Details

analyze803.0ms (5.8%)

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 (0.5%)

Algorithm

1×

intervals

Results

40.0ms	140×	body	2048	valid
14.0ms	71×	body	1024	valid
4.0ms	25×	body	512	valid
1.0ms	8×	body	256	valid
1.0ms	12×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify520.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

845×	`div-sub_binary64_1447`
740×	`sub-neg_binary64_1435`
500×	`exp-prod_binary64_1494`
425×	`times-frac_binary64_1448`
331×	`unsub-neg_binary64_1436`
264×	`associate-/l*_binary64_1387`
249×	`neg-mul-1_binary64_1438`
202×	`neg-sub0_binary64_1437`
132×	`distribute-rgt-out_binary64_1395`
131×	`*-commutative_binary64_1373`
130×	`distribute-neg-frac_binary64_1406` `distribute-lft-out_binary64_1393`
127×	`distribute-rgt-in_binary64_1392`
125×	`cancel-sign-sub-inv_binary64_1408`
121×	`distribute-lft-out--_binary64_1394`
110×	`associate-/r*_binary64_1386`
105×	`distribute-lft-in_binary64_1391`
89×	`associate-*l/_binary64_1385`
88×	`distribute-rgt-neg-out_binary64_1402` `associate-r_binary64_1382`
87×	`associate-l_binary64_1383`
86×	`distribute-rgt-out--_binary64_1396`
85×	`distribute-frac-neg_binary64_1405`
81×	`associate-/r/_binary64_1388`
78×	`associate-/l/_binary64_1389`
71×	`distribute-lft-neg-out_binary64_1401`
68×	`associate-*r/_binary64_1384`
62×	`distribute-rgt-neg-in_binary64_1400`
61×	`associate-+l-_binary64_1377`
52×	`distribute-lft-neg-in_binary64_1399`
46×	`associate--r+_binary64_1378`
43×	`+-commutative_binary64_1372`
39×	`associate-+r-_binary64_1376`
30×	`*-lft-identity_binary64_1431`
29×	`mul0-rgt_binary64_1425`
28×	`div0_binary64_1423`
26×	`mul0-lft_binary64_1424` `associate--l+_binary64_1379`
25×	`/-rgt-identity_binary64_1433`
23×	`exp-sum_binary64_1488`
20×	`swap-sqr_binary64_1409`
18×	`*-rgt-identity_binary64_1432`
17×	`sub0-neg_binary64_1429` `distribute-neg-in_binary64_1403`
16×	`associate-+r+_binary64_1374`
13×	`pow-plus_binary64_1505` `distribute-rgt1-in_binary64_1398`
10×	`exp-diff_binary64_1490` `associate-+l+_binary64_1375`
8×	`cube-prod_binary64_1470`
7×	`+-rgt-identity_binary64_1427` `associate--r-_binary64_1381`
6×	`cube-div_binary64_1471`
5×	`cube-unmult_binary64_1479` `remove-double-div_binary64_1418` `associate--l-_binary64_1380`
2×	`sqr-neg_binary64_1456` `mul-1-neg_binary64_1434` `remove-double-neg_binary64_1430` `*-inverses_binary64_1422` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-neg-out_binary64_1404`
1×	`div-exp_binary64_1493` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `exp-neg_binary64_1489` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `--rgt-identity_binary64_1428` `distribute-lft1-in_binary64_1397` `count-2_binary64_1390`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `log-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` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-mult_binary64_1472` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `+-lft-identity_binary64_1426` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `pow-sqr_binary64_1415` `sqr-pow_binary64_1414` `difference-of-sqr--1_binary64_1413` `unswap-sqr_binary64_1410`

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	627	21
5	2058	21
6	3964	21

prune4.0ms (0%)

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

0.2b

Counts

3 → 1

Compiler

Compiled 42 to 29 computations (31% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite132.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439` `diff-log_binary64_1534` `sub-neg_binary64_1435` `cancel-sign-sub-inv_binary64_1408`

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)

series202.0ms (1.5%)

Error

0.2b

Counts

4 → 18

Calls

4 calls:

66.0ms	(-.f64 1 (.f64 5 (.f64 v v)))
49.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
40.0ms	(.f64 5 (.f64 v v))
32.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 560 to 480 computations (14.3% saved)

simplify367.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

669×	`times-frac_binary64_1448`
332×	`associate-/l*_binary64_1387`
229×	`associate-/r*_binary64_1386`
214×	`distribute-rgt-in_binary64_1392`
192×	`distribute-lft-in_binary64_1391`
189×	`*-commutative_binary64_1373`
179×	`associate-/l/_binary64_1389`
169×	`associate-*l/_binary64_1385`
165×	`associate-/r/_binary64_1388`
158×	`exp-prod_binary64_1494`
150×	`associate-*r/_binary64_1384`
122×	`distribute-rgt-neg-in_binary64_1400`
121×	`cancel-sign-sub-inv_binary64_1408`
107×	`distribute-lft-neg-in_binary64_1399`
105×	`div-sub_binary64_1447`
92×	`log-prod_binary64_1528`
84×	`associate-l_binary64_1383`
83×	`cube-prod_binary64_1470` `associate-r_binary64_1382`
77×	`log-div_binary64_1529`
73×	`cube-div_binary64_1471`
66×	`distribute-neg-frac_binary64_1406`
55×	`+-commutative_binary64_1372`
44×	`sqr-pow_binary64_1414`
43×	`associate-+l+_binary64_1375`
41×	`sub-neg_binary64_1435`
38×	`unswap-sqr_binary64_1410`
37×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437` `associate-+r+_binary64_1374`
29×	`distribute-rgt-out_binary64_1395`
28×	`pow-plus_binary64_1505`
23×	`exp-sum_binary64_1488`
22×	`pow-sqr_binary64_1415`
19×	`log-pow_binary64_1531` `exp-sqrt_binary64_1495` `*-rgt-identity_binary64_1432` `distribute-lft-neg-out_binary64_1401` `distribute-lft-out_binary64_1393` `associate-+l-_binary64_1377`
17×	`div-exp_binary64_1493`
16×	`unpow3_binary64_1508` `prod-exp_binary64_1491`
15×	`/-rgt-identity_binary64_1433` `associate-+r-_binary64_1376`
14×	`exp-diff_binary64_1490`
12×	`cube-mult_binary64_1472` `distribute-neg-in_binary64_1403`
11×	`log-rec_binary64_1530` `swap-sqr_binary64_1409` `distribute-rgt-neg-out_binary64_1402`
9×	`exp-lft-sqr_binary64_1497` `*-lft-identity_binary64_1431` `associate--r+_binary64_1378`
8×	`associate--l+_binary64_1379`
7×	`difference-of-sqr-1_binary64_1412`
6×	`pow-base-1_binary64_1502` `cube-unmult_binary64_1479` `distribute-rgt1-in_binary64_1398`
5×	`unsub-neg_binary64_1436`
4×	`rec-exp_binary64_1492` `difference-of-squares_binary64_1411` `distribute-rgt-out--_binary64_1396` `associate--r-_binary64_1381`
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` `rem-log-exp_binary64_1483` `rem-sqrt-square_binary64_1455` `+-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` `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-cbrt_binary64_1496` `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-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` `mul-1-neg_binary64_1434` `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_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `difference-of-sqr--1_binary64_1413` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-lft-out--_binary64_1394` `associate--l-_binary64_1380`

Counts

101 → 176

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	2210
1	353	2059
2	1251	2052
3	4371	2052

prune272.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	174	2	176
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	174	3	177

Error

0.2b

Counts

177 → 3

Compiler

Compiled 4533 to 2895 computations (36.1% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 v v) 4)
0.2b	(acos.f64 (-.f64 (.f64 (.f64 v v) 4) 1))

rewrite33.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

7×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
4×	`add-sqr-sqrt_binary64_1464`
3×	`add-cube-cbrt_binary64_1477` `-un-lft-identity_binary64_1442` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-r*_binary64_1382`
2×	`add-log-exp_binary64_1481`
1×	`acos-asin_binary64_1623` `unswap-sqr_binary64_1410` `associate-l_binary64_1383` `*-commutative_binary64_1373`

Counts

2 → 27

Calls

2 calls:

6.0ms	(.f64 (.f64 v v) 4)
1.0ms	(acos.f64 (-.f64 (.f64 (.f64 v v) 4) 1))

Compiler

Compiled 377 to 258 computations (31.6% saved)

series63.0ms (0.5%)

Error

0.2b

Counts

2 → 6

Calls

2 calls:

40.0ms	(.f64 (.f64 v v) 4)
19.0ms	(acos.f64 (-.f64 (.f64 (.f64 v v) 4) 1))

Compiler

Compiled 144 to 139 computations (3.5% saved)

simplify210.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

430×	`associate-*r/_binary64_1384`
408×	`associate-*l/_binary64_1385`
264×	`sqr-pow_binary64_1414`
260×	`associate-r_binary64_1382`
179×	`distribute-rgt-in_binary64_1392`
176×	`sub-neg_binary64_1435`
168×	`exp-prod_binary64_1494`
160×	`*-commutative_binary64_1373`
151×	`log-prod_binary64_1528`
149×	`unswap-sqr_binary64_1410`
142×	`cube-prod_binary64_1470`
136×	`pow-sqr_binary64_1415`
113×	`distribute-lft-in_binary64_1391`
111×	`div-sub_binary64_1447`
110×	`log-div_binary64_1529`
106×	`cube-div_binary64_1471`
104×	`times-frac_binary64_1448`
90×	`*-rgt-identity_binary64_1432`
88×	`*-lft-identity_binary64_1431`
82×	`associate-l_binary64_1383`
67×	`exp-sqrt_binary64_1495`
65×	`associate-+l+_binary64_1375`
60×	`unpow3_binary64_1508`
55×	`cube-mult_binary64_1472` `neg-mul-1_binary64_1438`
54×	`associate-/r*_binary64_1386`
51×	`associate-/l*_binary64_1387`
50×	`neg-sub0_binary64_1437`
42×	`distribute-rgt-neg-in_binary64_1400`
41×	`associate-/r/_binary64_1388`
39×	`pow-plus_binary64_1505`
38×	`exp-sum_binary64_1488`
37×	`associate-+l-_binary64_1377`
33×	`distribute-neg-frac_binary64_1406`
32×	`/-rgt-identity_binary64_1433` `associate-+r-_binary64_1376`
29×	`associate-+r+_binary64_1374`
27×	`mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `distribute-lft-neg-in_binary64_1399` `associate--r+_binary64_1378`
26×	`cancel-sign-sub-inv_binary64_1408`
25×	`distribute-rgt-out_binary64_1395`
23×	`swap-sqr_binary64_1409`
22×	`log-pow_binary64_1531` `exp-lft-sqr_binary64_1497`
21×	`unsub-neg_binary64_1436`
16×	`associate--r-_binary64_1381`
15×	`associate--l-_binary64_1380` `+-commutative_binary64_1372`
14×	`associate--l+_binary64_1379`
13×	`exp-diff_binary64_1490`
12×	`associate-/l/_binary64_1389`
11×	`distribute-neg-in_binary64_1403`
9×	`cube-unmult_binary64_1479` `rem-square-sqrt_binary64_1454` `distribute-rgt1-in_binary64_1398`
7×	`distribute-lft-neg-out_binary64_1401`
6×	`rem-sqrt-square_binary64_1455`
5×	`log-rec_binary64_1530` `+-rgt-identity_binary64_1427` `distribute-rgt-out--_binary64_1396` `count-2_binary64_1390`
4×	`prod-exp_binary64_1491` `distribute-lft-out_binary64_1393`
3×	`exp-to-pow_binary64_1504` `sub0-neg_binary64_1429` `+-lft-identity_binary64_1426`
2×	`pow-base-1_binary64_1502` `remove-double-neg_binary64_1430` `div0_binary64_1423` `distribute-frac-neg_binary64_1405`
1×	`unpow2_binary64_1507` `unpow1_binary64_1500` `div-exp_binary64_1493` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `sqr-neg_binary64_1456` `--rgt-identity_binary64_1428` `*-inverses_binary64_1422` `rgt-mult-inverse_binary64_1419` `cancel-sign-sub_binary64_1407` `distribute-rgt-neg-out_binary64_1402` `distribute-lft1-in_binary64_1397` `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` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-cbrt_binary64_1496` `rec-exp_binary64_1492` `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` `mul-1-neg_binary64_1434` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `remove-double-div_binary64_1418` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411` `distribute-neg-out_binary64_1404`

Counts

33 → 58

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	429
1	101	359
2	333	359
3	632	359
4	2316	359
5	3794	359

prune59.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	58	3	61

Error

0.2b

Counts

61 → 3

Compiler

Compiled 934 to 635 computations (32% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 (cbrt.f64 (acos.f64 (-.f64 (.f64 (.f64 v v) 4) 1))) (cbrt.f64 (acos.f64 (-.f64 (.f64 (*.f64 v v) 4) 1))))
1.0b	(cbrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
1.0b	(cbrt.f64 (acos.f64 (-.f64 (.f64 (.f64 v v) 4) 1)))
1.0b	(cbrt.f64 (acos.f64 (-.f64 (.f64 (.f64 v v) 4) 1)))

rewrite176.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

25×	`cbrt-prod_binary64_1473`
23×	`add-sqr-sqrt_binary64_1464`
15×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
11×	`pow1_binary64_1503`
9×	`pow1/3_binary64_1524`
6×	`add-exp-log_binary64_1480` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `associate-r_binary64_1382`
4×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `unswap-sqr_binary64_1410`
2×	`pow-prod-down_binary64_1513` `pow-prod-up_binary64_1512` `pow-sqr_binary64_1415`
1×	`pow2_binary64_1523` `pow-plus_binary64_1505` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373`

Counts

4 → 73

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (acos.f64 (-.f64 (.f64 (.f64 v v) 4) 1))) (cbrt.f64 (acos.f64 (-.f64 (.f64 (*.f64 v v) 4) 1))))
1.0ms	(cbrt.f64 (acos.f64 (-.f64 (.f64 (.f64 v v) 4) 1)))
1.0ms	(cbrt.f64 (acos.f64 (-.f64 (.f64 (.f64 v v) 4) 1)))
1.0ms	(cbrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))

Compiler

Compiled 2893 to 2058 computations (28.9% saved)

series869.0ms (6.3%)

Error

0.2b

Counts

4 → 12

Calls

4 calls:

252.0ms	(.f64 (cbrt.f64 (acos.f64 (-.f64 (.f64 (.f64 v v) 4) 1))) (cbrt.f64 (acos.f64 (-.f64 (.f64 (*.f64 v v) 4) 1))))
212.0ms	(cbrt.f64 (acos.f64 (-.f64 (.f64 (.f64 v v) 4) 1)))
192.0ms	(cbrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
192.0ms	(cbrt.f64 (acos.f64 (-.f64 (.f64 (.f64 v v) 4) 1)))

Compiler

Compiled 1008 to 833 computations (17.4% saved)

simplify1.4s (10.4%)

Algorithm

1×	egg-herbie

Rules

545×	`log-prod_binary64_1528`
427×	`log-div_binary64_1529`
419×	`associate-/l*_binary64_1387`
391×	`exp-prod_binary64_1494`
301×	`associate-l_binary64_1383`
297×	`associate-/r*_binary64_1386`
221×	`associate-/r/_binary64_1388`
206×	`*-commutative_binary64_1373`
189×	`associate-r_binary64_1382`
131×	`distribute-rgt-in_binary64_1392`
113×	`unswap-sqr_binary64_1410`
112×	`cube-prod_binary64_1470`
96×	`distribute-lft-in_binary64_1391`
86×	`swap-sqr_binary64_1409`
79×	`associate-/l/_binary64_1389`
71×	`sqr-pow_binary64_1414`
55×	`log-pow_binary64_1531` `distribute-rgt-out_binary64_1395`
52×	`times-frac_binary64_1448`
48×	`pow-plus_binary64_1505`
46×	`exp-sqrt_binary64_1495`
42×	`associate-+l+_binary64_1375`
41×	`associate-+r+_binary64_1374`
39×	`unpow3_binary64_1508` `associate-*l/_binary64_1385`
34×	`exp-lft-sqr_binary64_1497`
33×	`pow-sqr_binary64_1415`
31×	`distribute-lft-out_binary64_1393`
29×	`cube-div_binary64_1471`
25×	`cancel-sign-sub-inv_binary64_1408`
24×	`log-rec_binary64_1530` `*-rgt-identity_binary64_1432`
22×	`-lft-identity_binary64_1431` `associate-r/_binary64_1384`
21×	`distribute-lft-neg-in_binary64_1399`
19×	`distribute-rgt-neg-in_binary64_1400`
18×	`rem-sqrt-square_binary64_1455`
14×	`cube-unmult_binary64_1479`
13×	`associate-+l-_binary64_1377`
12×	`distribute-neg-frac_binary64_1406`
10×	`exp-to-pow_binary64_1504`
8×	`distribute-rgt1-in_binary64_1398` `count-2_binary64_1390`
7×	`associate-+r-_binary64_1376` `+-commutative_binary64_1372`
6×	`sub-neg_binary64_1435`
4×	`pow-base-1_binary64_1502` `div-exp_binary64_1493` `prod-exp_binary64_1491` `neg-mul-1_binary64_1438` `distribute-rgt-out--_binary64_1396` `associate--l-_binary64_1380` `associate--l+_binary64_1379`
3×	`unpow2_binary64_1507` `rem-3cbrt-lft_binary64_1467` `neg-sub0_binary64_1437`
2×	`unpow1/3_binary64_1509` `unpow1_binary64_1500` `rec-exp_binary64_1492` `exp-sum_binary64_1488` `cube-mult_binary64_1472` `rem-cbrt-cube_binary64_1466` `/-rgt-identity_binary64_1433` `distribute-rgt-neg-out_binary64_1402` `distribute-lft1-in_binary64_1397`
1×	`exp-diff_binary64_1490` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-log-exp_binary64_1483` `rem-3cbrt-rft_binary64_1468` `rem-square-sqrt_binary64_1454` `div-sub_binary64_1447` `unsub-neg_binary64_1436` `sub0-neg_binary64_1429` `+-rgt-identity_binary64_1427` `mul0-lft_binary64_1424` `*-inverses_binary64_1422` `distribute-neg-out_binary64_1404` `distribute-neg-in_binary64_1403`
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` `unpow1/2_binary64_1506` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-cbrt_binary64_1496` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-exp-log_binary64_1482` `cube-neg_binary64_1469` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `mul-1-neg_binary64_1434` `remove-double-neg_binary64_1430` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `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` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-lft-neg-out_binary64_1401` `distribute-lft-out--_binary64_1394` `associate--r-_binary64_1381` `associate--r+_binary64_1378`

Counts

85 → 300

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	2119
1	97	1859
2	311	1799
3	1144	1784
4	3682	1784

prune1.1s (7.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	299	1	300
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	301	2	303

Error

0.2b

Counts

303 → 2

Compiler

Compiled 12502 to 8954 computations (28.4% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
1.0b	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
1.0b	(cbrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
1.0b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 (.f64 v v) 4) 1)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 (.f64 v v) 4) 1))))) (.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (*.f64 v v)) 1))))))

rewrite294.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

34×	`pow1_binary64_1503`
19×	`pow-prod-down_binary64_1513`
16×	`add-exp-log_binary64_1480`
13×	`pow1/3_binary64_1524`
9×	`add-sqr-sqrt_binary64_1464`
8×	`prod-exp_binary64_1491` `add-cbrt-cube_binary64_1478` `cbrt-unprod_binary64_1475`
7×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`pow-prod-up_binary64_1512` `sqrt-prod_binary64_1458`
4×	`pow-plus_binary64_1505` `pow-sqr_binary64_1415` `add-log-exp_binary64_1481`
3×	`cbrt-prod_binary64_1473`
2×	`pow2_binary64_1523` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455`
1×	`unswap-sqr_binary64_1410` `associate-l_binary64_1383` `associate-r_binary64_1382` `*-commutative_binary64_1373`

Counts

4 → 69

Calls

4 calls:

16.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 (.f64 v v) 4) 1)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 (.f64 v v) 4) 1))))) (.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (*.f64 v v)) 1))))))
1.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
1.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
1.0ms	(cbrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))

Compiler

Compiled 4249 to 3084 computations (27.4% saved)

series619.0ms (4.5%)

Error

0.2b

Counts

4 → 12

Calls

4 calls:

276.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 (.f64 v v) 4) 1)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 (.f64 v v) 4) 1))))) (.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 (.f64 4 (*.f64 v v)) 1))))))
201.0ms	(cbrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
60.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))
55.0ms	(sqrt.f64 (acos.f64 (-.f64 (.f64 4 (.f64 v v)) 1)))

Compiler

Compiled 1638 to 1301 computations (20.6% saved)

simplify2.7s (19.6%)

Algorithm

1×	egg-herbie

Rules

606×	`times-frac_binary64_1448`
549×	`distribute-rgt-out_binary64_1395`
471×	`log-prod_binary64_1528`
434×	`unswap-sqr_binary64_1410`
344×	`distribute-rgt-in_binary64_1392`
330×	`distribute-lft-in_binary64_1391`
236×	`sqr-pow_binary64_1414`
193×	`associate-/l*_binary64_1387`
184×	`*-commutative_binary64_1373`
140×	`associate-*l/_binary64_1385`
131×	`exp-prod_binary64_1494` `pow-sqr_binary64_1415` `associate-l_binary64_1383`
126×	`associate-+l+_binary64_1375`
112×	`cube-prod_binary64_1470`
107×	`associate-/l/_binary64_1389`
106×	`associate-/r/_binary64_1388`
104×	`associate-+r+_binary64_1374`
88×	`associate-*r/_binary64_1384`
84×	`log-pow_binary64_1531`
81×	`swap-sqr_binary64_1409` `associate-/r*_binary64_1386`
71×	`associate-r_binary64_1382`
65×	`distribute-rgt1-in_binary64_1398`
60×	`cube-div_binary64_1471`
54×	`pow-plus_binary64_1505`
53×	`log-div_binary64_1529`
52×	`distribute-rgt-neg-in_binary64_1400`
51×	`distribute-lft-out_binary64_1393`
36×	`distribute-lft-neg-in_binary64_1399`
34×	`cancel-sign-sub-inv_binary64_1408`
27×	`rem-sqrt-square_binary64_1455`
26×	`distribute-lft1-in_binary64_1397`
23×	`cube-unmult_binary64_1479`
22×	`div-sub_binary64_1447` `sub-neg_binary64_1435`
19×	`distribute-neg-frac_binary64_1406` `count-2_binary64_1390`
17×	`neg-mul-1_binary64_1438` `/-rgt-identity_binary64_1433` `*-lft-identity_binary64_1431` `distribute-lft-neg-out_binary64_1401`
16×	`exp-sqrt_binary64_1495` `neg-sub0_binary64_1437`
14×	`unpow3_binary64_1508` `distribute-neg-in_binary64_1403`
13×	`+-commutative_binary64_1372`
11×	`*-rgt-identity_binary64_1432`
10×	`cube-mult_binary64_1472`
9×	`div-exp_binary64_1493` `prod-exp_binary64_1491`
7×	`exp-lft-sqr_binary64_1497`
6×	`unsub-neg_binary64_1436`
4×	`distribute-rgt-out--_binary64_1396`
3×	`rec-exp_binary64_1492` `rem-cbrt-cube_binary64_1466` `remove-double-div_binary64_1418` `distribute-frac-neg_binary64_1405` `associate--r+_binary64_1378`
2×	`unpow1/3_binary64_1509` `unpow2_binary64_1507` `unpow1_binary64_1500` `rem-square-sqrt_binary64_1454` `sub0-neg_binary64_1429` `--rgt-identity_binary64_1428` `+-rgt-identity_binary64_1427` `mul0-lft_binary64_1424` `distribute-rgt-neg-out_binary64_1402` `associate-+l-_binary64_1377` `associate-+r-_binary64_1376`
1×	`1-exp_binary64_1486` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `remove-double-neg_binary64_1430` `mul0-rgt_binary64_1425` `*-inverses_binary64_1422` `rgt-mult-inverse_binary64_1419` `cancel-sign-sub_binary64_1407`
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` `unpow1/2_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-cbrt_binary64_1496` `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-neg_binary64_1469` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `mul-1-neg_binary64_1434` `+-lft-identity_binary64_1426` `div0_binary64_1423` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411` `distribute-neg-out_binary64_1404` `distribute-lft-out--_binary64_1394` `associate--r-_binary64_1381` `associate--l-_binary64_1380` `associate--l+_binary64_1379`

Counts

81 → 204

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	76	1942
1	124	1478
2	240	1306
3	447	1306
4	1438	1306
5	3417	1300

prune827.0ms (6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	204	2	206

Error

0.2b

Counts

206 → 2

Compiler

Compiled 10706 to 7768 computations (27.4% saved)

regimes265.0ms (1.9%)

Accuracy

Total 0.0b remaining (4.5%)

Threshold costs 0.0b (4.5%)

Compiler

Compiled 3505 to 2660 computations (24.1% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
8×	`*-commutative_binary64_1373`
7×	`sub-neg_binary64_1435` `distribute-rgt-neg-in_binary64_1400` `+-commutative_binary64_1372`
6×	`distribute-lft-neg-in_binary64_1399`
5×	`distribute-rgt-neg-out_binary64_1402` `distribute-lft-neg-out_binary64_1401`
4×	`-rgt-identity_binary64_1432` `-lft-identity_binary64_1431` `cancel-sign-sub-inv_binary64_1408`
3×	`unsub-neg_binary64_1436`
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	12	25
1	22	25
2	34	25
3	45	25
4	64	25
5	69	25
6	72	25
7	73	25

Proof

(acos f64 (log f64 (exp f64 (/ f64 (- f64 1 (* f64 5 (* f64 h0 h0))) (=> (- f64 (* f64 h0 h0) 1))))))
sub-neg_binary64_1435 =>
(acos f64 (log f64 (exp f64 (/ f64 (- f64 1 (* f64 5 (* f64 h0 h0))) (+ f64 (* f64 h0 h0) (=> (neg f64 1)))))))
neg-mul-1_binary64_1438 =>
(acos f64 (log f64 (exp f64 (/ f64 (- f64 1 (* f64 5 (* f64 h0 h0))) (+ f64 (* f64 h0 h0) (=> (* f64 -1 1)))))))
*-rgt-identity_binary64_1432 =>
(acos f64 (log f64 (exp f64 (/ f64 (- f64 1 (* f64 5 (* f64 h0 h0))) (+ f64 (* f64 h0 h0) -1)))))

end0.0ms (0%)

sample2.8s (20.2%)

Algorithm

1×

intervals

Results

1.2s	4050×	body	2048	valid
400.0ms	1950×	body	1024	valid
145.0ms	997×	body	512	valid
51.0ms	509×	body	256	valid
28.0ms	493×	body	128	valid
1.0ms	1×	body	4096	valid
0.0ms	10×	body	128	nan

Compiler

Compiled 869 to 662 computations (23.8% saved)

Details

analyze803.0ms (5.8%)

sample70.0ms (0.5%)

simplify520.0ms (3.7%)

prune4.0ms (0%)

localize8.0ms (0.1%)

rewrite132.0ms (0.9%)

series202.0ms (1.5%)

simplify367.0ms (2.6%)

prune272.0ms (2%)

localize5.0ms (0%)

rewrite33.0ms (0.2%)

series63.0ms (0.5%)

simplify210.0ms (1.5%)

prune59.0ms (0.4%)

localize14.0ms (0.1%)

rewrite176.0ms (1.3%)

series869.0ms (6.3%)

simplify1.4s (10.4%)

prune1.1s (7.7%)

localize22.0ms (0.2%)

rewrite294.0ms (2.1%)

series619.0ms (4.5%)

simplify2.7s (19.6%)

prune827.0ms (6%)

regimes265.0ms (1.9%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample2.8s (20.2%)

Profiling