Details

analyze472.0ms (1.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	68.6%	6.4%	7
31.2%	62.4%	6.4%	8
36.7%	54.6%	8.7%	9
38.2%	48.4%	13.4%	10
42.7%	42.3%	15%	11
47.8%	34.1%	18.1%	12
49.1%	30.3%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample44.0ms (0.1%)

Algorithm

1×

intervals

Results

9.0ms	172×	body	128	valid
7.0ms	26×	body	2048	valid
6.0ms	31×	body	1024	valid
5.0ms	15×	body	4096	valid
1.0ms	24×	body	128	nan
1.0ms	6×	body	512	valid
1.0ms	14×	body	128	invalid
1.0ms	6×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify10.3s (34.4%)

Algorithm

1×	egg-herbie

Rules

890×	`exp-prod_binary64_1494`
281×	`*-commutative_binary64_1373`
229×	`sub-neg_binary64_1435`
224×	`neg-mul-1_binary64_1438`
216×	`distribute-rgt-in_binary64_1392`
201×	`neg-sub0_binary64_1437`
175×	`distribute-rgt-neg-in_binary64_1400`
151×	`distribute-lft-neg-in_binary64_1399`
140×	`distribute-rgt1-in_binary64_1398`
137×	`exp-sum_binary64_1488`
128×	`associate-/l/_binary64_1389`
123×	`associate-r_binary64_1382`
117×	`unsub-neg_binary64_1436` `associate-/l*_binary64_1387`
116×	`div-sub_binary64_1447`
102×	`pow-plus_binary64_1505`
95×	`cancel-sign-sub-inv_binary64_1408`
87×	`distribute-neg-frac_binary64_1406`
73×	`distribute-lft-in_binary64_1391`
72×	`times-frac_binary64_1448`
69×	`distribute-rgt-out_binary64_1395`
61×	`+-commutative_binary64_1372`
50×	`distribute-rgt-out--_binary64_1396`
41×	`associate-l_binary64_1383`
40×	`exp-diff_binary64_1490` `associate-/r/_binary64_1388`
39×	`associate--r+_binary64_1378` `associate-+l+_binary64_1375`
33×	`associate-+l-_binary64_1377`
32×	`associate-/r*_binary64_1386`
30×	`associate-+r+_binary64_1374`
29×	`sub0-neg_binary64_1429`
25×	`remove-double-neg_binary64_1430` `associate--l+_binary64_1379`
23×	`distribute-lft-neg-out_binary64_1401`
22×	`div0_binary64_1423`
19×	`mul0-lft_binary64_1424`
18×	`exp-lft-sqr_binary64_1497`
15×	`-rgt-identity_binary64_1432` `-lft-identity_binary64_1431` `mul0-rgt_binary64_1425` `swap-sqr_binary64_1409`
13×	`distribute-neg-in_binary64_1403` `distribute-rgt-neg-out_binary64_1402` `associate--l-_binary64_1380` `associate-+r-_binary64_1376`
11×	`+-lft-identity_binary64_1426` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `associate-*r/_binary64_1384`
10×	`exp-lft-cube_binary64_1498` `exp-cbrt_binary64_1496` `--rgt-identity_binary64_1428`
8×	`count-2_binary64_1390` `associate-*l/_binary64_1385`
7×	`cube-unmult_binary64_1479` `+-inverses_binary64_1421` `associate--r-_binary64_1381`
6×	`cube-prod_binary64_1470` `+-rgt-identity_binary64_1427` `distribute-lft1-in_binary64_1397`
5×	`exp-neg_binary64_1489` `distribute-lft-out--_binary64_1394` `distribute-lft-out_binary64_1393`
4×	`unswap-sqr_binary64_1410`
2×	`sqr-neg_binary64_1456`
1×	`1-exp_binary64_1486` `cube-neg_binary64_1469` `*-inverses_binary64_1422`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `log-pow_binary64_1531` `log-rec_binary64_1530` `log-div_binary64_1529` `log-prod_binary64_1528` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `unpow3_binary64_1508` `unpow2_binary64_1507` `unpow1/2_binary64_1506` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow1_binary64_1500` `unpow-1_binary64_1499` `exp-sqrt_binary64_1495` `div-exp_binary64_1493` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `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` `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` `/-rgt-identity_binary64_1433` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `pow-sqr_binary64_1415` `sqr-pow_binary64_1414` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411` `cancel-sign-sub_binary64_1407`

Counts

1 → 4

Iterations

Useful iterations: 7 (1.0ms)

Iter	Nodes	Cost
0	13	26
1	29	24
2	61	24
3	127	24
4	181	24
5	351	24
6	1337	24
7	2876	1
8	18	1

prune13.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	3	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Error

34.0b

Counts

5 → 3

Compiler

Compiled 83 to 62 computations (25.3% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite166.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

33.9b

Rules

21×	`add-sqr-sqrt_binary64_1464`
14×	`*-un-lft-identity_binary64_1442`
9×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
8×	`add-log-exp_binary64_1481` `add-cube-cbrt_binary64_1477`
6×	`sqrt-prod_binary64_1458` `difference-of-squares_binary64_1411` `times-frac_binary64_1448` `associate-/l*_binary64_1387`
5×	`pow1_binary64_1503`
4×	`flip3--_binary64_1446` `flip--_binary64_1417` `cancel-sign-sub-inv_binary64_1408`
3×	`distribute-lft-out--_binary64_1394`
2×	`sqrt-div_binary64_1459` `diff-log_binary64_1534` `sub-neg_binary64_1435` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `associate-/l/_binary64_1389`
1×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/r*_binary64_1386`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series1.1s (3.9%)

Error

6.0b

Counts

4 → 71

Calls

4 calls:

331.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
257.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
256.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
225.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 3273 to 2496 computations (23.7% saved)

simplify338.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

532×	`associate-/r*_binary64_1386`
506×	`associate-/l*_binary64_1387`
210×	`cancel-sign-sub-inv_binary64_1408` `distribute-rgt-in_binary64_1392`
195×	`distribute-lft-in_binary64_1391`
191×	`distribute-rgt-neg-in_binary64_1400`
162×	`distribute-lft-neg-in_binary64_1399`
120×	`sub-neg_binary64_1435`
117×	`associate-r_binary64_1382`
109×	`associate-/l/_binary64_1389` `associate-l_binary64_1383`
96×	`associate-/r/_binary64_1388`
89×	`*-commutative_binary64_1373`
82×	`distribute-lft-neg-out_binary64_1401`
78×	`times-frac_binary64_1448`
77×	`neg-sub0_binary64_1437`
75×	`neg-mul-1_binary64_1438`
74×	`distribute-neg-frac_binary64_1406`
58×	`sqr-pow_binary64_1414`
52×	`div-sub_binary64_1447` `unswap-sqr_binary64_1410`
50×	`+-commutative_binary64_1372`
45×	`exp-prod_binary64_1494`
37×	`distribute-rgt-neg-out_binary64_1402`
34×	`associate-*r/_binary64_1384`
32×	`associate-*l/_binary64_1385`
31×	`distribute-rgt-out_binary64_1395`
28×	`pow-sqr_binary64_1415`
21×	`associate--l+_binary64_1379`
19×	`cube-prod_binary64_1470`
17×	`distribute-lft-out_binary64_1393`
16×	`pow-plus_binary64_1505`
15×	`unsub-neg_binary64_1436` `distribute-neg-in_binary64_1403` `associate--r+_binary64_1378`
14×	`swap-sqr_binary64_1409`
11×	`unpow3_binary64_1508` `associate-+r-_binary64_1376` `associate-+l+_binary64_1375`
10×	`+-rgt-identity_binary64_1427` `difference-of-squares_binary64_1411`
9×	`cube-mult_binary64_1472`
7×	`exp-sum_binary64_1488` `cube-unmult_binary64_1479`
5×	`exp-diff_binary64_1490` `associate-+r+_binary64_1374`
4×	`log-div_binary64_1529` `rem-sqrt-square_binary64_1455`
3×	`unpow2_binary64_1507` `unpow1_binary64_1500` `exp-lft-cube_binary64_1498` `exp-cbrt_binary64_1496` `rem-square-sqrt_binary64_1454` `mul-1-neg_binary64_1434` `distribute-lft-out--_binary64_1394` `associate-+l-_binary64_1377`
2×	`log-prod_binary64_1528` `div-exp_binary64_1493` `cube-div_binary64_1471` `-rgt-identity_binary64_1432` `-inverses_binary64_1422`
1×	`1-exp_binary64_1486` `rem-3cbrt-lft_binary64_1467` `*-lft-identity_binary64_1431` `remove-double-neg_binary64_1430` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `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` `log-pow_binary64_1531` `log-rec_binary64_1530` `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-sqr_binary64_1497` `exp-sqrt_binary64_1495` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `/-rgt-identity_binary64_1433` `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` `difference-of-sqr-1_binary64_1412` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `distribute-rgt-out--_binary64_1396`

Counts

145 → 603

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	3292
1	584	3081
2	1896	3074

prune1.5s (5.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	590	13	603
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	591	15	606

Error

6.0b

Counts

606 → 15

Compiler

Compiled 17808 to 10047 computations (43.6% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (/.f64 3 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (.f64 c 3)))) b)) a)
0.4b	(-.f64 (.f64 b b) (.f64 a (*.f64 c 3)))
0.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 3)))) b)
23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 3))))

rewrite193.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

6.0b

Rules

39×	`add-sqr-sqrt_binary64_1464`
25×	`*-un-lft-identity_binary64_1442`
24×	`associate-l_binary64_1383`
19×	`times-frac_binary64_1448`
17×	`add-cube-cbrt_binary64_1477`
9×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
8×	`add-log-exp_binary64_1481` `difference-of-squares_binary64_1411`
7×	`pow1_binary64_1503` `sqrt-prod_binary64_1458`
4×	`flip3--_binary64_1446` `flip--_binary64_1417` `cancel-sign-sub-inv_binary64_1408` `distribute-lft-out--_binary64_1394`
3×	`associate-r_binary64_1382`
2×	`sqrt-div_binary64_1459` `diff-log_binary64_1534` `sub-neg_binary64_1435` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `associate-/r/_binary64_1388`
1×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `pow-prod-down_binary64_1513` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `associate-l/_binary64_1385` `div-inv_binary64_1439` `-commutative_binary64_1373`

Counts

4 → 87

Calls

4 calls:

15.0ms	(.f64 (/.f64 3 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (.f64 c 3)))) b)) a)
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 3)))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 3))))
4.0ms	(-.f64 (.f64 b b) (.f64 a (*.f64 c 3)))

Compiler

Compiled 2745 to 1696 computations (38.2% saved)

series1.3s (4.3%)

Error

6.0b

Counts

4 → 73

Calls

4 calls:

462.0ms	(.f64 (/.f64 3 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (.f64 c 3)))) b)) a)
260.0ms	(-.f64 (.f64 b b) (.f64 a (*.f64 c 3)))
240.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 3)))) b)
235.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 c 3))))

Compiler

Compiled 3807 to 2946 computations (22.6% saved)

simplify369.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

580×	`associate-/l*_binary64_1387`
570×	`associate-/r*_binary64_1386`
330×	`associate-*l/_binary64_1385`
172×	`cancel-sign-sub-inv_binary64_1408`
162×	`distribute-rgt-neg-in_binary64_1400`
138×	`distribute-lft-neg-in_binary64_1399`
130×	`associate-r_binary64_1382`
118×	`associate-l_binary64_1383`
111×	`distribute-rgt-in_binary64_1392`
106×	`associate-/r/_binary64_1388`
103×	`distribute-lft-in_binary64_1391`
102×	`*-commutative_binary64_1373`
91×	`sub-neg_binary64_1435`
72×	`sqr-pow_binary64_1414`
63×	`times-frac_binary64_1448`
61×	`distribute-neg-frac_binary64_1406` `distribute-lft-neg-out_binary64_1401`
58×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
57×	`exp-prod_binary64_1494` `unswap-sqr_binary64_1410`
53×	`associate-*r/_binary64_1384`
49×	`+-commutative_binary64_1372`
36×	`distribute-rgt-out_binary64_1395`
33×	`pow-sqr_binary64_1415`
31×	`div-sub_binary64_1447`
30×	`associate-/l/_binary64_1389`
29×	`cube-prod_binary64_1470`
22×	`distribute-rgt-neg-out_binary64_1402`
21×	`swap-sqr_binary64_1409`
20×	`associate--l+_binary64_1379`
17×	`pow-plus_binary64_1505`
14×	`log-prod_binary64_1528` `distribute-lft-out_binary64_1393` `associate-+l+_binary64_1375`
12×	`unpow3_binary64_1508` `associate-+r-_binary64_1376`
10×	`cube-mult_binary64_1472` `+-rgt-identity_binary64_1427` `difference-of-squares_binary64_1411`
9×	`unsub-neg_binary64_1436`
8×	`*-rgt-identity_binary64_1432` `associate--r+_binary64_1378` `associate-+r+_binary64_1374`
7×	`log-div_binary64_1529` `cube-unmult_binary64_1479` `*-lft-identity_binary64_1431` `distribute-neg-in_binary64_1403`
6×	`exp-sum_binary64_1488`
5×	`exp-lft-cube_binary64_1498`
4×	`unpow2_binary64_1507` `unpow1_binary64_1500` `exp-diff_binary64_1490` `cube-div_binary64_1471` `rem-sqrt-square_binary64_1455` `distribute-frac-neg_binary64_1405` `associate-+l-_binary64_1377`
3×	`rem-square-sqrt_binary64_1454`
2×	`div-exp_binary64_1493`
1×	`exp-sqrt_binary64_1495` `prod-exp_binary64_1491` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-log-exp_binary64_1483` `rem-3cbrt-lft_binary64_1467` `/-rgt-identity_binary64_1433` `*-inverses_binary64_1422` `cancel-sign-sub_binary64_1407` `distribute-neg-out_binary64_1404` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `count-2_binary64_1390` `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` `log-pow_binary64_1531` `log-rec_binary64_1530` `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-sqr_binary64_1497` `exp-cbrt_binary64_1496` `rec-exp_binary64_1492` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-exp-log_binary64_1482` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `mul-1-neg_binary64_1434` `remove-double-neg_binary64_1430` `sub0-neg_binary64_1429` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `div0_binary64_1423` `+-inverses_binary64_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` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394` `associate--r-_binary64_1381`

Counts

160 → 332

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	3672
1	587	3443
2	1849	3437

prune678.0ms (2.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	327	5	332
Fresh	5	9	14
Picked	0	1	1
Done	0	0	0
Total	332	15	347

Error

6.0b

Counts

347 → 15

Compiler

Compiled 9938 to 5833 computations (41.3% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b) (.f64 3 a))
0.4b	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
0.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite136.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

6.0b

Rules

21×	`add-sqr-sqrt_binary64_1464`
14×	`*-un-lft-identity_binary64_1442`
9×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
8×	`add-log-exp_binary64_1481` `add-cube-cbrt_binary64_1477`
6×	`sqrt-prod_binary64_1458` `difference-of-squares_binary64_1411` `times-frac_binary64_1448` `associate-/l*_binary64_1387`
5×	`pow1_binary64_1503`
4×	`flip3--_binary64_1446` `flip--_binary64_1417` `cancel-sign-sub-inv_binary64_1408`
3×	`distribute-lft-out--_binary64_1394`
2×	`sqrt-div_binary64_1459` `diff-log_binary64_1534` `sub-neg_binary64_1435` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `associate-/l/_binary64_1389`
1×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/r*_binary64_1386`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
7.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 2100 to 1088 computations (48.2% saved)

series1.1s (3.7%)

Error

6.0b

Counts

4 → 71

Calls

4 calls:

344.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))) b) (.f64 3 a))
237.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
237.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
229.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 3273 to 2496 computations (23.7% saved)

simplify336.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

520×	`associate-/l*_binary64_1387`
517×	`associate-/r*_binary64_1386`
212×	`distribute-rgt-in_binary64_1392`
198×	`distribute-lft-in_binary64_1391`
191×	`cancel-sign-sub-inv_binary64_1408`
167×	`distribute-rgt-neg-in_binary64_1400`
137×	`distribute-lft-neg-in_binary64_1399`
118×	`sub-neg_binary64_1435`
110×	`associate-r_binary64_1382`
107×	`associate-/l/_binary64_1389`
103×	`associate-l_binary64_1383`
97×	`associate-/r/_binary64_1388`
89×	`*-commutative_binary64_1373`
79×	`distribute-lft-neg-out_binary64_1401`
77×	`times-frac_binary64_1448`
76×	`neg-sub0_binary64_1437`
74×	`neg-mul-1_binary64_1438` `distribute-neg-frac_binary64_1406`
55×	`sqr-pow_binary64_1414`
53×	`unswap-sqr_binary64_1410`
52×	`div-sub_binary64_1447`
51×	`+-commutative_binary64_1372`
40×	`exp-prod_binary64_1494`
37×	`distribute-rgt-neg-out_binary64_1402`
33×	`distribute-rgt-out_binary64_1395` `associate-l/_binary64_1385` `associate-r/_binary64_1384`
28×	`pow-sqr_binary64_1415`
21×	`associate--l+_binary64_1379`
17×	`cube-prod_binary64_1470`
15×	`unsub-neg_binary64_1436` `distribute-neg-in_binary64_1403` `associate--r+_binary64_1378`
14×	`pow-plus_binary64_1505`
13×	`swap-sqr_binary64_1409`
11×	`distribute-lft-out_binary64_1393` `associate-+r-_binary64_1376` `associate-+l+_binary64_1375`
10×	`unpow3_binary64_1508` `+-rgt-identity_binary64_1427` `difference-of-squares_binary64_1411`
8×	`cube-mult_binary64_1472`
7×	`exp-sum_binary64_1488` `cube-unmult_binary64_1479`
5×	`exp-diff_binary64_1490` `associate-+r+_binary64_1374`
4×	`log-div_binary64_1529` `exp-lft-cube_binary64_1498` `rem-sqrt-square_binary64_1455`
3×	`unpow2_binary64_1507` `unpow1_binary64_1500` `exp-cbrt_binary64_1496` `rem-square-sqrt_binary64_1454` `mul-1-neg_binary64_1434` `distribute-lft-out--_binary64_1394` `associate-+l-_binary64_1377`
2×	`log-prod_binary64_1528` `div-exp_binary64_1493` `cube-div_binary64_1471` `-rgt-identity_binary64_1432` `-inverses_binary64_1422`
1×	`1-exp_binary64_1486` `rem-3cbrt-lft_binary64_1467` `*-lft-identity_binary64_1431` `remove-double-neg_binary64_1430` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `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` `log-pow_binary64_1531` `log-rec_binary64_1530` `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-sqr_binary64_1497` `exp-sqrt_binary64_1495` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `exp-neg_binary64_1489` `e-exp-1_binary64_1487` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `/-rgt-identity_binary64_1433` `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` `difference-of-sqr-1_binary64_1412` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `distribute-rgt-out--_binary64_1396`

Counts

145 → 450

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	3292
1	580	3081
2	1863	3074

prune894.0ms (3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	449	1	450
Fresh	2	11	13
Picked	0	1	1
Done	0	1	1
Total	451	14	465

Error

6.0b

Counts

465 → 14

Compiler

Compiled 12694 to 7110 computations (44% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (/.f64 1 3) a)
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite218.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

6.0b

Rules

75×	`times-frac_binary64_1448`
53×	`add-sqr-sqrt_binary64_1464`
50×	`*-un-lft-identity_binary64_1442`
48×	`add-cube-cbrt_binary64_1477`
13×	`add-exp-log_binary64_1480` `associate-/l*_binary64_1387`
9×	`add-cbrt-cube_binary64_1478`
8×	`add-log-exp_binary64_1481`
6×	`div-exp_binary64_1493`
5×	`pow1_binary64_1503` `div-inv_binary64_1439`
4×	`sqrt-prod_binary64_1458` `cancel-sign-sub-inv_binary64_1408`
3×	`flip3--_binary64_1446` `flip--_binary64_1417` `cbrt-undiv_binary64_1476` `associate-/r*_binary64_1386`
2×	`sqrt-div_binary64_1459` `diff-log_binary64_1534` `sub-neg_binary64_1435` `difference-of-squares_binary64_1411`
1×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `distribute-lft-out--_binary64_1394` `1-exp_binary64_1486` `rec-exp_binary64_1492` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-/l/_binary64_1389`

Counts

4 → 116

Calls

4 calls:

11.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
6.0ms	(/.f64 (/.f64 1 3) a)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 3251 to 2104 computations (35.3% saved)

series793.0ms (2.7%)

Error

6.0b

Counts

4 → 57

Calls

4 calls:

239.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
235.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
232.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
28.0ms	(/.f64 (/.f64 1 3) a)

Compiler

Compiled 2888 to 2255 computations (21.9% saved)

simplify361.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

414×	`associate-/r*_binary64_1386`
334×	`associate-/l*_binary64_1387`
312×	`associate-/l/_binary64_1389`
267×	`*-commutative_binary64_1373`
222×	`associate-*l/_binary64_1385`
214×	`associate-/r/_binary64_1388`
180×	`associate-*r/_binary64_1384`
178×	`div-sub_binary64_1447`
151×	`cancel-sign-sub-inv_binary64_1408`
126×	`distribute-rgt-neg-in_binary64_1400`
117×	`exp-prod_binary64_1494`
112×	`distribute-lft-neg-in_binary64_1399`
93×	`distribute-rgt-in_binary64_1392`
87×	`distribute-lft-in_binary64_1391`
85×	`sub-neg_binary64_1435`
79×	`associate-r_binary64_1382`
73×	`times-frac_binary64_1448` `associate-l_binary64_1383` `+-commutative_binary64_1372`
60×	`sqr-pow_binary64_1414` `unswap-sqr_binary64_1410`
58×	`exp-sum_binary64_1488`
53×	`cube-prod_binary64_1470`
52×	`associate-+l-_binary64_1377`
49×	`distribute-lft-neg-out_binary64_1401`
46×	`neg-mul-1_binary64_1438`
44×	`neg-sub0_binary64_1437`
40×	`distribute-neg-frac_binary64_1406`
36×	`associate-+l+_binary64_1375`
34×	`exp-diff_binary64_1490` `associate-+r-_binary64_1376`
33×	`pow-plus_binary64_1505` `/-rgt-identity_binary64_1433`
32×	`cube-div_binary64_1471` `associate--l-_binary64_1380`
31×	`associate-+r+_binary64_1374`
29×	`log-div_binary64_1529` `pow-sqr_binary64_1415`
26×	`distribute-rgt-out_binary64_1395`
25×	`*-rgt-identity_binary64_1432`
24×	`associate--l+_binary64_1379`
22×	`log-prod_binary64_1528` `distribute-rgt-neg-out_binary64_1402`
19×	`unpow3_binary64_1508` `swap-sqr_binary64_1409`
17×	`unsub-neg_binary64_1436`
15×	`cube-mult_binary64_1472`
12×	`exp-neg_binary64_1489` `cube-unmult_binary64_1479` `associate--r+_binary64_1378`
11×	`exp-sqrt_binary64_1495` `distribute-neg-out_binary64_1404` `distribute-lft-out_binary64_1393`
10×	`+-rgt-identity_binary64_1427` `difference-of-squares_binary64_1411`
9×	`rem-sqrt-square_binary64_1455`
8×	`exp-lft-cube_binary64_1498` `*-lft-identity_binary64_1431`
7×	`exp-lft-sqr_binary64_1497`
6×	`log-rec_binary64_1530`
5×	`log-pow_binary64_1531` `sqr-neg_binary64_1456`
4×	`distribute-neg-in_binary64_1403`
3×	`unpow2_binary64_1507` `unpow1_binary64_1500` `exp-cbrt_binary64_1496` `div-exp_binary64_1493` `prod-exp_binary64_1491` `rem-square-sqrt_binary64_1454`
2×	`sub0-neg_binary64_1429` `cancel-sign-sub_binary64_1407` `count-2_binary64_1390` `associate--r-_binary64_1381`
1×	`exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `rec-exp_binary64_1492` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `rem-log-exp_binary64_1483` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `div0_binary64_1423` `*-inverses_binary64_1422` `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` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `unpow1/2_binary64_1506` `unpow0_binary64_1501` `unpow-1_binary64_1499` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-exp-log_binary64_1482` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `mul-1-neg_binary64_1434` `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-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `distribute-frac-neg_binary64_1405` `distribute-rgt1-in_binary64_1398` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394`

Counts

173 → 630

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	3278
1	622	3144
2	1782	2892
3	4385	2892

prune1.9s (6.2%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	630	0	630
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	630	14	644

Error

6.0b

Counts

644 → 14

Compiler

Compiled 18620 to 11683 computations (37.3% saved)

regimes3.9s (13%)

Accuracy

Total 5.4b remaining (50.4%)

Threshold costs 0b (0%)

Compiler

Compiled 14684 to 11629 computations (20.8% saved)

bsearch70.0ms (0.2%)

Steps

Iters	Range		Point
7	2.177402827770689e-06	0.00011906500620258188	2.2206845534742922e-06
7	-5.073442194263784e+32	-2.108108907613977e+30	-4.973293101750323e+32

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64_1373`
8×	`sub-neg_binary64_1435` `+-commutative_binary64_1372`
6×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
4×	`distribute-rgt-neg-in_binary64_1400`
3×	`distribute-lft-neg-in_binary64_1399`
2×	`cancel-sign-sub-inv_binary64_1408`
1×	`1-exp_binary64_1486` `distribute-lft-neg-out_binary64_1401`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `unpow1_binary64_1500` `e-exp-1_binary64_1487` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `unsub-neg_binary64_1436` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `-rgt-identity_binary64_1432` `-lft-identity_binary64_1431` `remove-double-neg_binary64_1430` `sub0-neg_binary64_1429` `--rgt-identity_binary64_1428` `+-rgt-identity_binary64_1427` `+-lft-identity_binary64_1426` `cancel-sign-sub_binary64_1407` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-neg-in_binary64_1403` `distribute-rgt-neg-out_binary64_1402`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	56
1	42	56
2	60	56
3	72	56
4	81	56
5	84	56

Proof

(if real (<= f64 h0 -497329310175032335664933521850368) (/ f64 1 (* f64 (/ f64 3 (* f64 h0 -2)) h1)) (if real (<= f64 h0 5243443152176671/2361183241434822606848) (/ f64 (- f64 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 3 h1) h2))) h0) (* f64 3 h1)) (* f64 -1/2 (/ f64 h2 h0))))

end0.0ms (0%)

sample3.6s (12.1%)

Algorithm

1×

intervals

Results

293.0ms	1152×	body	2048	valid
290.0ms	5210×	body	128	valid
146.0ms	715×	body	1024	valid
133.0ms	412×	body	4096	valid
51.0ms	345×	body	512	valid
33.0ms	663×	body	128	nan
25.0ms	436×	body	128	invalid
17.0ms	166×	body	256	valid

Compiler

Compiled 2775 to 2203 computations (20.6% saved)

Details

analyze472.0ms (1.6%)

sample44.0ms (0.1%)

simplify10.3s (34.4%)

prune13.0ms (0%)

localize11.0ms (0%)

rewrite166.0ms (0.6%)

series1.1s (3.9%)

simplify338.0ms (1.1%)

prune1.5s (5.2%)

localize13.0ms (0%)

rewrite193.0ms (0.6%)

series1.3s (4.3%)

simplify369.0ms (1.2%)

prune678.0ms (2.3%)

localize12.0ms (0%)

rewrite136.0ms (0.5%)

series1.1s (3.7%)

simplify336.0ms (1.1%)

prune894.0ms (3%)

localize13.0ms (0%)

rewrite218.0ms (0.7%)

series793.0ms (2.7%)

simplify361.0ms (1.2%)

prune1.9s (6.2%)

regimes3.9s (13%)

bsearch70.0ms (0.2%)

simplify6.0ms (0%)

end0.0ms (0%)

sample3.6s (12.1%)

Profiling