Time bar (total: 10.0min)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 56.2% | 43.8% | 0 |
| 0% | 56.2% | 43.8% | 1 |
| 0% | 56.2% | 43.8% | 2 |
| 42.1% | 14% | 43.8% | 3 |
| 42.1% | 14% | 43.8% | 4 |
| 52.7% | 3.5% | 43.8% | 5 |
| 56.2% | 0% | 43.8% | 6 |
Compiled 42 to 29 computations (31% saved)
| 1× | intervals |
| 14.0ms | 256× | body | 128 | valid |
| 4.0ms | 256× | pre | 128 | true |
Compiled 77 to 55 computations (28.6% saved)
| 1× | egg-herbie |
| 719× | distribute-rgt-in_binary64_1392 |
| 695× | distribute-lft-in_binary64_1391 |
| 516× | associate-*l*_binary64_1383 |
| 478× | exp-prod_binary64_1494 |
| 475× | distribute-rgt-out--_binary64_1396 |
| 382× | associate-+r+_binary64_1374 |
| 377× | associate-+l+_binary64_1375 |
| 258× | associate-*r*_binary64_1382 |
| 245× | pow-plus_binary64_1505 |
| 240× | associate-/l*_binary64_1387 |
| 161× | times-frac_binary64_1448 |
| 133× | sqr-pow_binary64_1414 |
| 120× | associate-/l/_binary64_1389 |
| 115× | cancel-sign-sub-inv_binary64_1408 |
| 112× | pow-sqr_binary64_1415 |
| 105× | pow-base-1_binary64_1502 |
| 93× | *-commutative_binary64_1373 |
| 72× | distribute-rgt-neg-in_binary64_1400 |
| 71× | associate-/r*_binary64_1386 |
| 68× | associate-*l/_binary64_1385 |
| 65× | sub-neg_binary64_1435 |
| 64× | associate--l+_binary64_1379 |
| 47× | associate--r+_binary64_1378 |
| 38× | distribute-rgt1-in_binary64_1398 distribute-rgt-out_binary64_1395 |
| 35× | *-lft-identity_binary64_1431 |
| 31× | remove-double-div_binary64_1418 distribute-lft-neg-in_binary64_1399 associate-/r/_binary64_1388 |
| 27× | *-rgt-identity_binary64_1432 |
| 23× | +-commutative_binary64_1372 |
| 17× | associate-*r/_binary64_1384 |
| 14× | distribute-neg-frac_binary64_1406 |
| 13× | prod-exp_binary64_1491 |
| 12× | /-rgt-identity_binary64_1433 swap-sqr_binary64_1409 distribute-lft1-in_binary64_1397 |
| 9× | div-exp_binary64_1493 neg-mul-1_binary64_1438 neg-sub0_binary64_1437 |
| 8× | +-inverses_binary64_1421 distribute-neg-in_binary64_1403 |
| 6× | exp-lft-sqr_binary64_1497 exp-sum_binary64_1488 cube-prod_binary64_1470 unswap-sqr_binary64_1410 |
| 5× | cube-div_binary64_1471 |
| 4× | cube-unmult_binary64_1479 |
| 3× | unpow3_binary64_1508 exp-sqrt_binary64_1495 rec-exp_binary64_1492 count-2_binary64_1390 |
| 1× | 1-exp_binary64_1486 exp-1-e_binary64_1485 cube-mult_binary64_1472 rem-sqrt-square_binary64_1455 --rgt-identity_binary64_1428 +-rgt-identity_binary64_1427 div0_binary64_1423 *-inverses_binary64_1422 rgt-mult-inverse_binary64_1419 difference-of-sqr-1_binary64_1412 difference-of-squares_binary64_1411 |
| 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 exp-to-pow_binary64_1504 unpow0_binary64_1501 unpow1_binary64_1500 unpow-1_binary64_1499 exp-lft-cube_binary64_1498 exp-cbrt_binary64_1496 exp-diff_binary64_1490 exp-neg_binary64_1489 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 div-sub_binary64_1447 unsub-neg_binary64_1436 mul-1-neg_binary64_1434 remove-double-neg_binary64_1430 sub0-neg_binary64_1429 +-lft-identity_binary64_1426 mul0-rgt_binary64_1425 mul0-lft_binary64_1424 lft-mult-inverse_binary64_1420 difference-of-sqr--1_binary64_1413 cancel-sign-sub_binary64_1407 distribute-frac-neg_binary64_1405 distribute-neg-out_binary64_1404 distribute-rgt-neg-out_binary64_1402 distribute-lft-neg-out_binary64_1401 distribute-lft-out--_binary64_1394 distribute-lft-out_binary64_1393 associate--r-_binary64_1381 associate--l-_binary64_1380 associate-+l-_binary64_1377 associate-+r-_binary64_1376 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 43 |
| 1 | 36 | 43 |
| 2 | 114 | 43 |
| 3 | 468 | 40 |
| 4 | 2330 | 40 |
| 5 | 2280 | 40 |
| 6 | 2584 | 40 |
| 7 | 2966 | 40 |
| 8 | 3222 | 40 |
| 9 | 4524 | 40 |
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 | 3 | 6 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 3 | 4 | 7 |
Compiled 286 to 195 computations (31.8% saved)
Found 4 expressions with local error:
| 0.0b | (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) |
| 0.0b | (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 1 (+.f64 alpha 2)))) |
| 0.1b | (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 1 (+.f64 alpha 2)))) (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))) |
| 11.6b | (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) |
| 1× | rewrite-expression-head |
| 192× | *-un-lft-identity_binary64_1442 |
| 94× | distribute-lft-out_binary64_1393 |
| 60× | times-frac_binary64_1448 |
| 47× | add-sqr-sqrt_binary64_1464 |
| 35× | add-cube-cbrt_binary64_1477 associate-*l*_binary64_1383 |
| 34× | add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478 |
| 22× | flip3-+_binary64_1445 flip-+_binary64_1416 |
| 21× | associate-*r*_binary64_1382 |
| 20× | associate-/r/_binary64_1388 |
| 13× | pow1_binary64_1503 frac-times_binary64_1452 |
| 11× | swap-sqr_binary64_1409 |
| 10× | prod-exp_binary64_1491 div-exp_binary64_1493 cbrt-undiv_binary64_1476 cbrt-unprod_binary64_1475 |
| 8× | associate-/l*_binary64_1387 |
| 7× | associate-*l/_binary64_1385 associate-*r/_binary64_1384 associate-/r*_binary64_1386 |
| 5× | unswap-sqr_binary64_1410 |
| 4× | add-log-exp_binary64_1481 div-inv_binary64_1439 associate-/l/_binary64_1389 |
| 2× | frac-2neg_binary64_1453 clear-num_binary64_1441 pow-prod-down_binary64_1513 *-commutative_binary64_1373 |
| 1× | pow2_binary64_1523 pow-prod-up_binary64_1512 pow-plus_binary64_1505 pow-sqr_binary64_1415 distribute-rgt-in_binary64_1392 distribute-lft-in_binary64_1391 |
4 calls:
| 40.0ms | (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 1 (+.f64 alpha 2)))) (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))) |
| 15.0ms | (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) |
| 13.0ms | (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) |
| 12.0ms | (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 1 (+.f64 alpha 2)))) |
Compiled 8203 to 5917 computations (27.9% saved)
4 calls:
| 1.6s | (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 1 (+.f64 alpha 2)))) (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))) |
| 575.0ms | (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) |
| 243.0ms | (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 1 (+.f64 alpha 2)))) |
| 187.0ms | (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))) |
Compiled 15454 to 12240 computations (20.8% saved)
| 1× | egg-herbie |
| 366× | distribute-rgt-in_binary64_1392 |
| 339× | distribute-lft-in_binary64_1391 |
| 313× | +-commutative_binary64_1372 |
| 247× | *-commutative_binary64_1373 |
| 238× | associate-+r+_binary64_1374 |
| 183× | associate-*r/_binary64_1384 |
| 169× | sub-neg_binary64_1435 |
| 113× | distribute-neg-in_binary64_1403 |
| 110× | associate-/r*_binary64_1386 |
| 92× | cancel-sign-sub-inv_binary64_1408 |
| 85× | associate-/l*_binary64_1387 |
| 84× | unswap-sqr_binary64_1410 |
| 68× | times-frac_binary64_1448 |
| 53× | sqr-pow_binary64_1414 |
| 48× | neg-mul-1_binary64_1438 neg-sub0_binary64_1437 |
| 38× | associate--r+_binary64_1378 |
| 34× | associate--l+_binary64_1379 |
| 31× | associate-*l/_binary64_1385 |
| 25× | *-rgt-identity_binary64_1432 |
| 21× | pow-sqr_binary64_1415 |
| 18× | associate-*r*_binary64_1382 |
| 17× | distribute-rgt-neg-in_binary64_1400 |
| 15× | swap-sqr_binary64_1409 associate-*l*_binary64_1383 |
| 13× | distribute-rgt-out_binary64_1395 |
| 12× | cube-unmult_binary64_1479 |
| 11× | distribute-lft-neg-in_binary64_1399 |
| 8× | unpow2_binary64_1507 exp-prod_binary64_1494 |
| 7× | log-div_binary64_1529 log-prod_binary64_1528 distribute-rgt-out--_binary64_1396 |
| 6× | *-lft-identity_binary64_1431 difference-of-squares_binary64_1411 |
| 5× | unpow3_binary64_1508 pow-plus_binary64_1505 cube-mult_binary64_1472 associate-+r-_binary64_1376 |
| 4× | exp-sum_binary64_1488 cube-prod_binary64_1470 /-rgt-identity_binary64_1433 distribute-lft-neg-out_binary64_1401 |
| 3× | unsub-neg_binary64_1436 distribute-neg-frac_binary64_1406 distribute-rgt1-in_binary64_1398 |
| 2× | rem-sqrt-square_binary64_1455 count-2_binary64_1390 |
| 1× | div-exp_binary64_1493 rec-exp_binary64_1492 prod-exp_binary64_1491 1-exp_binary64_1486 rem-3cbrt-rft_binary64_1468 rem-3cbrt-lft_binary64_1467 rem-square-sqrt_binary64_1454 *-inverses_binary64_1422 distribute-lft-out_binary64_1393 associate-+l-_binary64_1377 |
| 0× | not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_1705 erf-erfc_binary64_1704 erf-odd_binary64_1703 if-if-and-not_binary64_1702 if-if-and_binary64_1701 if-if-or-not_binary64_1700 if-if-or_binary64_1699 if-not_binary64_1698 if-same_binary64_1697 if-false_binary64_1696 if-true_binary64_1695 not-gte_binary64_1694 not-lte_binary64_1693 not-gt_binary64_1692 not-lt_binary64_1691 gte-same_binary64_1690 lte-same_binary64_1689 gt-same_binary64_1688 lt-same_binary64_1687 sinh---cosh_binary64_1634 sinh-+-cosh_binary64_1633 sinh-cosh_binary64_1632 tanh-def-c_binary64_1631 tanh-def-b_binary64_1630 tanh-def-a_binary64_1629 cosh-def_binary64_1628 sinh-def_binary64_1627 tan-neg_binary64_1574 cos-neg_binary64_1573 sin-neg_binary64_1572 tan-0_binary64_1571 cos-0_binary64_1570 sin-0_binary64_1569 hang-m-tan_binary64_1568 hang-p-tan_binary64_1567 hang-m0-tan_binary64_1566 hang-p0-tan_binary64_1565 hang-0m-tan_binary64_1564 hang-0p-tan_binary64_1563 tan-+PI/2_binary64_1562 tan-+PI_binary64_1561 tan-PI_binary64_1560 tan-PI/3_binary64_1559 tan-PI/4_binary64_1558 tan-PI/6_binary64_1557 cos-+PI/2_binary64_1556 cos-+PI_binary64_1555 cos-PI_binary64_1554 cos-PI/2_binary64_1553 cos-PI/3_binary64_1552 cos-PI/4_binary64_1551 cos-PI/6_binary64_1550 sin-+PI/2_binary64_1549 sin-+PI_binary64_1548 sin-PI_binary64_1547 sin-PI/2_binary64_1546 sin-PI/3_binary64_1545 sin-PI/4_binary64_1544 sin-PI/6_binary64_1543 sub-1-sin_binary64_1542 sub-1-cos_binary64_1541 -1-add-sin_binary64_1540 -1-add-cos_binary64_1539 1-sub-sin_binary64_1538 1-sub-cos_binary64_1537 cos-sin-sum_binary64_1536 log-E_binary64_1532 log-pow_binary64_1531 log-rec_binary64_1530 pow-base-0_binary64_1526 unpow1/3_binary64_1509 unpow1/2_binary64_1506 exp-to-pow_binary64_1504 pow-base-1_binary64_1502 unpow0_binary64_1501 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-diff_binary64_1490 exp-neg_binary64_1489 e-exp-1_binary64_1487 exp-1-e_binary64_1485 exp-0_binary64_1484 rem-log-exp_binary64_1483 rem-exp-log_binary64_1482 cube-div_binary64_1471 cube-neg_binary64_1469 rem-cbrt-cube_binary64_1466 rem-cube-cbrt_binary64_1465 sqr-abs_binary64_1457 sqr-neg_binary64_1456 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_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 cancel-sign-sub_binary64_1407 distribute-frac-neg_binary64_1405 distribute-neg-out_binary64_1404 distribute-rgt-neg-out_binary64_1402 distribute-lft1-in_binary64_1397 distribute-lft-out--_binary64_1394 associate-/l/_binary64_1389 associate-/r/_binary64_1388 associate--r-_binary64_1381 associate--l-_binary64_1380 associate-+l+_binary64_1375 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1000 | 16898 |
| 1 | 3336 | 15360 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 487 | 3 | 490 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 488 | 6 | 494 |
Compiled 27453 to 19525 computations (28.9% saved)
Found 4 expressions with local error:
| 0.3b | (*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 beta) alpha)) (+.f64 (+.f64 2 beta) alpha))) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 beta) alpha)) (+.f64 (+.f64 2 beta) alpha)))) |
| 7.7b | (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 beta) alpha)) (+.f64 (+.f64 2 beta) alpha))) |
| 7.7b | (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 beta) alpha)) (+.f64 (+.f64 2 beta) alpha))) |
| 7.7b | (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 beta) alpha)) (+.f64 (+.f64 2 beta) alpha))) |
| 1× | rewrite-expression-head |
| 8237× | *-un-lft-identity_binary64_1442 |
| 4210× | times-frac_binary64_1448 |
| 3783× | distribute-lft-out_binary64_1393 |
| 2300× | cbrt-prod_binary64_1473 |
| 991× | add-sqr-sqrt_binary64_1464 |
| 935× | add-cube-cbrt_binary64_1477 |
| 801× | swap-sqr_binary64_1409 |
| 139× | associate-*l*_binary64_1383 associate-*r*_binary64_1382 |
| 108× | associate-/r/_binary64_1388 |
| 54× | div-inv_binary64_1439 flip3-+_binary64_1445 flip-+_binary64_1416 |
| 16× | unswap-sqr_binary64_1410 |
| 11× | pow1_binary64_1503 |
| 9× | pow1/3_binary64_1524 |
| 7× | cbrt-div_binary64_1474 |
| 6× | add-exp-log_binary64_1480 |
| 4× | add-log-exp_binary64_1481 add-cbrt-cube_binary64_1478 |
| 2× | pow-prod-down_binary64_1513 pow-prod-up_binary64_1512 pow-sqr_binary64_1415 |
| 1× | pow2_binary64_1523 pow-plus_binary64_1505 prod-exp_binary64_1491 cbrt-unprod_binary64_1475 frac-times_binary64_1452 associate-*l/_binary64_1385 associate-*r/_binary64_1384 *-commutative_binary64_1373 |
4 calls:
| 318.0ms | (*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 beta) alpha)) (+.f64 (+.f64 2 beta) alpha))) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 beta) alpha)) (+.f64 (+.f64 2 beta) alpha)))) |
| 27.0ms | (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 beta) alpha)) (+.f64 (+.f64 2 beta) alpha))) |
| 23.0ms | (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 beta) alpha)) (+.f64 (+.f64 2 beta) alpha))) |
| 23.0ms | (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 beta) alpha)) (+.f64 (+.f64 2 beta) alpha))) |
Compiled 130468 to 96925 computations (25.7% saved)
3 calls:
| 7.7s | (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 beta) alpha)) (+.f64 (+.f64 2 beta) alpha))) |
| 7.7s | (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 beta) alpha)) (+.f64 (+.f64 2 beta) alpha))) |
| 7.7s | (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 beta) alpha)) (+.f64 (+.f64 2 beta) alpha))) |
Compiled 31556 to 26351 computations (16.5% saved)
Loading profile data...