Details

analyze1.0s (13.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

694×	`div-sub_binary64_1447`
602×	`neg-mul-1_binary64_1438`
550×	`sub-neg_binary64_1435`
311×	`associate-/r*_binary64_1386`
286×	`distribute-neg-frac_binary64_1406`
242×	`associate-/l/_binary64_1389`
222×	`associate-/r/_binary64_1388`
219×	`distribute-frac-neg_binary64_1405`
217×	`times-frac_binary64_1448`
208×	`distribute-rgt-neg-out_binary64_1402`
199×	`associate-*l/_binary64_1385`
188×	`associate-/l*_binary64_1387`
184×	`distribute-lft-in_binary64_1391` `*-commutative_binary64_1373`
171×	`distribute-rgt-in_binary64_1392`
163×	`cancel-sign-sub-inv_binary64_1408`
127×	`cancel-sign-sub_binary64_1407`
120×	`associate-*r/_binary64_1384`
118×	`associate-l_binary64_1383`
114×	`unsub-neg_binary64_1436`
113×	`associate-r_binary64_1382`
104×	`neg-sub0_binary64_1437`
92×	`associate-+l+_binary64_1375`
82×	`distribute-neg-in_binary64_1403` `+-commutative_binary64_1372`
81×	`associate-+r+_binary64_1374`
76×	`distribute-rgt-neg-in_binary64_1400` `associate-+l-_binary64_1377`
69×	`distribute-lft-neg-in_binary64_1399`
67×	`/-rgt-identity_binary64_1433`
53×	`associate--r+_binary64_1378`
52×	`*-lft-identity_binary64_1431`
51×	`associate-+r-_binary64_1376`
49×	`sub0-neg_binary64_1429`
40×	`*-rgt-identity_binary64_1432`
34×	`distribute-lft-neg-out_binary64_1401`
30×	`distribute-neg-out_binary64_1404`
26×	`div0_binary64_1423` `associate--l+_binary64_1379`
24×	`distribute-rgt-out_binary64_1395`
18×	`--rgt-identity_binary64_1428` `associate--r-_binary64_1381` `associate--l-_binary64_1380`
17×	`distribute-rgt-out--_binary64_1396`
13×	`remove-double-neg_binary64_1430` `+-rgt-identity_binary64_1427` `mul0-rgt_binary64_1425`
7×	`cube-prod_binary64_1470` `mul0-lft_binary64_1424` `swap-sqr_binary64_1409`
6×	`distribute-rgt1-in_binary64_1398`
5×	`cube-div_binary64_1471` `+-lft-identity_binary64_1426`
4×	`mul-1-neg_binary64_1434` `*-inverses_binary64_1422`
3×	`sqr-neg_binary64_1456` `distribute-lft1-in_binary64_1397`
2×	`cube-neg_binary64_1469` `distribute-lft-out--_binary64_1394`
1×	`unpow3_binary64_1508` `1-exp_binary64_1486` `cube-unmult_binary64_1479` `cube-mult_binary64_1472` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `sqr-pow_binary64_1414` `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` `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` `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` `remove-double-div_binary64_1418` `pow-sqr_binary64_1415` `difference-of-sqr--1_binary64_1413` `difference-of-squares_binary64_1411` `unswap-sqr_binary64_1410` `distribute-lft-out_binary64_1393` `count-2_binary64_1390`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	30	21
2	71	21
3	195	21
4	504	21
5	1254	21
6	2437	21
7	3311	21
8	4638	21
9	4955	21
0	1	1
1	1	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)

sample64.0ms (0.9%)

Algorithm

1×

intervals

Results

36.0ms	125×	body	2048	valid
11.0ms	54×	body	1024	valid
5.0ms	33×	body	512	valid
2.0ms	20×	body	256	valid
1.0ms	24×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

694×	`div-sub_binary64_1447`
602×	`neg-mul-1_binary64_1438`
550×	`sub-neg_binary64_1435`
311×	`associate-/r*_binary64_1386`
286×	`distribute-neg-frac_binary64_1406`
242×	`associate-/l/_binary64_1389`
222×	`associate-/r/_binary64_1388`
219×	`distribute-frac-neg_binary64_1405`
217×	`times-frac_binary64_1448`
208×	`distribute-rgt-neg-out_binary64_1402`
199×	`associate-*l/_binary64_1385`
188×	`associate-/l*_binary64_1387`
184×	`distribute-lft-in_binary64_1391` `*-commutative_binary64_1373`
171×	`distribute-rgt-in_binary64_1392`
163×	`cancel-sign-sub-inv_binary64_1408`
127×	`cancel-sign-sub_binary64_1407`
120×	`associate-*r/_binary64_1384`
118×	`associate-l_binary64_1383`
114×	`unsub-neg_binary64_1436`
113×	`associate-r_binary64_1382`
104×	`neg-sub0_binary64_1437`
92×	`associate-+l+_binary64_1375`
82×	`distribute-neg-in_binary64_1403` `+-commutative_binary64_1372`
81×	`associate-+r+_binary64_1374`
76×	`distribute-rgt-neg-in_binary64_1400` `associate-+l-_binary64_1377`
69×	`distribute-lft-neg-in_binary64_1399`
67×	`/-rgt-identity_binary64_1433`
53×	`associate--r+_binary64_1378`
52×	`*-lft-identity_binary64_1431`
51×	`associate-+r-_binary64_1376`
49×	`sub0-neg_binary64_1429`
40×	`*-rgt-identity_binary64_1432`
34×	`distribute-lft-neg-out_binary64_1401`
30×	`distribute-neg-out_binary64_1404`
26×	`div0_binary64_1423` `associate--l+_binary64_1379`
24×	`distribute-rgt-out_binary64_1395`
18×	`--rgt-identity_binary64_1428` `associate--r-_binary64_1381` `associate--l-_binary64_1380`
17×	`distribute-rgt-out--_binary64_1396`
13×	`remove-double-neg_binary64_1430` `+-rgt-identity_binary64_1427` `mul0-rgt_binary64_1425`
7×	`cube-prod_binary64_1470` `mul0-lft_binary64_1424` `swap-sqr_binary64_1409`
6×	`distribute-rgt1-in_binary64_1398`
5×	`cube-div_binary64_1471` `+-lft-identity_binary64_1426`
4×	`mul-1-neg_binary64_1434` `*-inverses_binary64_1422`
3×	`sqr-neg_binary64_1456` `distribute-lft1-in_binary64_1397`
2×	`cube-neg_binary64_1469` `distribute-lft-out--_binary64_1394`
1×	`unpow3_binary64_1508` `1-exp_binary64_1486` `cube-unmult_binary64_1479` `cube-mult_binary64_1472` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `sqr-pow_binary64_1414` `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` `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` `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` `remove-double-div_binary64_1418` `pow-sqr_binary64_1415` `difference-of-sqr--1_binary64_1413` `difference-of-squares_binary64_1411` `unswap-sqr_binary64_1410` `distribute-lft-out_binary64_1393` `count-2_binary64_1390`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	30	21
2	71	21
3	195	21
4	504	21
5	1254	21
6	2437	21
7	3311	21
8	4638	21
9	4955	21

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.8b

Counts

1 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.0b	(-.f64 1 (.f64 5 (.f64 v v)))
0.2b	(.f64 5 (.f64 v v))
0.8b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite132.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

21×	`add-sqr-sqrt_binary64_1464`
20×	`*-un-lft-identity_binary64_1442`
18×	`times-frac_binary64_1448`
16×	`add-cube-cbrt_binary64_1477`
11×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
9×	`pow1_binary64_1503`
8×	`difference-of-squares_binary64_1411`
6×	`add-log-exp_binary64_1481` `associate-/r*_binary64_1386`
4×	`difference-of-sqr-1_binary64_1412`
3×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-l_binary64_1383` `flip3--_binary64_1446` `flip--_binary64_1417` `associate-/l*_binary64_1387`
2×	`associate-/l/_binary64_1389` `associate-/r/_binary64_1388`
1×	`acos-asin_binary64_1623` `unswap-sqr_binary64_1410` `associate-r_binary64_1382` `*-commutative_binary64_1373` `diff-log_binary64_1534` `sub-neg_binary64_1435` `cancel-sign-sub-inv_binary64_1408` `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

4 → 83

Calls

4 calls:

9.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
3.0ms	(-.f64 1 (.f64 5 (.f64 v v)))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 2011 to 1266 computations (37% saved)

series204.0ms (2.8%)

Error

0.8b

Counts

4 → 18

Calls

4 calls:

70.0ms	(-.f64 1 (.f64 5 (.f64 v v)))
44.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
43.0ms	(.f64 5 (.f64 v v))
31.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 560 to 480 computations (14.3% saved)

simplify144.0ms (2%)

Algorithm

1×	egg-herbie

Rules

396×	`div-sub_binary64_1447`
376×	`times-frac_binary64_1448`
235×	`associate-/l*_binary64_1387`
212×	`distribute-rgt-in_binary64_1392`
205×	`*-commutative_binary64_1373`
195×	`distribute-lft-in_binary64_1391`
188×	`associate-/r*_binary64_1386`
141×	`exp-prod_binary64_1494`
125×	`sub-neg_binary64_1435`
123×	`associate-*l/_binary64_1385`
118×	`distribute-rgt-neg-in_binary64_1400`
112×	`associate-/r/_binary64_1388`
108×	`cancel-sign-sub-inv_binary64_1408`
107×	`associate-/l/_binary64_1389`
104×	`distribute-lft-neg-in_binary64_1399`
101×	`neg-sub0_binary64_1437`
99×	`associate-*r/_binary64_1384`
96×	`log-prod_binary64_1528` `neg-mul-1_binary64_1438`
82×	`cube-prod_binary64_1470`
75×	`unsub-neg_binary64_1436` `associate-l_binary64_1383`
69×	`sqr-pow_binary64_1414`
68×	`associate-r_binary64_1382`
57×	`log-div_binary64_1529`
56×	`distribute-rgt-out_binary64_1395`
52×	`distribute-neg-frac_binary64_1406` `+-commutative_binary64_1372`
51×	`cube-div_binary64_1471`
45×	`associate-+r+_binary64_1374`
40×	`associate-+l+_binary64_1375`
35×	`exp-diff_binary64_1490`
31×	`*-rgt-identity_binary64_1432`
30×	`/-rgt-identity_binary64_1433`
29×	`unpow3_binary64_1508` `*-lft-identity_binary64_1431`
26×	`distribute-lft-out_binary64_1393`
23×	`cube-mult_binary64_1472`
19×	`exp-sum_binary64_1488`
16×	`unswap-sqr_binary64_1410`
15×	`mul-1-neg_binary64_1434`
12×	`distribute-neg-in_binary64_1403`
11×	`swap-sqr_binary64_1409`
10×	`log-rec_binary64_1530` `distribute-lft-neg-out_binary64_1401`
9×	`distribute-rgt1-in_binary64_1398` `associate-+l-_binary64_1377` `associate-+r-_binary64_1376`
8×	`associate--l+_binary64_1379` `associate--r+_binary64_1378`
6×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `distribute-lft1-in_binary64_1397`
5×	`pow-plus_binary64_1505` `cube-unmult_binary64_1479` `remove-double-neg_binary64_1430` `pow-sqr_binary64_1415`
4×	`log-pow_binary64_1531` `sub0-neg_binary64_1429` `difference-of-sqr-1_binary64_1412` `distribute-rgt-neg-out_binary64_1402`
3×	`unpow1/2_binary64_1506` `+-rgt-identity_binary64_1427` `difference-of-sqr--1_binary64_1413`
2×	`*-inverses_binary64_1422` `distribute-rgt-out--_binary64_1396`
1×	`unpow2_binary64_1507` `unpow1_binary64_1500` `div-exp_binary64_1493` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `cube-neg_binary64_1469` `sqr-neg_binary64_1456` `rem-sqrt-square_binary64_1455` `remove-double-div_binary64_1418` `count-2_binary64_1390` `associate--r-_binary64_1381` `associate--l-_binary64_1380`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `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-square-sqrt_binary64_1454` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `div0_binary64_1423` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `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`

Counts

101 → 53

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	2156
1	320	2009
2	1039	2004
3	3568	2004
4	4763	2004
5	4990	2004
6	4901	2004

prune62.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	2	54

Error

0.8b

Counts

54 → 2

Compiler

Compiled 1026 to 676 computations (34.1% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 (pow.f64 v 4) 25)) (+.f64 1 (.f64 5 (*.f64 v v))))
0.1b	(*.f64 (pow.f64 v 4) 25)
0.2b	(.f64 5 (.f64 v v))
0.8b	(acos.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (pow.f64 v 4) 25)) (+.f64 1 (.f64 5 (.f64 v v)))) (-.f64 (.f64 v v) 1)))

rewrite172.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

22×	`add-sqr-sqrt_binary64_1464`
16×	`add-exp-log_binary64_1480` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
13×	`add-cbrt-cube_binary64_1478`
10×	`associate-l_binary64_1383`
9×	`pow1_binary64_1503` `times-frac_binary64_1448`
6×	`prod-exp_binary64_1491`
4×	`add-log-exp_binary64_1481` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `associate-r_binary64_1382` `unpow-prod-down_binary64_1521`
3×	`pow-prod-down_binary64_1513` `associate-/l_binary64_1387` `associate-/r_binary64_1386`
2×	`*-commutative_binary64_1373` `sqr-pow_binary64_1414` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388`
1×	`acos-asin_binary64_1623` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439` `flip3--_binary64_1446` `flip--_binary64_1417` `flip3-+_binary64_1445` `flip-+_binary64_1416`

Counts

4 → 84

Calls

4 calls:

7.0ms	(/.f64 (-.f64 1 (.f64 (pow.f64 v 4) 25)) (+.f64 1 (.f64 5 (*.f64 v v))))
6.0ms	(.f64 5 (.f64 v v))
5.0ms	(*.f64 (pow.f64 v 4) 25)
1.0ms	(acos.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (pow.f64 v 4) 25)) (+.f64 1 (.f64 5 (.f64 v v)))) (-.f64 (.f64 v v) 1)))

Compiler

Compiled 2716 to 1947 computations (28.3% saved)

series309.0ms (4.3%)

Error

0.8b

Counts

4 → 15

Calls

4 calls:

146.0ms	(/.f64 (-.f64 1 (.f64 (pow.f64 v 4) 25)) (+.f64 1 (.f64 5 (*.f64 v v))))
55.0ms	(*.f64 (pow.f64 v 4) 25)
45.0ms	(acos.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (pow.f64 v 4) 25)) (+.f64 1 (.f64 5 (.f64 v v)))) (-.f64 (.f64 v v) 1)))
45.0ms	(.f64 5 (.f64 v v))

Compiler

Compiled 784 to 641 computations (18.2% saved)

simplify115.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

701×	`times-frac_binary64_1448`
450×	`associate-/l*_binary64_1387`
379×	`associate-/r*_binary64_1386`
168×	`associate-*l/_binary64_1385`
156×	`exp-prod_binary64_1494`
145×	`associate-l_binary64_1383`
144×	`distribute-rgt-in_binary64_1392`
128×	`distribute-lft-in_binary64_1391`
122×	`associate-/r/_binary64_1388`
121×	`log-prod_binary64_1528`
115×	`associate-r_binary64_1382`
111×	`associate-/l/_binary64_1389`
100×	`cube-prod_binary64_1470`
92×	`associate-*r/_binary64_1384`
88×	`distribute-rgt-neg-in_binary64_1400`
76×	`log-div_binary64_1529`
73×	`cube-div_binary64_1471` `distribute-lft-neg-in_binary64_1399`
67×	`cancel-sign-sub-inv_binary64_1408`
64×	`distribute-neg-frac_binary64_1406` `distribute-rgt-out_binary64_1395`
58×	`*-commutative_binary64_1373`
44×	`swap-sqr_binary64_1409`
42×	`sqr-pow_binary64_1414` `unswap-sqr_binary64_1410`
39×	`div-sub_binary64_1447`
32×	`distribute-lft-out_binary64_1393`
23×	`sub-neg_binary64_1435`
21×	`*-rgt-identity_binary64_1432`
20×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437` `*-lft-identity_binary64_1431`
19×	`unpow3_binary64_1508` `+-commutative_binary64_1372`
17×	`cube-mult_binary64_1472`
12×	`/-rgt-identity_binary64_1433`
11×	`log-pow_binary64_1531` `pow-plus_binary64_1505`
10×	`distribute-lft-neg-out_binary64_1401`
7×	`log-rec_binary64_1530` `cube-unmult_binary64_1479` `distribute-neg-in_binary64_1403`
5×	`unpow1/2_binary64_1506` `distribute-rgt1-in_binary64_1398`
4×	`pow-sqr_binary64_1415` `distribute-rgt-neg-out_binary64_1402`
3×	`unpow2_binary64_1507` `unpow1_binary64_1500` `exp-diff_binary64_1490` `exp-sum_binary64_1488` `rem-sqrt-square_binary64_1455` `unsub-neg_binary64_1436` `associate-+l+_binary64_1375` `associate-+r+_binary64_1374`
2×	`distribute-lft1-in_binary64_1397` `count-2_binary64_1390` `associate--r+_binary64_1378`
1×	`1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-square-sqrt_binary64_1454` `remove-double-neg_binary64_1430` `*-inverses_binary64_1422` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `associate--r-_binary64_1381`
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` `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-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394` `associate--l-_binary64_1380` `associate--l+_binary64_1379` `associate-+l-_binary64_1377` `associate-+r-_binary64_1376`

Counts

99 → 76

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	2107
1	351	1934
2	1213	1918
3	4406	1918
4	5000	1918
5	4917	1918

prune134.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	75	3	78

Error

0.8b

Counts

78 → 3

Compiler

Compiled 2295 to 1635 computations (28.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.8b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
1.0b	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)

rewrite134.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

12×	`add-sqr-sqrt_binary64_1464` `cbrt-prod_binary64_1473`
11×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
10×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
6×	`unpow-prod-down_binary64_1521` `cube-prod_binary64_1470`
4×	`add-log-exp_binary64_1481`
3×	`pow-unpow_binary64_1519` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-l_binary64_1383`
2×	`unpow3_binary64_1508` `cube-mult_binary64_1472` `sqr-pow_binary64_1414`
1×	`pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `rem-cube-cbrt_binary64_1465` `pow1/3_binary64_1524` `rem-cbrt-cube_binary64_1466` `acos-asin_binary64_1623` `unswap-sqr_binary64_1410` `associate-r_binary64_1382` `*-commutative_binary64_1373`

Counts

4 → 71

Calls

4 calls:

8.0ms	(.f64 5 (.f64 v v))
2.0ms	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
2.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 2102 to 1401 computations (33.3% saved)

series269.0ms (3.7%)

Error

0.8b

Counts

4 → 12

Calls

4 calls:

145.0ms	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
45.0ms	(.f64 5 (.f64 v v))
34.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
33.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))

Compiler

Compiled 585 to 527 computations (9.9% saved)

simplify147.0ms (2%)

Algorithm

1×	egg-herbie

Rules

530×	`associate-l_binary64_1383`
455×	`log-prod_binary64_1528`
429×	`associate-r_binary64_1382`
399×	`exp-prod_binary64_1494`
363×	`cube-prod_binary64_1470`
241×	`unswap-sqr_binary64_1410`
171×	`associate-/l*_binary64_1387`
156×	`unpow3_binary64_1508`
155×	`swap-sqr_binary64_1409`
133×	`sqr-pow_binary64_1414`
119×	`times-frac_binary64_1448`
110×	`cube-mult_binary64_1472`
94×	`pow-plus_binary64_1505`
83×	`log-pow_binary64_1531`
66×	`*-commutative_binary64_1373`
65×	`distribute-rgt-in_binary64_1392`
60×	`distribute-lft-in_binary64_1391` `associate-/r*_binary64_1386`
46×	`associate-+l+_binary64_1375`
44×	`pow-sqr_binary64_1415`
42×	`associate-+r+_binary64_1374`
33×	`cancel-sign-sub-inv_binary64_1408` `associate-*r/_binary64_1384`
31×	`distribute-neg-frac_binary64_1406` `associate-/r/_binary64_1388`
27×	`associate-/l/_binary64_1389`
26×	`distribute-rgt-neg-in_binary64_1400` `associate-*l/_binary64_1385`
25×	`distribute-lft-neg-in_binary64_1399`
24×	`cube-unmult_binary64_1479`
23×	`div-sub_binary64_1447`
18×	`sub-neg_binary64_1435`
13×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437` `count-2_binary64_1390` `+-commutative_binary64_1372`
12×	`distribute-rgt-out_binary64_1395`
10×	`rem-sqrt-square_binary64_1455`
6×	`distribute-lft-out_binary64_1393`
5×	`-rgt-identity_binary64_1432` `-lft-identity_binary64_1431`
4×	`unpow2_binary64_1507` `rem-cbrt-cube_binary64_1466`
2×	`unpow1/2_binary64_1506` `unpow1_binary64_1500` `difference-of-sqr-1_binary64_1412` `associate-+l-_binary64_1377`
1×	`1-exp_binary64_1486` `rem-3cbrt-lft_binary64_1467` `rem-cube-cbrt_binary64_1465` `rem-square-sqrt_binary64_1454` `mul-1-neg_binary64_1434` `sub0-neg_binary64_1429` `*-inverses_binary64_1422` `difference-of-sqr--1_binary64_1413` `distribute-lft-neg-out_binary64_1401` `associate-+r-_binary64_1376`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `log-rec_binary64_1530` `log-div_binary64_1529` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `div-exp_binary64_1493` `rec-exp_binary64_1492` `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-div_binary64_1471` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `unsub-neg_binary64_1436` `/-rgt-identity_binary64_1433` `remove-double-neg_binary64_1430` `--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-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-neg-in_binary64_1403` `distribute-rgt-neg-out_binary64_1402` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394` `associate--r-_binary64_1381` `associate--l-_binary64_1380` `associate--l+_binary64_1379` `associate--r+_binary64_1378`

Counts

83 → 54

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	95	2204
1	168	1905
2	457	1884
3	2062	1884
4	4476	1881
5	4898	1881
6	4883	1881

prune79.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	52	5	57

Error

0.8b

Counts

57 → 5

Compiler

Compiled 1325 to 873 computations (34.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
0.0b	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
0.2b	(.f64 5 (.f64 v v))
0.8b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite91.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

11×	`pow1_binary64_1503`
10×	`add-exp-log_binary64_1480`
9×	`add-cbrt-cube_binary64_1478` `add-sqr-sqrt_binary64_1464`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`log-prod_binary64_1528`
4×	`add-log-exp_binary64_1481` `exp-prod_binary64_1494`
3×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-l_binary64_1383` `exp-sum_binary64_1488`
2×	`log-pow_binary64_1531`
1×	`acos-asin_binary64_1623` `unswap-sqr_binary64_1410` `associate-r_binary64_1382` `*-commutative_binary64_1373` `rem-exp-log_binary64_1482` `rem-log-exp_binary64_1483`

Counts

4 → 54

Calls

4 calls:

6.0ms	(.f64 5 (.f64 v v))
2.0ms	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
1.0ms	(log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 1418 to 927 computations (34.6% saved)

series508.0ms (7%)

Error

0.8b

Counts

4 → 12

Calls

4 calls:

223.0ms	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
194.0ms	(log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
44.0ms	(.f64 5 (.f64 v v))
33.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 576 to 518 computations (10.1% saved)

simplify99.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

647×	`associate-/l*_binary64_1387`
586×	`div-sub_binary64_1447`
402×	`associate-/r*_binary64_1386`
313×	`associate-/r/_binary64_1388`
262×	`associate-/l/_binary64_1389`
228×	`associate-*l/_binary64_1385`
177×	`associate-*r/_binary64_1384`
173×	`*-commutative_binary64_1373`
168×	`associate-l_binary64_1383`
125×	`associate-r_binary64_1382`
122×	`unswap-sqr_binary64_1410`
119×	`times-frac_binary64_1448`
117×	`distribute-neg-frac_binary64_1406`
100×	`cancel-sign-sub-inv_binary64_1408`
92×	`distribute-rgt-neg-in_binary64_1400`
86×	`distribute-lft-neg-in_binary64_1399`
73×	`sqr-pow_binary64_1414`
50×	`log-prod_binary64_1528`
48×	`exp-prod_binary64_1494` `distribute-rgt-in_binary64_1392`
46×	`sub-neg_binary64_1435` `distribute-lft-in_binary64_1391`
36×	`cube-prod_binary64_1470`
26×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
22×	`pow-sqr_binary64_1415`
19×	`log-div_binary64_1529` `cube-div_binary64_1471`
14×	`log-pow_binary64_1531` `pow-plus_binary64_1505`
11×	`distribute-frac-neg_binary64_1405` `+-commutative_binary64_1372`
10×	`unpow3_binary64_1508`
9×	`cube-unmult_binary64_1479`
8×	`swap-sqr_binary64_1409`
6×	`rem-exp-log_binary64_1482` `cube-mult_binary64_1472` `distribute-rgt-neg-out_binary64_1402` `distribute-lft-neg-out_binary64_1401`
5×	`div0_binary64_1423` `distribute-rgt-out_binary64_1395` `count-2_binary64_1390` `associate-+l+_binary64_1375`
4×	`*-inverses_binary64_1422` `associate-+r+_binary64_1374`
3×	`exp-to-pow_binary64_1504` `unpow1_binary64_1500` `prod-exp_binary64_1491` `unsub-neg_binary64_1436` `-rgt-identity_binary64_1432` `-lft-identity_binary64_1431` `difference-of-sqr-1_binary64_1412`
2×	`rem-log-exp_binary64_1483` `rem-sqrt-square_binary64_1455` `sub0-neg_binary64_1429` `distribute-lft-out_binary64_1393` `associate-+l-_binary64_1377`
1×	`unpow2_binary64_1507` `unpow1/2_binary64_1506` `exp-sum_binary64_1488` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `mul-1-neg_binary64_1434` `+-rgt-identity_binary64_1427` `difference-of-sqr--1_binary64_1413` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `associate-+r-_binary64_1376`
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` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `div-exp_binary64_1493` `rec-exp_binary64_1492` `exp-diff_binary64_1490` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `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` `/-rgt-identity_binary64_1433` `remove-double-neg_binary64_1430` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `difference-of-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-neg-out_binary64_1404` `distribute-neg-in_binary64_1403` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394` `associate--r-_binary64_1381` `associate--l-_binary64_1380` `associate--l+_binary64_1379` `associate--r+_binary64_1378`

Counts

66 → 35

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	1550
1	131	1305
2	278	1296
3	674	1284
4	1510	1284
5	4455	1284
6	5558	1284

prune44.0ms (0.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	34	6	40

Error

0.8b

Counts

40 → 6

Compiler

Compiled 688 to 451 computations (34.4% saved)

regimes393.0ms (5.4%)

Accuracy

Total 0.0b remaining (3.2%)

Threshold costs 0.0b (3.2%)

Compiler

Compiled 5644 to 4057 computations (28.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
9×	`sub-neg_binary64_1435` `*-commutative_binary64_1373` `+-commutative_binary64_1372`
8×	`distribute-rgt-neg-in_binary64_1400`
7×	`distribute-lft-neg-in_binary64_1399`
6×	`distribute-rgt-neg-out_binary64_1402` `distribute-lft-neg-out_binary64_1401`
5×	`unsub-neg_binary64_1436` `-rgt-identity_binary64_1432` `-lft-identity_binary64_1431`
4×	`cancel-sign-sub-inv_binary64_1408`
1×	`1-exp_binary64_1486`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `unpow1_binary64_1500` `e-exp-1_binary64_1487` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	26	28
2	41	28
3	54	28
4	78	28
5	83	28
6	86	28
7	87	28
8	83	28

end0.0ms (0%)

sample3.0s (41.5%)

Algorithm

1×

intervals

Results

1.2s	3950×	body	2048	valid
403.0ms	2035×	body	1024	valid
140.0ms	1006×	body	512	valid
49.0ms	516×	body	256	valid
25.0ms	493×	body	128	valid
0.0ms	6×	body	128	nan

Compiler

Compiled 1199 to 867 computations (27.7% saved)

Details

analyze1.0s (13.8%)

sample64.0ms (0.9%)

simplify76.0ms (1.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite132.0ms (1.8%)

series204.0ms (2.8%)

simplify144.0ms (2%)

prune62.0ms (0.9%)

localize14.0ms (0.2%)

rewrite172.0ms (2.4%)

series309.0ms (4.3%)

simplify115.0ms (1.6%)

prune134.0ms (1.9%)

localize11.0ms (0.1%)

rewrite134.0ms (1.9%)

series269.0ms (3.7%)

simplify147.0ms (2%)

prune79.0ms (1.1%)

localize11.0ms (0.1%)

rewrite91.0ms (1.3%)

series508.0ms (7%)

simplify99.0ms (1.4%)

prune44.0ms (0.6%)

regimes393.0ms (5.4%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample3.0s (41.5%)

Profiling