Details

analyze758.0ms (17.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample70.0ms (1.6%)

Algorithm

1×

intervals

Results

42.0ms	141×	body	2048	valid
12.0ms	62×	body	1024	valid
3.0ms	24×	body	512	valid
1.0ms	13×	body	256	valid
1.0ms	16×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify154.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

465×	`sub-neg_binary64_1435`
405×	`distribute-neg-frac_binary64_1406`
368×	`div-sub_binary64_1447`
360×	`associate-/r*_binary64_1386`
309×	`distribute-rgt-neg-out_binary64_1402`
303×	`distribute-lft-neg-out_binary64_1401`
256×	`associate-/l/_binary64_1389`
248×	`neg-mul-1_binary64_1438`
247×	`times-frac_binary64_1448`
235×	`neg-sub0_binary64_1437`
230×	`associate-/r/_binary64_1388`
218×	`cancel-sign-sub-inv_binary64_1408`
206×	`distribute-frac-neg_binary64_1405`
201×	`associate-/l*_binary64_1387`
177×	`*-commutative_binary64_1373`
162×	`cancel-sign-sub_binary64_1407`
157×	`associate-l_binary64_1383`
138×	`associate-r_binary64_1382`
116×	`unsub-neg_binary64_1436`
108×	`associate-+r-_binary64_1376`
102×	`distribute-rgt-neg-in_binary64_1400` `associate-+l-_binary64_1377`
98×	`distribute-rgt-in_binary64_1392`
93×	`distribute-lft-in_binary64_1391`
90×	`associate-+l+_binary64_1375`
84×	`distribute-lft-neg-in_binary64_1399`
75×	`distribute-neg-in_binary64_1403`
71×	`+-commutative_binary64_1372`
69×	`associate--r+_binary64_1378`
67×	`associate-*l/_binary64_1385`
63×	`remove-double-neg_binary64_1430`
55×	`*-lft-identity_binary64_1431`
54×	`associate--l-_binary64_1380`
53×	`associate-*r/_binary64_1384`
47×	`associate--l+_binary64_1379`
45×	`*-rgt-identity_binary64_1432`
43×	`/-rgt-identity_binary64_1433`
42×	`sub0-neg_binary64_1429`
38×	`distribute-neg-out_binary64_1404` `associate--r-_binary64_1381`
37×	`+-lft-identity_binary64_1426`
30×	`+-rgt-identity_binary64_1427`
25×	`div0_binary64_1423`
23×	`--rgt-identity_binary64_1428` `mul0-rgt_binary64_1425`
22×	`distribute-rgt-out_binary64_1395`
21×	`distribute-rgt-out--_binary64_1396`
20×	`associate-+r+_binary64_1374`
19×	`mul0-lft_binary64_1424`
8×	`distribute-rgt1-in_binary64_1398`
4×	`mul-1-neg_binary64_1434` `*-inverses_binary64_1422`
3×	`distribute-lft1-in_binary64_1397` `distribute-lft-out--_binary64_1394`
2×	`+-inverses_binary64_1421` `swap-sqr_binary64_1409` `distribute-lft-out_binary64_1393`
1×	`1-exp_binary64_1486` `cube-unmult_binary64_1479` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `unswap-sqr_binary64_1410` `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-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-mult_binary64_1472` `cube-div_binary64_1471` `cube-prod_binary64_1470` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `remove-double-div_binary64_1418` `pow-sqr_binary64_1415` `sqr-pow_binary64_1414` `difference-of-squares_binary64_1411`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	28	21
2	74	21
3	209	21
4	552	21
5	1585	21
6	2453	21
7	3215	21

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

1.0b

Counts

3 → 1

Compiler

Compiled 42 to 29 computations (31% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.1b	(.f64 5 (.f64 v v))
1.0b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite98.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

20×	`add-sqr-sqrt_binary64_1464`
19×	`*-un-lft-identity_binary64_1442`
18×	`times-frac_binary64_1448`
15×	`add-cube-cbrt_binary64_1477`
10×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
8×	`pow1_binary64_1503` `difference-of-squares_binary64_1411`
6×	`associate-/r*_binary64_1386`
4×	`difference-of-sqr-1_binary64_1412`
3×	`add-log-exp_binary64_1481` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-l_binary64_1383` `associate-/l*_binary64_1387`
2×	`flip3--_binary64_1446` `associate-/l/_binary64_1389` `flip--_binary64_1417` `associate-/r/_binary64_1388`
1×	`acos-asin_binary64_1623` `unswap-sqr_binary64_1410` `associate-r_binary64_1382` `*-commutative_binary64_1373` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439`

Counts

3 → 71

Calls

3 calls:

8.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 1740 to 1097 computations (37% saved)

series90.0ms (2%)

Error

1.0b

Counts

3 → 12

Calls

3 calls:

30.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
28.0ms	(.f64 5 (.f64 v v))
21.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 370 to 330 computations (10.8% saved)

simplify167.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

599×	`div-sub_binary64_1447`
455×	`times-frac_binary64_1448`
289×	`associate-/l*_binary64_1387`
240×	`associate-/r*_binary64_1386`
232×	`*-commutative_binary64_1373`
216×	`distribute-rgt-in_binary64_1392`
200×	`distribute-lft-in_binary64_1391`
136×	`associate-/r/_binary64_1388`
126×	`associate-/l/_binary64_1389`
120×	`associate-*l/_binary64_1385`
90×	`associate-*r/_binary64_1384`
86×	`exp-prod_binary64_1494`
84×	`associate-l_binary64_1383`
76×	`associate-r_binary64_1382`
75×	`neg-sub0_binary64_1437`
71×	`neg-mul-1_binary64_1438` `+-commutative_binary64_1372`
62×	`distribute-neg-frac_binary64_1406`
58×	`unsub-neg_binary64_1436`
57×	`log-prod_binary64_1528`
54×	`cube-prod_binary64_1470`
49×	`cancel-sign-sub-inv_binary64_1408`
47×	`associate-+l+_binary64_1375`
46×	`associate-+r+_binary64_1374`
42×	`distribute-rgt-neg-in_binary64_1400`
39×	`sub-neg_binary64_1435`
38×	`distribute-rgt-out_binary64_1395`
36×	`sqr-pow_binary64_1414` `unswap-sqr_binary64_1410`
35×	`log-div_binary64_1529`
34×	`distribute-lft-neg-in_binary64_1399`
33×	`cube-div_binary64_1471`
20×	`*-rgt-identity_binary64_1432`
19×	`distribute-lft-out_binary64_1393` `associate-+r-_binary64_1376`
16×	`/-rgt-identity_binary64_1433` `distribute-lft-neg-out_binary64_1401`
15×	`associate-+l-_binary64_1377`
14×	`pow-plus_binary64_1505`
13×	`unpow3_binary64_1508` `*-lft-identity_binary64_1431` `pow-sqr_binary64_1415` `swap-sqr_binary64_1409` `distribute-neg-in_binary64_1403`
12×	`distribute-rgt-neg-out_binary64_1402`
10×	`cube-mult_binary64_1472` `associate--r+_binary64_1378`
9×	`cube-unmult_binary64_1479` `difference-of-sqr-1_binary64_1412`
8×	`associate--l+_binary64_1379`
6×	`log-rec_binary64_1530`
5×	`log-pow_binary64_1531` `distribute-rgt1-in_binary64_1398`
4×	`pow-base-1_binary64_1502` `exp-sum_binary64_1488` `associate--r-_binary64_1381`
3×	`exp-diff_binary64_1490` `distribute-rgt-out--_binary64_1396`
2×	`remove-double-neg_binary64_1430` `*-inverses_binary64_1422` `distribute-lft1-in_binary64_1397` `count-2_binary64_1390`
1×	`unpow2_binary64_1507` `unpow1_binary64_1500` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `cube-neg_binary64_1469` `sqr-neg_binary64_1456` `difference-of-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-neg-out_binary64_1404` `associate--l-_binary64_1380`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `unpow1/2_binary64_1506` `exp-to-pow_binary64_1504` `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` `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` `mul-1-neg_binary64_1434` `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` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `difference-of-sqr--1_binary64_1413` `distribute-frac-neg_binary64_1405` `distribute-lft-out--_binary64_1394`

Counts

83 → 162

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	1996
1	326	1824
2	1106	1817
3	3415	1817

prune221.0ms (5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	160	2	162
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	160	3	163

Error

1.0b

Counts

163 → 3

Compiler

Compiled 4371 to 2796 computations (36% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 v -1))
0.0b	(.f64 (/.f64 1 (+.f64 v 1)) (/.f64 (-.f64 1 (.f64 5 (*.f64 v v))) (+.f64 v -1)))
0.1b	(.f64 5 (.f64 v v))
1.5b	(acos.f64 (.f64 (/.f64 1 (+.f64 v 1)) (/.f64 (-.f64 1 (.f64 5 (*.f64 v v))) (+.f64 v -1))))

rewrite264.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

57×	`add-sqr-sqrt_binary64_1464`
54×	`*-un-lft-identity_binary64_1442`
49×	`times-frac_binary64_1448`
33×	`add-exp-log_binary64_1480`
32×	`add-cube-cbrt_binary64_1477`
23×	`add-cbrt-cube_binary64_1478`
22×	`associate-r_binary64_1382`
21×	`associate-l_binary64_1383`
11×	`pow1_binary64_1503` `prod-exp_binary64_1491`
10×	`distribute-lft-out_binary64_1393`
9×	`div-exp_binary64_1493`
7×	`cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `difference-of-sqr--1_binary64_1413`
6×	`associate-/r/_binary64_1388`
5×	`cbrt-undiv_binary64_1476` `associate-/r*_binary64_1386`
4×	`add-log-exp_binary64_1481` `pow-prod-down_binary64_1513`
3×	`div-inv_binary64_1439` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-/l*_binary64_1387`
2×	`*-commutative_binary64_1373` `1-exp_binary64_1486` `rec-exp_binary64_1492` `associate-/l/_binary64_1389`
1×	`acos-asin_binary64_1623` `frac-times_binary64_1452` `associate-l/_binary64_1385` `associate-r/_binary64_1384` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `flip3--_binary64_1446` `flip--_binary64_1417`

Counts

4 → 136

Calls

4 calls:

23.0ms	(.f64 (/.f64 1 (+.f64 v 1)) (/.f64 (-.f64 1 (.f64 5 (*.f64 v v))) (+.f64 v -1)))
8.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 v -1))
8.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (.f64 (/.f64 1 (+.f64 v 1)) (/.f64 (-.f64 1 (.f64 5 (*.f64 v v))) (+.f64 v -1))))

Compiler

Compiled 4028 to 2976 computations (26.1% saved)

series124.0ms (2.8%)

Error

1.0b

Counts

4 → 18

Calls

4 calls:

36.0ms	(.f64 (/.f64 1 (+.f64 v 1)) (/.f64 (-.f64 1 (.f64 5 (*.f64 v v))) (+.f64 v -1)))
29.0ms	(.f64 5 (.f64 v v))
24.0ms	(acos.f64 (.f64 (/.f64 1 (+.f64 v 1)) (/.f64 (-.f64 1 (.f64 5 (*.f64 v v))) (+.f64 v -1))))
20.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 v -1))

Compiler

Compiled 610 to 539 computations (11.6% saved)

simplify272.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

411×	`associate-/r*_binary64_1386`
365×	`distribute-rgt-in_binary64_1392`
334×	`distribute-lft-in_binary64_1391`
296×	`associate-/r/_binary64_1388`
222×	`associate-r_binary64_1382`
183×	`associate-/l_binary64_1387` `associate-l*_binary64_1383`
149×	`*-commutative_binary64_1373`
148×	`associate-*l/_binary64_1385`
143×	`associate-*r/_binary64_1384`
139×	`div-sub_binary64_1447`
81×	`cancel-sign-sub-inv_binary64_1408`
80×	`times-frac_binary64_1448`
71×	`distribute-rgt-neg-in_binary64_1400`
70×	`distribute-neg-frac_binary64_1406`
69×	`sub-neg_binary64_1435`
59×	`distribute-lft-neg-in_binary64_1399`
52×	`associate-/l/_binary64_1389`
50×	`*-lft-identity_binary64_1431`
47×	`sqr-pow_binary64_1414`
46×	`+-commutative_binary64_1372`
39×	`*-rgt-identity_binary64_1432` `unswap-sqr_binary64_1410`
38×	`distribute-rgt-out_binary64_1395`
34×	`log-prod_binary64_1528`
28×	`log-div_binary64_1529` `neg-sub0_binary64_1437`
27×	`exp-prod_binary64_1494`
26×	`neg-mul-1_binary64_1438` `distribute-lft-neg-out_binary64_1401`
25×	`distribute-lft-out_binary64_1393`
22×	`/-rgt-identity_binary64_1433`
21×	`distribute-rgt-neg-out_binary64_1402`
20×	`swap-sqr_binary64_1409`
19×	`cube-div_binary64_1471`
18×	`distribute-neg-in_binary64_1403`
16×	`unsub-neg_binary64_1436` `pow-sqr_binary64_1415`
14×	`cube-prod_binary64_1470` `associate-+r-_binary64_1376` `associate-+l+_binary64_1375`
12×	`cube-unmult_binary64_1479` `associate-+r+_binary64_1374`
9×	`pow-plus_binary64_1505` `distribute-rgt1-in_binary64_1398` `associate--l+_binary64_1379`
8×	`log-rec_binary64_1530` `mul-1-neg_binary64_1434` `distribute-rgt-out--_binary64_1396` `associate--r+_binary64_1378` `associate-+l-_binary64_1377`
7×	`+-rgt-identity_binary64_1427`
4×	`count-2_binary64_1390`
3×	`unpow3_binary64_1508` `difference-of-sqr--1_binary64_1413` `distribute-lft1-in_binary64_1397`
2×	`log-pow_binary64_1531` `exp-diff_binary64_1490` `exp-sum_binary64_1488` `cube-mult_binary64_1472` `remove-double-neg_binary64_1430` `sub0-neg_binary64_1429` `difference-of-squares_binary64_1411` `associate--r-_binary64_1381`
1×	`unpow2_binary64_1507` `unpow1_binary64_1500` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `+-lft-identity_binary64_1426` `div0_binary64_1423` `*-inverses_binary64_1422` `remove-double-div_binary64_1418` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-lft-out--_binary64_1394`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `unpow1/2_binary64_1506` `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` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `--rgt-identity_binary64_1428` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `difference-of-sqr-1_binary64_1412` `cancel-sign-sub_binary64_1407` `associate--l-_binary64_1380`

Counts

154 → 332

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	3972
1	652	3537
2	2243	3417

prune720.0ms (16.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	329	3	332
Fresh	0	1	1
Picked	0	1	1
Done	1	0	1
Total	330	5	335

Error

0.9b

Counts

335 → 5

Compiler

Compiled 9974 to 7144 computations (28.4% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.9b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))))
1.0b	(.f64 (sqrt.f64 (acos.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 v -1)) (+.f64 1 v)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))
1.0b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))
1.5b	(acos.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 v -1)) (+.f64 1 v)))

rewrite150.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

18×	`add-sqr-sqrt_binary64_1464`
13×	`sqrt-prod_binary64_1458`
9×	`pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `associate-l_binary64_1383` `associate-r_binary64_1382`
4×	`add-log-exp_binary64_1481` `unswap-sqr_binary64_1410`
3×	`pow1/2_binary64_1522` `pow-prod-down_binary64_1513` `sqrt-pow1_binary64_1460`
2×	`acos-asin_binary64_1623`
1×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `sqrt-unprod_binary64_1462` `*-commutative_binary64_1373` `rem-sqrt-square_binary64_1455`

Counts

4 → 59

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 v -1)) (+.f64 1 v)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))))
1.0ms	(acos.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 v -1)) (+.f64 1 v)))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))

Compiler

Compiled 2940 to 2002 computations (31.9% saved)

series222.0ms (5%)

Error

0.9b

Counts

4 → 12

Calls

4 calls:

107.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 v -1)) (+.f64 1 v)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))
41.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))))
29.0ms	(acos.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 v -1)) (+.f64 1 v)))
26.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))

Compiler

Compiled 1191 to 983 computations (17.5% saved)

simplify1.1s (24.6%)

Algorithm

1×	egg-herbie

Rules

925×	`div-sub_binary64_1447`
588×	`times-frac_binary64_1448`
359×	`associate-/l*_binary64_1387`
304×	`distribute-neg-frac_binary64_1406`
291×	`associate-l_binary64_1383`
217×	`associate-r_binary64_1382`
191×	`associate-/r*_binary64_1386`
181×	`sub-neg_binary64_1435`
105×	`cancel-sign-sub-inv_binary64_1408`
76×	`*-commutative_binary64_1373`
74×	`associate-*l/_binary64_1385`
73×	`distribute-rgt-neg-in_binary64_1400`
70×	`neg-sub0_binary64_1437`
67×	`distribute-rgt-in_binary64_1392`
65×	`associate-/l/_binary64_1389` `associate-/r/_binary64_1388`
63×	`neg-mul-1_binary64_1438` `unsub-neg_binary64_1436`
60×	`distribute-lft-neg-in_binary64_1399`
54×	`distribute-lft-in_binary64_1391`
49×	`sqr-pow_binary64_1414`
48×	`associate-*r/_binary64_1384`
41×	`unswap-sqr_binary64_1410`
38×	`*-rgt-identity_binary64_1432`
36×	`/-rgt-identity_binary64_1433` `*-lft-identity_binary64_1431`
34×	`associate-+l+_binary64_1375` `associate-+r+_binary64_1374`
28×	`cancel-sign-sub_binary64_1407`
27×	`div0_binary64_1423`
26×	`+-commutative_binary64_1372`
23×	`pow-sqr_binary64_1415`
21×	`associate-+l-_binary64_1377` `associate-+r-_binary64_1376`
19×	`remove-double-neg_binary64_1430`
17×	`exp-prod_binary64_1494`
16×	`log-prod_binary64_1528`
15×	`sub0-neg_binary64_1429`
14×	`distribute-lft-neg-out_binary64_1401`
13×	`cube-prod_binary64_1470`
12×	`pow-plus_binary64_1505` `+-rgt-identity_binary64_1427` `swap-sqr_binary64_1409`
10×	`cube-unmult_binary64_1479`
9×	`mul-1-neg_binary64_1434` `distribute-rgt-out_binary64_1395` `associate--r+_binary64_1378`
8×	`mul0-lft_binary64_1424` `distribute-neg-in_binary64_1403`
7×	`mul0-rgt_binary64_1425`
6×	`rem-sqrt-square_binary64_1455` `associate--r-_binary64_1381`
5×	`*-inverses_binary64_1422`
4×	`difference-of-sqr-1_binary64_1412`
3×	`rem-square-sqrt_binary64_1454` `distribute-rgt-neg-out_binary64_1402` `count-2_binary64_1390`
2×	`--rgt-identity_binary64_1428` `remove-double-div_binary64_1418` `difference-of-sqr--1_binary64_1413` `difference-of-squares_binary64_1411` `distribute-lft-out_binary64_1393`
1×	`unpow3_binary64_1508` `unpow2_binary64_1507` `pow-base-1_binary64_1502` `unpow1_binary64_1500` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `sqr-neg_binary64_1456` `+-lft-identity_binary64_1426` `rgt-mult-inverse_binary64_1419` `distribute-frac-neg_binary64_1405` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397`
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` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `unpow1/2_binary64_1506` `exp-to-pow_binary64_1504` `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-diff_binary64_1490` `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-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` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `distribute-neg-out_binary64_1404` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394` `associate--l-_binary64_1380` `associate--l+_binary64_1379`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	93	2511
1	174	2295
2	470	2102
3	735	2098
4	2914	2008

Details

analyze758.0ms (17.1%)

sample70.0ms (1.6%)

simplify154.0ms (3.5%)

prune7.0ms (0.2%)

localize7.0ms (0.2%)

rewrite98.0ms (2.2%)

series90.0ms (2%)

simplify167.0ms (3.7%)

prune221.0ms (5%)

localize11.0ms (0.2%)

rewrite264.0ms (5.9%)

series124.0ms (2.8%)

simplify272.0ms (6.1%)

prune720.0ms (16.2%)

localize17.0ms (0.4%)

rewrite150.0ms (3.4%)

series222.0ms (5%)

simplify1.1s (24.6%)

end0.0ms (0%)

Profiling