Details

analyze2.3s (8.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

506×	`times-frac_binary64_1448`
396×	`cancel-sign-sub-inv_binary64_1408`
336×	`associate-/r*_binary64_1386`
265×	`swap-sqr_binary64_1409`
250×	`associate-l/_binary64_1385` `associate-r/_binary64_1384`
203×	`associate-/l*_binary64_1387`
167×	`*-commutative_binary64_1373`
160×	`associate-l_binary64_1383`
149×	`associate-r_binary64_1382`
137×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
103×	`sub-neg_binary64_1435`
61×	`+-commutative_binary64_1372`
31×	`difference-of-squares_binary64_1411`
30×	`+-rgt-identity_binary64_1427` `associate-+r-_binary64_1376`
15×	`sub0-neg_binary64_1429` `associate-/r/_binary64_1388` `associate-+l-_binary64_1377`
12×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
6×	`distribute-lft-neg-out_binary64_1401` `distribute-rgt-neg-in_binary64_1400`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1705` `erf-erfc_binary64_1704` `erf-odd_binary64_1703` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `not-gte_binary64_1694` `not-lte_binary64_1693` `not-gt_binary64_1692` `not-lt_binary64_1691` `gte-same_binary64_1690` `lte-same_binary64_1689` `gt-same_binary64_1688` `lt-same_binary64_1687` `sinh---cosh_binary64_1634` `sinh-+-cosh_binary64_1633` `sinh-cosh_binary64_1632` `tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `cosh-def_binary64_1628` `sinh-def_binary64_1627` `tan-neg_binary64_1574` `cos-neg_binary64_1573` `sin-neg_binary64_1572` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `hang-m-tan_binary64_1568` `hang-p-tan_binary64_1567` `hang-m0-tan_binary64_1566` `hang-p0-tan_binary64_1565` `hang-0m-tan_binary64_1564` `hang-0p-tan_binary64_1563` `tan-+PI/2_binary64_1562` `tan-+PI_binary64_1561` `tan-PI_binary64_1560` `tan-PI/3_binary64_1559` `tan-PI/4_binary64_1558` `tan-PI/6_binary64_1557` `cos-+PI/2_binary64_1556` `cos-+PI_binary64_1555` `cos-PI_binary64_1554` `cos-PI/2_binary64_1553` `cos-PI/3_binary64_1552` `cos-PI/4_binary64_1551` `cos-PI/6_binary64_1550` `sin-+PI/2_binary64_1549` `sin-+PI_binary64_1548` `sin-PI_binary64_1547` `sin-PI/2_binary64_1546` `sin-PI/3_binary64_1545` `sin-PI/4_binary64_1544` `sin-PI/6_binary64_1543` `sub-1-sin_binary64_1542` `sub-1-cos_binary64_1541` `-1-add-sin_binary64_1540` `-1-add-cos_binary64_1539` `1-sub-sin_binary64_1538` `1-sub-cos_binary64_1537` `cos-sin-sum_binary64_1536` `log-E_binary64_1532` `log-pow_binary64_1531` `log-rec_binary64_1530` `log-div_binary64_1529` `log-prod_binary64_1528` `pow-base-0_binary64_1526` `unpow1/3_binary64_1509` `unpow3_binary64_1508` `unpow2_binary64_1507` `unpow1/2_binary64_1506` `pow-plus_binary64_1505` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow1_binary64_1500` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `exp-prod_binary64_1494` `div-exp_binary64_1493` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `exp-diff_binary64_1490` `exp-neg_binary64_1489` `exp-sum_binary64_1488` `e-exp-1_binary64_1487` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-unmult_binary64_1479` `cube-mult_binary64_1472` `cube-div_binary64_1471` `cube-prod_binary64_1470` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `div-sub_binary64_1447` `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` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `div0_binary64_1423` `*-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `pow-sqr_binary64_1415` `sqr-pow_binary64_1414` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `unswap-sqr_binary64_1410` `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` `distribute-lft-neg-in_binary64_1399` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `distribute-rgt-out--_binary64_1396` `distribute-rgt-out_binary64_1395` `distribute-lft-out--_binary64_1394` `distribute-lft-out_binary64_1393` `count-2_binary64_1390` `associate-/l/_binary64_1389` `associate--r-_binary64_1381` `associate--l-_binary64_1380` `associate--l+_binary64_1379` `associate--r+_binary64_1378` `associate-+l+_binary64_1375` `associate-+r+_binary64_1374`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	1248
1	676	1248
2	3644	1248
3	4467	1248
4	5624	1248
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	98.1%	1.9%	13
0%	98.1%	1.9%	14

Compiler

Compiled 53 to 22 computations (58.5% saved)

sample164.0ms (0.6%)

Algorithm

1×

intervals

Results

35.0ms	64×	body	4096	valid
26.0ms	356×	body	128	nan
23.0ms	38×	body	8192	valid
16.0ms	43×	body	2048	valid
8.0ms	27×	body	1024	valid
8.0ms	102×	body	128	invalid
5.0ms	73×	body	128	valid
2.0ms	8×	body	512	valid
1.0ms	2×	body	1024	invalid
1.0ms	1×	body	8192	exit
0.0ms	1×	body	4096	invalid
0.0ms	3×	body	256	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

599×	`times-frac_binary64_1448`
518×	`distribute-neg-frac_binary64_1406`
304×	`associate-/l*_binary64_1387`
217×	`cancel-sign-sub-inv_binary64_1408`
190×	`associate-/r*_binary64_1386`
188×	`associate-r_binary64_1382`
187×	`associate-*l/_binary64_1385`
186×	`associate-l_binary64_1383`
162×	`associate-*r/_binary64_1384`
144×	`distribute-neg-in_binary64_1403`
123×	`neg-mul-1_binary64_1438`
122×	`neg-sub0_binary64_1437`
115×	`swap-sqr_binary64_1409`
112×	`associate-/l/_binary64_1389`
55×	`associate-/r/_binary64_1388`
44×	`*-commutative_binary64_1373`
22×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
10×	`unsub-neg_binary64_1436` `sub-neg_binary64_1435`
8×	`+-commutative_binary64_1372`
4×	`unswap-sqr_binary64_1410` `distribute-rgt-out_binary64_1395`
3×	`unpow3_binary64_1508` `cube-unmult_binary64_1479` `sqr-pow_binary64_1414`
2×	`sub0-neg_binary64_1429` `+-rgt-identity_binary64_1427` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `difference-of-squares_binary64_1411` `distribute-lft-neg-out_binary64_1401` `distribute-lft-out_binary64_1393` `associate-+l-_binary64_1377` `associate-+r-_binary64_1376` `associate-+l+_binary64_1375`
1×	`cube-div_binary64_1471` `distribute-rgt-neg-out_binary64_1402` `distribute-rgt-neg-in_binary64_1400`
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` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-mult_binary64_1472` `cube-prod_binary64_1470` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `div-sub_binary64_1447` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `-rgt-identity_binary64_1432` `-lft-identity_binary64_1431` `remove-double-neg_binary64_1430` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `div0_binary64_1423` `*-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `pow-sqr_binary64_1415` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `cancel-sign-sub_binary64_1407` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-lft-neg-in_binary64_1399` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394` `count-2_binary64_1390` `associate--r-_binary64_1381` `associate--l-_binary64_1380` `associate--l+_binary64_1379` `associate--r+_binary64_1378` `associate-+r+_binary64_1374`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	78
1	63	78
2	290	78
3	3039	69
4	3619	69
5	5019	69

prune7.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

60.7b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

18.0b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.0b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.0b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
28.3b	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

rewrite905.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

60.7b

Rules

211×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
117×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
45×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
6×	`add-log-exp_binary64_1481` `*-un-lft-identity_binary64_1442`
4×	`pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464`
3×	`frac-2neg_binary64_1453` `times-frac_binary64_1448` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/l_binary64_1387` `associate-/r_binary64_1386`
2×	`sqrt-div_binary64_1459` `frac-add_binary64_1450`
1×	`sum-log_binary64_1533` `flip3--_binary64_1446` `flip--_binary64_1417` `flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out_binary64_1393` `+-commutative_binary64_1372`

Counts

4 → 143

Calls

4 calls:

54.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
15.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 10014 to 1186 computations (88.2% saved)

series3.1s (11.6%)

Error

32.7b

Counts

4 → 71

Calls

4 calls:

888.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
728.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
718.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
697.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 6232 to 3915 computations (37.2% saved)

simplify184.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

553×	`times-frac_binary64_1448`
265×	`associate-l_binary64_1383`
225×	`associate-r_binary64_1382`
214×	`cancel-sign-sub-inv_binary64_1408`
202×	`associate-/r*_binary64_1386`
198×	`associate-/l*_binary64_1387`
181×	`unpow3_binary64_1508`
148×	`swap-sqr_binary64_1409`
146×	`log-div_binary64_1529`
139×	`distribute-rgt-neg-in_binary64_1400`
133×	`distribute-lft-neg-in_binary64_1399`
111×	`cube-prod_binary64_1470` `*-commutative_binary64_1373`
101×	`cube-div_binary64_1471`
98×	`log-prod_binary64_1528`
88×	`distribute-neg-frac_binary64_1406` `associate-*l/_binary64_1385`
78×	`sub-neg_binary64_1435`
68×	`unswap-sqr_binary64_1410` `associate-*r/_binary64_1384`
57×	`distribute-rgt-out_binary64_1395`
52×	`sqr-pow_binary64_1414`
44×	`neg-sub0_binary64_1437` `distribute-rgt-out--_binary64_1396`
42×	`neg-mul-1_binary64_1438`
39×	`distribute-lft-out--_binary64_1394`
32×	`+-commutative_binary64_1372`
26×	`distribute-neg-in_binary64_1403`
23×	`exp-prod_binary64_1494`
17×	`cube-mult_binary64_1472` `distribute-rgt-in_binary64_1392`
16×	`associate--r+_binary64_1378`
15×	`associate--l+_binary64_1379`
13×	`distribute-lft-in_binary64_1391` `associate-/r/_binary64_1388` `associate-+l+_binary64_1375`
12×	`difference-of-squares_binary64_1411`
10×	`distribute-lft-neg-out_binary64_1401`
9×	`cube-unmult_binary64_1479` `associate-+r+_binary64_1374`
8×	`pow-plus_binary64_1505` `unsub-neg_binary64_1436`
7×	`pow-sqr_binary64_1415`
5×	`distribute-rgt-neg-out_binary64_1402` `associate-/l/_binary64_1389`
4×	`log-pow_binary64_1531`
3×	`unpow2_binary64_1507` `unpow1/2_binary64_1506` `unpow1_binary64_1500` `div-sub_binary64_1447` `associate-+r-_binary64_1376`
2×	`mul-1-neg_binary64_1434` `cancel-sign-sub_binary64_1407` `count-2_binary64_1390` `associate-+l-_binary64_1377`
1×	`prod-exp_binary64_1491` `1-exp_binary64_1486` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `remove-double-neg_binary64_1430` `+-rgt-identity_binary64_1427` `+-inverses_binary64_1421` `distribute-neg-out_binary64_1404` `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-rec_binary64_1530` `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` `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-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` `/-rgt-identity_binary64_1433` `-rgt-identity_binary64_1432` `-lft-identity_binary64_1431` `sub0-neg_binary64_1429` `--rgt-identity_binary64_1428` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `div0_binary64_1423` `*-inverses_binary64_1422` `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-lft1-in_binary64_1397` `distribute-lft-out_binary64_1393`

Counts

214 → 202

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	5808
1	478	5324
2	2892	5243
3	4820	5195
4	5046	5195

prune154.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	195	7	202
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	195	9	204

Error

32.8b

Counts

204 → 9

Compiler

Compiled 3095 to 822 computations (73.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.4b	(.f64 (.f64 d d) c0)
10.9b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
12.6b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
15.8b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))

rewrite1.2s (4.6%)

Algorithm

1×	rewrite-expression-head

Error

27.3b

Rules

917×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
623×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
166×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
46×	`pow1_binary64_1503`
30×	`pow-prod-down_binary64_1513`
9×	`associate-l_binary64_1383`
8×	`add-sqr-sqrt_binary64_1464`
7×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
5×	`associate-r_binary64_1382`
4×	`add-log-exp_binary64_1481` `times-frac_binary64_1448`
3×	`-commutative_binary64_1373` `associate-r/_binary64_1384`
2×	`div-inv_binary64_1439`
1×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-/l_binary64_1387` `associate-/r_binary64_1386` `frac-times_binary64_1452` `associate-*l/_binary64_1385` `unswap-sqr_binary64_1410`

Counts

4 → 315

Calls

4 calls:

32.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
20.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
15.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
6.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 14850 to 3445 computations (76.8% saved)

series2.4s (9.1%)

Error

27.6b

Counts

4 → 54

Calls

4 calls:

1.1s	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
863.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
389.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
78.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 2430 to 2285 computations (6% saved)

simplify315.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

894×	`times-frac_binary64_1448`
535×	`associate-l_binary64_1383`
373×	`associate-/r*_binary64_1386`
365×	`associate-*r/_binary64_1384`
351×	`associate-/l*_binary64_1387`
305×	`associate-*l/_binary64_1385`
166×	`*-commutative_binary64_1373`
145×	`associate-r_binary64_1382`
130×	`log-div_binary64_1529`
64×	`associate-+r+_binary64_1374`
58×	`associate-+l-_binary64_1377`
39×	`sub-neg_binary64_1435`
31×	`+-commutative_binary64_1372`
29×	`swap-sqr_binary64_1409`
27×	`associate-+r-_binary64_1376`
26×	`log-prod_binary64_1528`
19×	`exp-prod_binary64_1494` `associate-/r/_binary64_1388`
16×	`distribute-rgt-neg-in_binary64_1400` `associate--l+_binary64_1379`
15×	`cube-unmult_binary64_1479` `unswap-sqr_binary64_1410` `distribute-lft-neg-in_binary64_1399`
12×	`associate--r+_binary64_1378`
9×	`sqr-pow_binary64_1414`
8×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437` `cancel-sign-sub-inv_binary64_1408`
6×	`associate-+l+_binary64_1375`
5×	`distribute-neg-in_binary64_1403`
3×	`log-pow_binary64_1531` `unpow2_binary64_1507` `pow-plus_binary64_1505` `unpow1_binary64_1500` `pow-sqr_binary64_1415` `count-2_binary64_1390`
2×	`*-rgt-identity_binary64_1432` `associate-/l/_binary64_1389`
1×	`log-rec_binary64_1530` `1-exp_binary64_1486` `*-lft-identity_binary64_1431`
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` `unpow3_binary64_1508` `unpow1/2_binary64_1506` `exp-to-pow_binary64_1504` `pow-base-1_binary64_1502` `unpow0_binary64_1501` `unpow-1_binary64_1499` `exp-lft-cube_binary64_1498` `exp-lft-sqr_binary64_1497` `exp-cbrt_binary64_1496` `exp-sqrt_binary64_1495` `div-exp_binary64_1493` `rec-exp_binary64_1492` `prod-exp_binary64_1491` `exp-diff_binary64_1490` `exp-neg_binary64_1489` `exp-sum_binary64_1488` `e-exp-1_binary64_1487` `exp-1-e_binary64_1485` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-mult_binary64_1472` `cube-div_binary64_1471` `cube-prod_binary64_1470` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `div-sub_binary64_1447` `unsub-neg_binary64_1436` `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` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `div0_binary64_1423` `*-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-rgt-neg-out_binary64_1402` `distribute-lft-neg-out_binary64_1401` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `distribute-rgt-out--_binary64_1396` `distribute-rgt-out_binary64_1395` `distribute-lft-out--_binary64_1394` `distribute-lft-out_binary64_1393` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `associate--r-_binary64_1381` `associate--l-_binary64_1380`

Counts

369 → 354

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	472	18972
1	760	12573
2	4917	12573
3	5118	12573

prune233.0ms (0.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	348	6	354
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	349	14	363

Error

26.2b

Counts

363 → 14

Compiler

Compiled 2887 to 1242 computations (57% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

6.8b	(.f64 (.f64 D D) h)
13.7b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
14.2b	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))

rewrite248.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

21.0b

Rules

94×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
55×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
29×	`pow1_binary64_1503`
18×	`pow-prod-down_binary64_1513`
14×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
5×	`add-sqr-sqrt_binary64_1464`
4×	`add-cube-cbrt_binary64_1477` `-un-lft-identity_binary64_1442` `associate-r*_binary64_1382`
3×	`add-log-exp_binary64_1481`
2×	`associate-l_binary64_1383` `*-commutative_binary64_1373`
1×	`frac-2neg_binary64_1453` `times-frac_binary64_1448` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/l_binary64_1387` `associate-/r_binary64_1386` `unswap-sqr_binary64_1410`

Counts

3 → 88

Calls

3 calls:

15.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
14.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2086 to 424 computations (79.7% saved)

series822.0ms (3.1%)

Error

26.2b

Counts

3 → 27

Calls

3 calls:

490.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
235.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
89.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 855 to 911 computations (-6.5% saved)

simplify115.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

588×	`associate-*l/_binary64_1385`
485×	`associate-*r/_binary64_1384`
467×	`*-commutative_binary64_1373`
295×	`times-frac_binary64_1448`
238×	`associate-/l/_binary64_1389`
212×	`associate-/r/_binary64_1388`
190×	`associate-l_binary64_1383`
183×	`log-prod_binary64_1528`
158×	`associate-r_binary64_1382`
142×	`associate-/l*_binary64_1387`
133×	`log-div_binary64_1529`
130×	`exp-prod_binary64_1494`
124×	`cube-prod_binary64_1470`
104×	`associate-/r*_binary64_1386`
86×	`unpow3_binary64_1508`
78×	`cube-div_binary64_1471`
72×	`unswap-sqr_binary64_1410`
66×	`associate-+l+_binary64_1375`
57×	`associate--l+_binary64_1379`
50×	`distribute-rgt-neg-in_binary64_1400`
49×	`associate-+r+_binary64_1374`
44×	`distribute-lft-neg-in_binary64_1399`
43×	`+-commutative_binary64_1372`
42×	`swap-sqr_binary64_1409`
33×	`sqr-pow_binary64_1414`
31×	`sub-neg_binary64_1435`
25×	`cube-mult_binary64_1472`
24×	`cancel-sign-sub-inv_binary64_1408`
14×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
13×	`associate--r+_binary64_1378`
10×	`cube-unmult_binary64_1479`
9×	`log-pow_binary64_1531` `pow-plus_binary64_1505`
8×	`*-rgt-identity_binary64_1432` `pow-sqr_binary64_1415`
7×	`*-lft-identity_binary64_1431`
5×	`log-rec_binary64_1530` `associate-+r-_binary64_1376`
4×	`unpow1/2_binary64_1506` `unsub-neg_binary64_1436` `associate-+l-_binary64_1377`
3×	`unpow2_binary64_1507` `unpow1_binary64_1500` `/-rgt-identity_binary64_1433` `distribute-lft-neg-out_binary64_1401` `count-2_binary64_1390`
2×	`distribute-rgt-out--_binary64_1396` `distribute-lft-out_binary64_1393`
1×	`1-exp_binary64_1486` `exp-1-e_binary64_1485` `distribute-neg-in_binary64_1403` `distribute-rgt-neg-out_binary64_1402` `distribute-rgt-out_binary64_1395` `distribute-rgt-in_binary64_1392`
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-diff_binary64_1490` `exp-neg_binary64_1489` `exp-sum_binary64_1488` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-neg_binary64_1469` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `sqr-neg_binary64_1456` `rem-sqrt-square_binary64_1455` `rem-square-sqrt_binary64_1454` `div-sub_binary64_1447` `mul-1-neg_binary64_1434` `remove-double-neg_binary64_1430` `sub0-neg_binary64_1429` `--rgt-identity_binary64_1428` `+-rgt-identity_binary64_1427` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `div0_binary64_1423` `*-inverses_binary64_1422` `+-inverses_binary64_1421` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `remove-double-div_binary64_1418` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-neg-frac_binary64_1406` `distribute-frac-neg_binary64_1405` `distribute-neg-out_binary64_1404` `distribute-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397` `distribute-lft-out--_binary64_1394` `distribute-lft-in_binary64_1391` `associate--r-_binary64_1381` `associate--l-_binary64_1380`

Counts

115 → 80

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	2649
1	282	1830
2	1424	1830
3	4467	1808
4	4940	1808
5	5061	1808

prune44.0ms (0.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	3	9	12
Picked	1	0	1
Done	0	1	1
Total	79	15	94

Error

22.5b

Counts

94 → 15

Compiler

Compiled 554 to 354 computations (36.1% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

4.0b	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
6.7b	(/.f64 (.f64 (.f64 D D) h) d)
6.8b	(.f64 (.f64 D D) h)
10.3b	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))

rewrite311.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

18.7b

Rules

92×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
42×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
24×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
14×	`pow1_binary64_1503`
13×	`add-sqr-sqrt_binary64_1464`
11×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
10×	`associate-r_binary64_1382`
9×	`times-frac_binary64_1448`
6×	`pow-prod-down_binary64_1513` `associate-/r*_binary64_1386`
4×	`add-log-exp_binary64_1481`
3×	`div-inv_binary64_1439`
2×	`unswap-sqr_binary64_1410` `associate-r/_binary64_1384` `associate-l_binary64_1383` `-commutative_binary64_1373` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-/l*_binary64_1387`
1×	`associate-/l/_binary64_1389`

Counts

4 → 114

Calls

4 calls:

13.0ms	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
13.0ms	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))
7.0ms	(/.f64 (.f64 (.f64 D D) h) d)
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2691 to 634 computations (76.4% saved)

series1.2s (4.5%)

Error

22.5b

Counts

4 → 39

Calls

4 calls:

474.0ms	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
407.0ms	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))
202.0ms	(/.f64 (.f64 (.f64 D D) h) d)
82.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1215 to 1278 computations (-5.2% saved)

simplify161.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

503×	`*-commutative_binary64_1373`
274×	`unswap-sqr_binary64_1410`
231×	`associate-/l*_binary64_1387`
226×	`associate--r-_binary64_1381`
222×	`sub-neg_binary64_1435`
218×	`associate-l_binary64_1383`
208×	`log-prod_binary64_1528`
160×	`times-frac_binary64_1448`
148×	`log-div_binary64_1529`
146×	`associate-r_binary64_1382`
131×	`sqr-pow_binary64_1414`
129×	`cube-div_binary64_1471`
128×	`associate-*r/_binary64_1384`
116×	`associate-*l/_binary64_1385`
113×	`cube-prod_binary64_1470`
89×	`distribute-rgt-neg-in_binary64_1400`
87×	`associate-/l/_binary64_1389`
80×	`distribute-lft-neg-in_binary64_1399`
77×	`associate--l+_binary64_1379`
75×	`associate-+l+_binary64_1375`
65×	`associate-/r*_binary64_1386`
64×	`unpow3_binary64_1508`
63×	`cancel-sign-sub-inv_binary64_1408`
61×	`distribute-neg-frac_binary64_1406`
60×	`exp-prod_binary64_1494`
57×	`cube-mult_binary64_1472`
55×	`associate-/r/_binary64_1388`
54×	`associate-+l-_binary64_1377`
53×	`associate-+r+_binary64_1374`
48×	`unsub-neg_binary64_1436`
45×	`neg-mul-1_binary64_1438`
44×	`neg-sub0_binary64_1437` `swap-sqr_binary64_1409` `associate-+r-_binary64_1376` `+-commutative_binary64_1372`
38×	`distribute-neg-in_binary64_1403` `associate--l-_binary64_1380`
34×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
32×	`div-sub_binary64_1447`
28×	`*-rgt-identity_binary64_1432`
22×	`*-lft-identity_binary64_1431` `distribute-neg-out_binary64_1404`
21×	`pow-sqr_binary64_1415`
19×	`/-rgt-identity_binary64_1433`
18×	`log-rec_binary64_1530`
17×	`pow-plus_binary64_1505`
13×	`log-pow_binary64_1531`
12×	`cube-unmult_binary64_1479`
10×	`+-rgt-identity_binary64_1427`
9×	`unpow1/2_binary64_1506`
7×	`count-2_binary64_1390`
6×	`distribute-lft-out--_binary64_1394`
4×	`remove-double-neg_binary64_1430` `div0_binary64_1423` `distribute-lft-out_binary64_1393`
3×	`unpow2_binary64_1507` `unpow1_binary64_1500` `rem-sqrt-square_binary64_1455` `distribute-lft-neg-out_binary64_1401` `associate--r+_binary64_1378`
2×	`remove-double-div_binary64_1418` `distribute-rgt-neg-out_binary64_1402` `distribute-rgt-out--_binary64_1396` `distribute-rgt-out_binary64_1395`
1×	`1-exp_binary64_1486` `exp-1-e_binary64_1485` `--rgt-identity_binary64_1428` `+-inverses_binary64_1421`
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-diff_binary64_1490` `exp-neg_binary64_1489` `exp-sum_binary64_1488` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-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` `+-lft-identity_binary64_1426` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424` `*-inverses_binary64_1422` `lft-mult-inverse_binary64_1420` `rgt-mult-inverse_binary64_1419` `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-rgt1-in_binary64_1398` `distribute-lft1-in_binary64_1397`

Counts

153 → 114

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	159	3216
1	387	2400
2	1856	2400
3	3106	2386
4	4883	2377
5	4984	2377
6	4966	2377

prune66.0ms (0.3%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	103	11	114
Fresh	4	9	13
Picked	1	0	1
Done	0	1	1
Total	108	21	129

Error

18.6b

Counts

129 → 21

Compiler

Compiled 619 to 200 computations (67.7% saved)

regimes6.8s (25.8%)

Accuracy

Total 6.8b remaining (25.9%)

Threshold costs 0b (0%)

Compiler

Compiled 85264 to 51677 computations (39.4% saved)

bsearch15.0ms (0.1%)

Compiler: Compiled 3 to 7 computations (-133.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6× *-commutative_binary64_1373

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 1-exp_binary64_1486 exp-1-e_binary64_1485 exp-0_binary64_1484 sqr-abs_binary64_1457 sqr-neg_binary64_1456 neg-mul-1_binary64_1438 neg-sub0_binary64_1437 unsub-neg_binary64_1436 sub-neg_binary64_1435 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-inv_binary64_1408 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 distribute-lft-neg-out_binary64_1401 distribute-rgt-neg-in_binary64_1400 distribute-lft-neg-in_binary64_1399 +-commutative_binary64_1372

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	63
1	33	63
2	33	63

end2.0ms (0%)

Compiler: Compiled 43 to 28 computations (34.9% saved)

sample5.6s (21.1%)

Algorithm

1×

intervals

Results

994.0ms	2070×	body	4096	valid
932.0ms	12093×	body	128	nan
727.0ms	1186×	body	8192	valid
495.0ms	1314×	body	2048	valid
305.0ms	3910×	body	128	invalid
203.0ms	685×	body	1024	valid
183.0ms	2309×	body	128	valid
65.0ms	301×	body	512	valid
26.0ms	64×	body	2048	invalid
20.0ms	135×	body	256	valid
19.0ms	64×	body	1024	invalid
8.0ms	37×	body	512	invalid
6.0ms	11×	body	8192	exit
3.0ms	7×	body	4096	invalid
2.0ms	13×	body	256	invalid

Compiler

Compiled 656 to 467 computations (28.8% saved)

Details

analyze2.3s (8.6%)

sample164.0ms (0.6%)

simplify44.0ms (0.2%)

prune7.0ms (0%)

localize22.0ms (0.1%)

rewrite905.0ms (3.4%)

series3.1s (11.6%)

simplify184.0ms (0.7%)

prune154.0ms (0.6%)

localize19.0ms (0.1%)

rewrite1.2s (4.6%)

series2.4s (9.1%)

simplify315.0ms (1.2%)

prune233.0ms (0.9%)

localize10.0ms (0%)

rewrite248.0ms (0.9%)

series822.0ms (3.1%)

simplify115.0ms (0.4%)

prune44.0ms (0.2%)

localize10.0ms (0%)

rewrite311.0ms (1.2%)

series1.2s (4.5%)

simplify161.0ms (0.6%)

prune66.0ms (0.3%)

regimes6.8s (25.8%)

bsearch15.0ms (0.1%)

simplify4.0ms (0%)

end2.0ms (0%)

sample5.6s (21.1%)

Profiling