Details

Time bar (total: 2.2s)

analyze191.0ms (8.5%)

Algorithm
search
egg-herbie
Rules
581×associate-/r*_binary64_1386
516×cancel-sign-sub-inv_binary64_1408
510×distribute-rgt-in_binary64_1392
489×distribute-lft-in_binary64_1391
415×associate-/r/_binary64_1388
333×associate-*l*_binary64_1383
267×associate-*r*_binary64_1382
258×div-sub_binary64_1447
232×times-frac_binary64_1448
184×associate-/l*_binary64_1387
153×swap-sqr_binary64_1409
130×*-commutative_binary64_1373
82×sub-neg_binary64_1435
78×unsub-neg_binary64_1436
67×*-rgt-identity_binary64_1432
63×associate-/l/_binary64_1389
42×neg-sub0_binary64_1437
34×neg-mul-1_binary64_1438
32×associate-*l/_binary64_1385 associate-+l+_binary64_1375
31×*-lft-identity_binary64_1431
29×associate-*r/_binary64_1384
28×associate-+r+_binary64_1374
22×/-rgt-identity_binary64_1433
21×cube-div_binary64_1471 cube-prod_binary64_1470
20×distribute-rgt-out_binary64_1395
16×distribute-rgt-neg-in_binary64_1400
13×mul-1-neg_binary64_1434
12×sqr-pow_binary64_1414
10×unswap-sqr_binary64_1410 distribute-lft-neg-in_binary64_1399
distribute-rgt-neg-out_binary64_1402 distribute-lft-neg-out_binary64_1401
remove-double-div_binary64_1418 distribute-neg-frac_binary64_1406
distribute-lft-out_binary64_1393
unpow3_binary64_1508 distribute-rgt-out--_binary64_1396 +-commutative_binary64_1372
pow-plus_binary64_1505 cube-mult_binary64_1472
cube-unmult_binary64_1479 *-inverses_binary64_1422 pow-sqr_binary64_1415
unpow2_binary64_1507 unpow1_binary64_1500 1-exp_binary64_1486 lft-mult-inverse_binary64_1420 rgt-mult-inverse_binary64_1419 difference-of-sqr-1_binary64_1412 distribute-lft-out--_binary64_1394 associate-+l-_binary64_1377 associate-+r-_binary64_1376
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 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 exp-prod_binary64_1494 div-exp_binary64_1493 rec-exp_binary64_1492 prod-exp_binary64_1491 exp-diff_binary64_1490 exp-neg_binary64_1489 exp-sum_binary64_1488 e-exp-1_binary64_1487 exp-1-e_binary64_1485 exp-0_binary64_1484 rem-log-exp_binary64_1483 rem-exp-log_binary64_1482 cube-neg_binary64_1469 rem-3cbrt-rft_binary64_1468 rem-3cbrt-lft_binary64_1467 rem-cbrt-cube_binary64_1466 rem-cube-cbrt_binary64_1465 sqr-abs_binary64_1457 sqr-neg_binary64_1456 rem-sqrt-square_binary64_1455 rem-square-sqrt_binary64_1454 remove-double-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_1421 difference-of-sqr--1_binary64_1413 difference-of-squares_binary64_1411 cancel-sign-sub_binary64_1407 distribute-frac-neg_binary64_1405 distribute-neg-out_binary64_1404 distribute-neg-in_binary64_1403 distribute-rgt1-in_binary64_1398 distribute-lft1-in_binary64_1397 count-2_binary64_1390 associate--r-_binary64_1381 associate--l-_binary64_1380 associate--l+_binary64_1379 associate--r+_binary64_1378
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
13928
217719
390413
4232013
5406913
6504713
011
111
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
37.5%12.5%50%4
43.7%6.2%50%5
46.9%3.1%50%6
48.4%1.6%50%7
49.2%0.8%50%8
49.6%0.4%50%9
49.8%0.2%50%10
49.9%0.1%50%11
49.9%0%50%12
50%0%50%13
50%0%50%14
Compiler

Compiled 29 to 20 computations (31% saved)

sample32.0ms (1.4%)

Algorithm
intervals
Results
13.0ms256×body128valid
7.0ms256×pre128true
Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify50.0ms (2.2%)

Algorithm
egg-herbie
Rules
581×associate-/r*_binary64_1386
516×cancel-sign-sub-inv_binary64_1408
510×distribute-rgt-in_binary64_1392
489×distribute-lft-in_binary64_1391
415×associate-/r/_binary64_1388
333×associate-*l*_binary64_1383
267×associate-*r*_binary64_1382
258×div-sub_binary64_1447
232×times-frac_binary64_1448
184×associate-/l*_binary64_1387
153×swap-sqr_binary64_1409
130×*-commutative_binary64_1373
82×sub-neg_binary64_1435
78×unsub-neg_binary64_1436
67×*-rgt-identity_binary64_1432
63×associate-/l/_binary64_1389
42×neg-sub0_binary64_1437
34×neg-mul-1_binary64_1438
32×associate-*l/_binary64_1385 associate-+l+_binary64_1375
31×*-lft-identity_binary64_1431
29×associate-*r/_binary64_1384
28×associate-+r+_binary64_1374
22×/-rgt-identity_binary64_1433
21×cube-div_binary64_1471 cube-prod_binary64_1470
20×distribute-rgt-out_binary64_1395
16×distribute-rgt-neg-in_binary64_1400
13×mul-1-neg_binary64_1434
12×sqr-pow_binary64_1414
10×unswap-sqr_binary64_1410 distribute-lft-neg-in_binary64_1399
distribute-rgt-neg-out_binary64_1402 distribute-lft-neg-out_binary64_1401
remove-double-div_binary64_1418 distribute-neg-frac_binary64_1406
distribute-lft-out_binary64_1393
unpow3_binary64_1508 distribute-rgt-out--_binary64_1396 +-commutative_binary64_1372
pow-plus_binary64_1505 cube-mult_binary64_1472
cube-unmult_binary64_1479 *-inverses_binary64_1422 pow-sqr_binary64_1415
unpow2_binary64_1507 unpow1_binary64_1500 1-exp_binary64_1486 lft-mult-inverse_binary64_1420 rgt-mult-inverse_binary64_1419 difference-of-sqr-1_binary64_1412 distribute-lft-out--_binary64_1394 associate-+l-_binary64_1377 associate-+r-_binary64_1376
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 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 exp-prod_binary64_1494 div-exp_binary64_1493 rec-exp_binary64_1492 prod-exp_binary64_1491 exp-diff_binary64_1490 exp-neg_binary64_1489 exp-sum_binary64_1488 e-exp-1_binary64_1487 exp-1-e_binary64_1485 exp-0_binary64_1484 rem-log-exp_binary64_1483 rem-exp-log_binary64_1482 cube-neg_binary64_1469 rem-3cbrt-rft_binary64_1468 rem-3cbrt-lft_binary64_1467 rem-cbrt-cube_binary64_1466 rem-cube-cbrt_binary64_1465 sqr-abs_binary64_1457 sqr-neg_binary64_1456 rem-sqrt-square_binary64_1455 rem-square-sqrt_binary64_1454 remove-double-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_1421 difference-of-sqr--1_binary64_1413 difference-of-squares_binary64_1411 cancel-sign-sub_binary64_1407 distribute-frac-neg_binary64_1405 distribute-neg-out_binary64_1404 distribute-neg-in_binary64_1403 distribute-rgt1-in_binary64_1398 distribute-lft1-in_binary64_1397 count-2_binary64_1390 associate--r-_binary64_1381 associate--l-_binary64_1380 associate--l+_binary64_1379 associate--r+_binary64_1378
Counts
1 → 1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01131
13928
217719
390413
4232013
5406913
6504713

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.2b
Counts
2 → 2
Compiler

Compiled 43 to 33 computations (23.3% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.3b
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
0.5b
(/.f64 1 (*.f64 i i))

rewrite115.0ms (5.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
37×add-sqr-sqrt_binary64_1464
35×times-frac_binary64_1448
33×*-un-lft-identity_binary64_1442
17×add-cube-cbrt_binary64_1477
15×add-exp-log_binary64_1480
12×difference-of-squares_binary64_1411
10×pow1_binary64_1503
add-cbrt-cube_binary64_1478 associate-/r*_binary64_1386
distribute-lft-out--_binary64_1394
pow-flip_binary64_1516 div-inv_binary64_1439 associate-/l*_binary64_1387
div-exp_binary64_1493
prod-exp_binary64_1491 cbrt-undiv_binary64_1476
1-exp_binary64_1486 rec-exp_binary64_1492 add-log-exp_binary64_1481 frac-2neg_binary64_1453 clear-num_binary64_1441 associate-/r/_binary64_1388
inv-pow_binary64_1527 pow2_binary64_1523 pow-prod-down_binary64_1513 pow-prod-up_binary64_1512 pow-plus_binary64_1505 pow-sqr_binary64_1415 cbrt-unprod_binary64_1475 flip3--_binary64_1446 flip--_binary64_1417
Counts
2 → 81
Calls

2 calls:

9.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
6.0ms
(/.f64 1 (*.f64 i i))
Compiler

Compiled 1349 to 1011 computations (25.1% saved)

series107.0ms (4.8%)

Error
0.0b
Counts
2 → 15
Calls

2 calls:

66.0ms
(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
28.0ms
(/.f64 1 (*.f64 i i))
Compiler

Compiled 395 to 361 computations (8.6% saved)

simplify104.0ms (4.6%)

Algorithm
egg-herbie
Rules
480×associate-/l*_binary64_1387
434×cancel-sign-sub-inv_binary64_1408
311×associate-/r/_binary64_1388
297×div-sub_binary64_1447
273×associate-/l/_binary64_1389
154×distribute-rgt-in_binary64_1392
143×distribute-rgt-neg-in_binary64_1400
131×distribute-rgt-out_binary64_1395
128×distribute-lft-neg-in_binary64_1399
121×unswap-sqr_binary64_1410
118×distribute-lft-in_binary64_1391
112×distribute-lft-out_binary64_1393
111×associate-*l*_binary64_1383
106×sub-neg_binary64_1435
96×distribute-neg-frac_binary64_1406
94×associate-/r*_binary64_1386
91×associate-*l/_binary64_1385
84×associate-*r*_binary64_1382
70×associate-*r/_binary64_1384
67×*-commutative_binary64_1373
65×times-frac_binary64_1448
59×distribute-neg-in_binary64_1403
53×+-commutative_binary64_1372
52×associate-+r+_binary64_1374
49×associate-+l+_binary64_1375
47×neg-sub0_binary64_1437
45×neg-mul-1_binary64_1438
43×log-div_binary64_1529
42×log-prod_binary64_1528
40×unsub-neg_binary64_1436 distribute-rgt-out--_binary64_1396
39×cube-div_binary64_1471
37×distribute-lft-out--_binary64_1394
36×distribute-rgt-neg-out_binary64_1402 distribute-lft-neg-out_binary64_1401
32×associate--r+_binary64_1378
31×cube-prod_binary64_1470 sqr-pow_binary64_1414
28×exp-prod_binary64_1494
26×associate-+r-_binary64_1376
20×associate-+l-_binary64_1377
15×pow-plus_binary64_1505
14×sub0-neg_binary64_1429 distribute-frac-neg_binary64_1405
13×*-rgt-identity_binary64_1432 swap-sqr_binary64_1409
11×unpow3_binary64_1508
10×cube-unmult_binary64_1479 +-rgt-identity_binary64_1427
/-rgt-identity_binary64_1433
log-pow_binary64_1531 log-rec_binary64_1530
exp-sum_binary64_1488 sqr-neg_binary64_1456 distribute-rgt1-in_binary64_1398 count-2_binary64_1390 associate--l+_binary64_1379
exp-diff_binary64_1490 cube-mult_binary64_1472 rem-sqrt-square_binary64_1455 *-lft-identity_binary64_1431 remove-double-neg_binary64_1430 +-lft-identity_binary64_1426 div0_binary64_1423 cancel-sign-sub_binary64_1407 distribute-neg-out_binary64_1404 distribute-lft1-in_binary64_1397
unpow2_binary64_1507 unpow1/2_binary64_1506 cube-neg_binary64_1469 --rgt-identity_binary64_1428 pow-sqr_binary64_1415 associate--r-_binary64_1381 associate--l-_binary64_1380
unpow1_binary64_1500 1-exp_binary64_1486 exp-1-e_binary64_1485 mul-1-neg_binary64_1434 mul0-rgt_binary64_1425 mul0-lft_binary64_1424
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_1705 erf-erfc_binary64_1704 erf-odd_binary64_1703 if-if-and-not_binary64_1702 if-if-and_binary64_1701 if-if-or-not_binary64_1700 if-if-or_binary64_1699 if-not_binary64_1698 if-same_binary64_1697 if-false_binary64_1696 if-true_binary64_1695 not-gte_binary64_1694 not-lte_binary64_1693 not-gt_binary64_1692 not-lt_binary64_1691 gte-same_binary64_1690 lte-same_binary64_1689 gt-same_binary64_1688 lt-same_binary64_1687 sinh---cosh_binary64_1634 sinh-+-cosh_binary64_1633 sinh-cosh_binary64_1632 tanh-def-c_binary64_1631 tanh-def-b_binary64_1630 tanh-def-a_binary64_1629 cosh-def_binary64_1628 sinh-def_binary64_1627 tan-neg_binary64_1574 cos-neg_binary64_1573 sin-neg_binary64_1572 tan-0_binary64_1571 cos-0_binary64_1570 sin-0_binary64_1569 hang-m-tan_binary64_1568 hang-p-tan_binary64_1567 hang-m0-tan_binary64_1566 hang-p0-tan_binary64_1565 hang-0m-tan_binary64_1564 hang-0p-tan_binary64_1563 tan-+PI/2_binary64_1562 tan-+PI_binary64_1561 tan-PI_binary64_1560 tan-PI/3_binary64_1559 tan-PI/4_binary64_1558 tan-PI/6_binary64_1557 cos-+PI/2_binary64_1556 cos-+PI_binary64_1555 cos-PI_binary64_1554 cos-PI/2_binary64_1553 cos-PI/3_binary64_1552 cos-PI/4_binary64_1551 cos-PI/6_binary64_1550 sin-+PI/2_binary64_1549 sin-+PI_binary64_1548 sin-PI_binary64_1547 sin-PI/2_binary64_1546 sin-PI/3_binary64_1545 sin-PI/4_binary64_1544 sin-PI/6_binary64_1543 sub-1-sin_binary64_1542 sub-1-cos_binary64_1541 -1-add-sin_binary64_1540 -1-add-cos_binary64_1539 1-sub-sin_binary64_1538 1-sub-cos_binary64_1537 cos-sin-sum_binary64_1536 log-E_binary64_1532 pow-base-0_binary64_1526 unpow1/3_binary64_1509 exp-to-pow_binary64_1504 pow-base-1_binary64_1502 unpow0_binary64_1501 unpow-1_binary64_1499 exp-lft-cube_binary64_1498 exp-lft-sqr_binary64_1497 exp-cbrt_binary64_1496 exp-sqrt_binary64_1495 div-exp_binary64_1493 rec-exp_binary64_1492 prod-exp_binary64_1491 exp-neg_binary64_1489 e-exp-1_binary64_1487 exp-0_binary64_1484 rem-log-exp_binary64_1483 rem-exp-log_binary64_1482 rem-3cbrt-rft_binary64_1468 rem-3cbrt-lft_binary64_1467 rem-cbrt-cube_binary64_1466 rem-cube-cbrt_binary64_1465 sqr-abs_binary64_1457 rem-square-sqrt_binary64_1454 *-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
Counts
96 → 71
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01601474
13111381
27021341
317061341
445651341
550261341

prune65.0ms (2.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New69271
Fresh101
Picked101
Done000
Total71273
Error
0b
Counts
73 → 2
Compiler

Compiled 901 to 695 computations (22.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))

rewrite67.0ms (3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
33×add-sqr-sqrt_binary64_1464
21×times-frac_binary64_1448 *-un-lft-identity_binary64_1442
13×add-cube-cbrt_binary64_1477
12×difference-of-squares_binary64_1411
associate-/r*_binary64_1386
unpow-prod-down_binary64_1521 sqr-pow_binary64_1414 distribute-lft-out--_binary64_1394
add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478 associate-/l*_binary64_1387
associate-/r/_binary64_1388
pow1_binary64_1503 div-exp_binary64_1493 add-log-exp_binary64_1481 cbrt-undiv_binary64_1476 frac-2neg_binary64_1453 clear-num_binary64_1441 div-inv_binary64_1439 flip3--_binary64_1446 flip--_binary64_1417
Counts
1 → 45
Calls

1 calls:

9.0ms
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
Compiler

Compiled 769 to 682 computations (11.3% saved)

series90.0ms (4%)

Error
0b
Counts
1 → 12
Calls

1 calls:

77.0ms
(/.f64 1/4 (-.f64 4 (pow.f64 i -2)))
Compiler

Compiled 314 to 283 computations (9.9% saved)

simplify109.0ms (4.9%)

Algorithm
egg-herbie
Rules
390×times-frac_binary64_1448
376×cancel-sign-sub-inv_binary64_1408
287×associate-/l*_binary64_1387
273×associate-/r*_binary64_1386
244×div-sub_binary64_1447
230×associate-*l/_binary64_1385
191×neg-mul-1_binary64_1438
155×distribute-rgt-neg-in_binary64_1400
146×associate-/l/_binary64_1389
142×distribute-lft-neg-in_binary64_1399
140×unswap-sqr_binary64_1410
138×distribute-rgt-in_binary64_1392
134×cube-prod_binary64_1470
121×associate-*l*_binary64_1383
106×distribute-lft-in_binary64_1391 associate-*r*_binary64_1382
97×unpow3_binary64_1508
87×sub-neg_binary64_1435
77×cube-div_binary64_1471
66×associate-/r/_binary64_1388
64×distribute-lft-out_binary64_1393
63×*-commutative_binary64_1373
60×distribute-rgt-out_binary64_1395
51×distribute-neg-in_binary64_1403
50×+-commutative_binary64_1372
47×neg-sub0_binary64_1437
46×distribute-neg-frac_binary64_1406 distribute-rgt-neg-out_binary64_1402
44×associate-+l+_binary64_1375
41×distribute-lft-neg-out_binary64_1401
40×associate-+r+_binary64_1374
37×associate-*r/_binary64_1384
36×unsub-neg_binary64_1436
34×sqr-pow_binary64_1414
29×distribute-lft-out--_binary64_1394 associate--r+_binary64_1378
23×distribute-rgt-out--_binary64_1396
20×cube-unmult_binary64_1479
19×swap-sqr_binary64_1409
18×pow-plus_binary64_1505
16×*-rgt-identity_binary64_1432
14×sub0-neg_binary64_1429 associate-+l-_binary64_1377
11×associate-+r-_binary64_1376
cube-mult_binary64_1472 sqr-neg_binary64_1456
*-lft-identity_binary64_1431 +-rgt-identity_binary64_1427
rem-sqrt-square_binary64_1455 distribute-frac-neg_binary64_1405
pow-sqr_binary64_1415
/-rgt-identity_binary64_1433 cancel-sign-sub_binary64_1407 distribute-neg-out_binary64_1404 associate--l+_binary64_1379
unpow-1_binary64_1499 cube-neg_binary64_1469 remove-double-neg_binary64_1430 distribute-rgt1-in_binary64_1398 distribute-lft1-in_binary64_1397 associate--r-_binary64_1381
log-div_binary64_1529 log-prod_binary64_1528 unpow2_binary64_1507 unpow1/2_binary64_1506 unpow1_binary64_1500 1-exp_binary64_1486
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 exp-to-pow_binary64_1504 pow-base-1_binary64_1502 unpow0_binary64_1501 exp-lft-cube_binary64_1498 exp-lft-sqr_binary64_1497 exp-cbrt_binary64_1496 exp-sqrt_binary64_1495 exp-prod_binary64_1494 div-exp_binary64_1493 rec-exp_binary64_1492 prod-exp_binary64_1491 exp-diff_binary64_1490 exp-neg_binary64_1489 exp-sum_binary64_1488 e-exp-1_binary64_1487 exp-1-e_binary64_1485 exp-0_binary64_1484 rem-log-exp_binary64_1483 rem-exp-log_binary64_1482 rem-3cbrt-rft_binary64_1468 rem-3cbrt-lft_binary64_1467 rem-cbrt-cube_binary64_1466 rem-cube-cbrt_binary64_1465 sqr-abs_binary64_1457 rem-square-sqrt_binary64_1454 mul-1-neg_binary64_1434 --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 difference-of-sqr--1_binary64_1413 difference-of-sqr-1_binary64_1412 difference-of-squares_binary64_1411 count-2_binary64_1390 associate--l-_binary64_1380
Counts
57 → 41
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01361041
1272995
2594991
31433963
44248963
54898963
64888963

prune40.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New41041
Fresh011
Picked011
Done000
Total41243
Error
0b
Counts
43 → 2
Compiler

Compiled 559 to 464 computations (17% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify8.0ms (0.4%)

Algorithm
egg-herbie
Rules
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 times-frac_binary64_1448 div-sub_binary64_1447 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 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 difference-of-squares_binary64_1411 unswap-sqr_binary64_1410 swap-sqr_binary64_1409 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 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 count-2_binary64_1390 associate-/l/_binary64_1389 associate-/r/_binary64_1388 associate-/l*_binary64_1387 associate-/r*_binary64_1386 associate-*l/_binary64_1385 associate-*r/_binary64_1384 associate-*l*_binary64_1383 associate-*r*_binary64_1382 associate--r-_binary64_1381 associate--l-_binary64_1380 associate--l+_binary64_1379 associate--r+_binary64_1378 associate-+l-_binary64_1377 associate-+r-_binary64_1376 associate-+l+_binary64_1375 associate-+r+_binary64_1374 *-commutative_binary64_1373 +-commutative_binary64_1372
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune0.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Error
0b
Counts
2 → 2
Compiler

Compiled 0 to 0 computations (0% saved)

regimes87.0ms (3.9%)

Accuracy

Total 0.1b remaining (98.9%)

Threshold costs 0.1b (98.9%)

Compiler

Compiled 683 to 589 computations (13.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Rules
neg-mul-1_binary64_1438 neg-sub0_binary64_1437
+-commutative_binary64_1372
sub-neg_binary64_1435 *-rgt-identity_binary64_1432 *-commutative_binary64_1373
unsub-neg_binary64_1436 distribute-neg-frac_binary64_1406 distribute-rgt-neg-out_binary64_1402
1-exp_binary64_1486 *-lft-identity_binary64_1431 distribute-lft-neg-out_binary64_1401 distribute-rgt-neg-in_binary64_1400 distribute-lft-neg-in_binary64_1399
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-inv_binary64_1408 cancel-sign-sub_binary64_1407 distribute-frac-neg_binary64_1405 distribute-neg-out_binary64_1404 distribute-neg-in_binary64_1403
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01622
12222
22822
33222
43522
54222
64122
73622

end0.0ms (0%)

sample1.2s (51.3%)

Algorithm
intervals
Results
422.0ms8000×body128valid
96.0ms8000×pre128true
Compiler

Compiled 321 to 284 computations (11.5% saved)

Profiling

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