Time bar (total: 2.2s)
| 1× | search |
| 2× | egg-herbie |
| 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 |
| 8× | distribute-rgt-neg-out_binary64_1402 distribute-lft-neg-out_binary64_1401 |
| 7× | remove-double-div_binary64_1418 distribute-neg-frac_binary64_1406 |
| 6× | distribute-lft-out_binary64_1393 |
| 4× | unpow3_binary64_1508 distribute-rgt-out--_binary64_1396 +-commutative_binary64_1372 |
| 3× | pow-plus_binary64_1505 cube-mult_binary64_1472 |
| 2× | cube-unmult_binary64_1479 *-inverses_binary64_1422 pow-sqr_binary64_1415 |
| 1× | 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 |
| 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 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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 31 |
| 1 | 39 | 28 |
| 2 | 177 | 19 |
| 3 | 904 | 13 |
| 4 | 2320 | 13 |
| 5 | 4069 | 13 |
| 6 | 5047 | 13 |
| 0 | 1 | 1 |
| 1 | 1 | 1 |
| True | Other | False | Iter |
|---|---|---|---|
| 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 |
Compiled 29 to 20 computations (31% saved)
| 1× | intervals |
| 13.0ms | 256× | body | 128 | valid |
| 7.0ms | 256× | pre | 128 | true |
Compiled 54 to 38 computations (29.6% saved)
| 1× | egg-herbie |
| 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 |
| 8× | distribute-rgt-neg-out_binary64_1402 distribute-lft-neg-out_binary64_1401 |
| 7× | remove-double-div_binary64_1418 distribute-neg-frac_binary64_1406 |
| 6× | distribute-lft-out_binary64_1393 |
| 4× | unpow3_binary64_1508 distribute-rgt-out--_binary64_1396 +-commutative_binary64_1372 |
| 3× | pow-plus_binary64_1505 cube-mult_binary64_1472 |
| 2× | cube-unmult_binary64_1479 *-inverses_binary64_1422 pow-sqr_binary64_1415 |
| 1× | 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 |
| 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 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 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 31 |
| 1 | 39 | 28 |
| 2 | 177 | 19 |
| 3 | 904 | 13 |
| 4 | 2320 | 13 |
| 5 | 4069 | 13 |
| 6 | 5047 | 13 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
Compiled 43 to 33 computations (23.3% saved)
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)) |
| 1× | rewrite-expression-head |
| 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 |
| 9× | add-cbrt-cube_binary64_1478 associate-/r*_binary64_1386 |
| 8× | distribute-lft-out--_binary64_1394 |
| 6× | pow-flip_binary64_1516 div-inv_binary64_1439 associate-/l*_binary64_1387 |
| 5× | div-exp_binary64_1493 |
| 3× | prod-exp_binary64_1491 cbrt-undiv_binary64_1476 |
| 2× | 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 |
| 1× | 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 |
2 calls:
| 9.0ms | (/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i)))) |
| 6.0ms | (/.f64 1 (*.f64 i i)) |
Compiled 1349 to 1011 computations (25.1% saved)
2 calls:
| 66.0ms | (/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i)))) |
| 28.0ms | (/.f64 1 (*.f64 i i)) |
Compiled 395 to 361 computations (8.6% saved)
| 1× | egg-herbie |
| 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 |
| 7× | /-rgt-identity_binary64_1433 |
| 5× | log-pow_binary64_1531 log-rec_binary64_1530 |
| 4× | exp-sum_binary64_1488 sqr-neg_binary64_1456 distribute-rgt1-in_binary64_1398 count-2_binary64_1390 associate--l+_binary64_1379 |
| 3× | 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 |
| 2× | 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 |
| 1× | 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 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_1705 erf-erfc_binary64_1704 erf-odd_binary64_1703 if-if-and-not_binary64_1702 if-if-and_binary64_1701 if-if-or-not_binary64_1700 if-if-or_binary64_1699 if-not_binary64_1698 if-same_binary64_1697 if-false_binary64_1696 if-true_binary64_1695 not-gte_binary64_1694 not-lte_binary64_1693 not-gt_binary64_1692 not-lt_binary64_1691 gte-same_binary64_1690 lte-same_binary64_1689 gt-same_binary64_1688 lt-same_binary64_1687 sinh---cosh_binary64_1634 sinh-+-cosh_binary64_1633 sinh-cosh_binary64_1632 tanh-def-c_binary64_1631 tanh-def-b_binary64_1630 tanh-def-a_binary64_1629 cosh-def_binary64_1628 sinh-def_binary64_1627 tan-neg_binary64_1574 cos-neg_binary64_1573 sin-neg_binary64_1572 tan-0_binary64_1571 cos-0_binary64_1570 sin-0_binary64_1569 hang-m-tan_binary64_1568 hang-p-tan_binary64_1567 hang-m0-tan_binary64_1566 hang-p0-tan_binary64_1565 hang-0m-tan_binary64_1564 hang-0p-tan_binary64_1563 tan-+PI/2_binary64_1562 tan-+PI_binary64_1561 tan-PI_binary64_1560 tan-PI/3_binary64_1559 tan-PI/4_binary64_1558 tan-PI/6_binary64_1557 cos-+PI/2_binary64_1556 cos-+PI_binary64_1555 cos-PI_binary64_1554 cos-PI/2_binary64_1553 cos-PI/3_binary64_1552 cos-PI/4_binary64_1551 cos-PI/6_binary64_1550 sin-+PI/2_binary64_1549 sin-+PI_binary64_1548 sin-PI_binary64_1547 sin-PI/2_binary64_1546 sin-PI/3_binary64_1545 sin-PI/4_binary64_1544 sin-PI/6_binary64_1543 sub-1-sin_binary64_1542 sub-1-cos_binary64_1541 -1-add-sin_binary64_1540 -1-add-cos_binary64_1539 1-sub-sin_binary64_1538 1-sub-cos_binary64_1537 cos-sin-sum_binary64_1536 log-E_binary64_1532 pow-base-0_binary64_1526 unpow1/3_binary64_1509 exp-to-pow_binary64_1504 pow-base-1_binary64_1502 unpow0_binary64_1501 unpow-1_binary64_1499 exp-lft-cube_binary64_1498 exp-lft-sqr_binary64_1497 exp-cbrt_binary64_1496 exp-sqrt_binary64_1495 div-exp_binary64_1493 rec-exp_binary64_1492 prod-exp_binary64_1491 exp-neg_binary64_1489 e-exp-1_binary64_1487 exp-0_binary64_1484 rem-log-exp_binary64_1483 rem-exp-log_binary64_1482 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 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 160 | 1474 |
| 1 | 311 | 1381 |
| 2 | 702 | 1341 |
| 3 | 1706 | 1341 |
| 4 | 4565 | 1341 |
| 5 | 5026 | 1341 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 69 | 2 | 71 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 71 | 2 | 73 |
Compiled 901 to 695 computations (22.9% saved)
Found 1 expressions with local error:
| 0.3b | (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) |
| 1× | rewrite-expression-head |
| 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 |
| 7× | associate-/r*_binary64_1386 |
| 4× | unpow-prod-down_binary64_1521 sqr-pow_binary64_1414 distribute-lft-out--_binary64_1394 |
| 3× | add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478 associate-/l*_binary64_1387 |
| 2× | associate-/r/_binary64_1388 |
| 1× | 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 |
1 calls:
| 9.0ms | (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) |
Compiled 769 to 682 computations (11.3% saved)
1 calls:
| 77.0ms | (/.f64 1/4 (-.f64 4 (pow.f64 i -2))) |
Compiled 314 to 283 computations (9.9% saved)
| 1× | egg-herbie |
| 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 |
| 9× | cube-mult_binary64_1472 sqr-neg_binary64_1456 |
| 8× | *-lft-identity_binary64_1431 +-rgt-identity_binary64_1427 |
| 6× | rem-sqrt-square_binary64_1455 distribute-frac-neg_binary64_1405 |
| 4× | pow-sqr_binary64_1415 |
| 3× | /-rgt-identity_binary64_1433 cancel-sign-sub_binary64_1407 distribute-neg-out_binary64_1404 associate--l+_binary64_1379 |
| 2× | 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 |
| 1× | log-div_binary64_1529 log-prod_binary64_1528 unpow2_binary64_1507 unpow1/2_binary64_1506 unpow1_binary64_1500 1-exp_binary64_1486 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same 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 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 1041 |
| 1 | 272 | 995 |
| 2 | 594 | 991 |
| 3 | 1433 | 963 |
| 4 | 4248 | 963 |
| 5 | 4898 | 963 |
| 6 | 4888 | 963 |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 41 | 0 | 41 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 41 | 2 | 43 |
Compiled 559 to 464 computations (17% saved)
| 1× | rewrite-expression-head |
Compiled 0 to 0 computations (0% saved)
Compiled 0 to 0 computations (0% saved)
| 1× | egg-herbie |
| 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 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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1 | 0 | 0 |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 0 | 2 | 2 |
Compiled 0 to 0 computations (0% saved)
Total 0.1b remaining (98.9%)
Threshold costs 0.1b (98.9%)
Compiled 683 to 589 computations (13.8% saved)
| 1× | egg-herbie |
| 5× | neg-mul-1_binary64_1438 neg-sub0_binary64_1437 |
| 4× | +-commutative_binary64_1372 |
| 3× | sub-neg_binary64_1435 *-rgt-identity_binary64_1432 *-commutative_binary64_1373 |
| 2× | unsub-neg_binary64_1436 distribute-neg-frac_binary64_1406 distribute-rgt-neg-out_binary64_1402 |
| 1× | 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 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64_1702 if-if-and_binary64_1701 if-if-or-not_binary64_1700 if-if-or_binary64_1699 if-not_binary64_1698 if-same_binary64_1697 if-false_binary64_1696 if-true_binary64_1695 tan-0_binary64_1571 cos-0_binary64_1570 sin-0_binary64_1569 unpow1_binary64_1500 e-exp-1_binary64_1487 exp-1-e_binary64_1485 exp-0_binary64_1484 sqr-abs_binary64_1457 sqr-neg_binary64_1456 mul-1-neg_binary64_1434 /-rgt-identity_binary64_1433 remove-double-neg_binary64_1430 sub0-neg_binary64_1429 --rgt-identity_binary64_1428 +-rgt-identity_binary64_1427 +-lft-identity_binary64_1426 cancel-sign-sub-inv_binary64_1408 cancel-sign-sub_binary64_1407 distribute-frac-neg_binary64_1405 distribute-neg-out_binary64_1404 distribute-neg-in_binary64_1403 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 22 |
| 1 | 22 | 22 |
| 2 | 28 | 22 |
| 3 | 32 | 22 |
| 4 | 35 | 22 |
| 5 | 42 | 22 |
| 6 | 41 | 22 |
| 7 | 36 | 22 |
| 1× | intervals |
| 422.0ms | 8000× | body | 128 | valid |
| 96.0ms | 8000× | pre | 128 | true |
Compiled 321 to 284 computations (11.5% saved)
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