Details

Time bar (total: 7.1s)

analyze397.0ms (5.6%)

Algorithm
search
egg-herbie
Rules
354×unsub-neg_binary64_1436
337×sub-neg_binary64_1435
286×distribute-rgt-neg-in_binary64_1400
252×distribute-rgt-in_binary64_1392
248×div-sub_binary64_1447
230×distribute-lft-in_binary64_1391
210×associate-/l*_binary64_1387
187×distribute-neg-in_binary64_1403
135×associate-+l-_binary64_1377
132×distribute-neg-frac_binary64_1406
124×cancel-sign-sub-inv_binary64_1408
118×associate--r-_binary64_1381
113×distribute-lft-neg-in_binary64_1399
110×neg-mul-1_binary64_1438
98×neg-sub0_binary64_1437 associate-/r*_binary64_1386
97×distribute-lft-neg-out_binary64_1401
95×associate--r+_binary64_1378
88×associate--l+_binary64_1379
82×distribute-rgt-out--_binary64_1396
80×+-commutative_binary64_1372
76×associate-/r/_binary64_1388
70×associate--l-_binary64_1380
68×distribute-rgt-neg-out_binary64_1402 associate-*l*_binary64_1383 associate-+l+_binary64_1375
64×distribute-rgt-out_binary64_1395
58×associate-+r-_binary64_1376 associate-+r+_binary64_1374
54×associate-/l/_binary64_1389 associate-*r*_binary64_1382
51×*-commutative_binary64_1373
44×*-rgt-identity_binary64_1432
42×mul0-rgt_binary64_1425 associate-*l/_binary64_1385
38×mul0-lft_binary64_1424
33×remove-double-neg_binary64_1430
32×*-lft-identity_binary64_1431 distribute-neg-out_binary64_1404
31×sub0-neg_binary64_1429 --rgt-identity_binary64_1428
28×associate-*r/_binary64_1384
14×div0_binary64_1423
13×+-rgt-identity_binary64_1427
/-rgt-identity_binary64_1433 distribute-lft-out--_binary64_1394 distribute-lft-out_binary64_1393
cancel-sign-sub_binary64_1407
distribute-rgt1-in_binary64_1398 distribute-lft1-in_binary64_1397
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 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 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 mul-1-neg_binary64_1434 +-lft-identity_binary64_1426 *-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 distribute-frac-neg_binary64_1405 count-2_binary64_1390
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02248
15242
211742
329042
449842
587542
6116142
7181842
8217142
9211342
10211942
11213042
12213442
13231942
14220842
15220842
16220842
17221442
18202442
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%50%50%2
0%50%50%3
0%50%50%4
6.2%43.7%50%5
9.4%28.1%62.5%6
12.5%25%62.5%7
15.6%15.6%68.8%8
16.8%14.4%68.8%9
18.5%8.8%72.7%10
19.2%7.7%73.1%11
20.1%4.6%75.2%12
20.5%4%75.5%13
21%2.4%76.6%14
Compiler

Compiled 21 to 20 computations (4.8% saved)

sample24.0ms (0.3%)

Algorithm
intervals
Results
14.0ms256×body128valid
0.0msbody128invalid
0.0msbody128nan
Compiler

Compiled 41 to 41 computations (0% saved)

simplify69.0ms (1%)

Algorithm
egg-herbie
Rules
189×distribute-rgt-in_binary64_1392
173×cancel-sign-sub-inv_binary64_1408
159×sub-neg_binary64_1435
156×distribute-lft-in_binary64_1391
149×unsub-neg_binary64_1436
146×distribute-rgt-neg-in_binary64_1400
109×distribute-neg-in_binary64_1403
105×div-sub_binary64_1447
100×associate-/l*_binary64_1387
95×associate--r+_binary64_1378
68×distribute-neg-frac_binary64_1406
63×associate--r-_binary64_1381
59×distribute-lft-neg-in_binary64_1399
57×distribute-lft-neg-out_binary64_1401
56×neg-mul-1_binary64_1438 cancel-sign-sub_binary64_1407
53×neg-sub0_binary64_1437
52×associate--l+_binary64_1379
47×associate-+l-_binary64_1377
46×associate-/r*_binary64_1386
38×associate-*l*_binary64_1383
37×associate-/r/_binary64_1388
35×distribute-rgt-out--_binary64_1396
34×distribute-rgt-neg-out_binary64_1402 +-commutative_binary64_1372
33×associate--l-_binary64_1380
32×associate-+l+_binary64_1375
30×associate-*r*_binary64_1382
29×associate-/l/_binary64_1389
28×associate-+r+_binary64_1374
27×associate-+r-_binary64_1376
25×*-commutative_binary64_1373
24×mul0-rgt_binary64_1425
23×*-rgt-identity_binary64_1432 distribute-rgt-out_binary64_1395
22×mul0-lft_binary64_1424
21×associate-*l/_binary64_1385
18×*-lft-identity_binary64_1431
15×associate-*r/_binary64_1384
12×remove-double-neg_binary64_1430 sub0-neg_binary64_1429 --rgt-identity_binary64_1428 distribute-neg-out_binary64_1404
+-rgt-identity_binary64_1427 div0_binary64_1423
/-rgt-identity_binary64_1433 distribute-lft-out_binary64_1393
distribute-lft-out--_binary64_1394
1-exp_binary64_1486 +-lft-identity_binary64_1426 distribute-rgt1-in_binary64_1398 distribute-lft1-in_binary64_1397
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 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 mul-1-neg_binary64_1434 *-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 distribute-frac-neg_binary64_1405 count-2_binary64_1390
Counts
1 → 1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01524
13221
27121
315021
426621
546021
661821
798721
8118521
9114821
10119121
11119021
12118721
13104921

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 2
Compiler

Compiled 48 to 45 computations (6.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (-.f64 a 1/3) 9)
0.1b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))))
0.1b
(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))
0.2b
(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))

rewrite214.0ms (3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×add-sqr-sqrt_binary64_1464
23×*-un-lft-identity_binary64_1442
17×add-cube-cbrt_binary64_1477
12×times-frac_binary64_1448
11×pow1_binary64_1503
10×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478 associate-*l*_binary64_1383
associate-*l/_binary64_1385
associate-*r*_binary64_1382
flip3--_binary64_1446 flip--_binary64_1417
sqrt-prod_binary64_1458
add-log-exp_binary64_1481 sqrt-div_binary64_1459 associate-/r*_binary64_1386 frac-times_binary64_1452
associate-/l*_binary64_1387 pow-prod-down_binary64_1513 flip3-+_binary64_1445 flip-+_binary64_1416
associate-/r/_binary64_1388 sqrt-pow1_binary64_1460 prod-exp_binary64_1491 cbrt-unprod_binary64_1475 unswap-sqr_binary64_1410 associate-*r/_binary64_1384 difference-of-squares_binary64_1411 distribute-lft-out--_binary64_1394 *-commutative_binary64_1373
div-exp_binary64_1493 cbrt-undiv_binary64_1476 frac-2neg_binary64_1453 clear-num_binary64_1441 div-inv_binary64_1439 pow1/2_binary64_1522 distribute-rgt-in_binary64_1392 distribute-lft-in_binary64_1391 distribute-lft-out_binary64_1393
Counts
4 → 99
Calls

4 calls:

15.0ms
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))))
11.0ms
(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
7.0ms
(*.f64 (-.f64 a 1/3) 9)
5.0ms
(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))
Compiler

Compiled 2373 to 1883 computations (20.6% saved)

series465.0ms (6.5%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

209.0ms
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))))
163.0ms
(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
47.0ms
(*.f64 (-.f64 a 1/3) 9)
22.0ms
(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))
Compiler

Compiled 850 to 737 computations (13.3% saved)

simplify100.0ms (1.4%)

Algorithm
egg-herbie
Rules
682×distribute-rgt-in_binary64_1392
667×distribute-lft-in_binary64_1391
297×associate-*l/_binary64_1385
279×associate-*r/_binary64_1384
216×times-frac_binary64_1448
197×associate-/l*_binary64_1387
132×associate-/r*_binary64_1386
116×associate-*l*_binary64_1383
93×associate-*r*_binary64_1382
90×*-commutative_binary64_1373
70×div-sub_binary64_1447
49×associate-/l/_binary64_1389
39×exp-sum_binary64_1488
35×exp-prod_binary64_1494
32×*-lft-identity_binary64_1431
31×*-rgt-identity_binary64_1432
25×sub-neg_binary64_1435 sqr-pow_binary64_1414 associate-/r/_binary64_1388 +-commutative_binary64_1372
24×cancel-sign-sub-inv_binary64_1408
18×log-prod_binary64_1528
16×cube-prod_binary64_1470
13×swap-sqr_binary64_1409 distribute-neg-frac_binary64_1406
12×distribute-rgt-neg-in_binary64_1400
11×log-div_binary64_1529 cube-div_binary64_1471 distribute-lft-neg-out_binary64_1401
distribute-rgt-neg-out_binary64_1402
distribute-rgt-out_binary64_1395
neg-mul-1_binary64_1438 neg-sub0_binary64_1437 associate-+l+_binary64_1375
unswap-sqr_binary64_1410 distribute-lft-neg-in_binary64_1399
unpow3_binary64_1508 exp-diff_binary64_1490
cube-unmult_binary64_1479 /-rgt-identity_binary64_1433 associate-+l-_binary64_1377
cube-mult_binary64_1472
log-rec_binary64_1530 unpow1/2_binary64_1506 pow-plus_binary64_1505 pow-sqr_binary64_1415 distribute-rgt1-in_binary64_1398 associate--l+_binary64_1379 associate-+r+_binary64_1374
prod-exp_binary64_1491 1-exp_binary64_1486 exp-1-e_binary64_1485 rem-sqrt-square_binary64_1455 rem-square-sqrt_binary64_1454 distribute-rgt-out--_binary64_1396 count-2_binary64_1390 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 pow-base-0_binary64_1526 unpow1/3_binary64_1509 unpow2_binary64_1507 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 div-exp_binary64_1493 rec-exp_binary64_1492 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 unsub-neg_binary64_1436 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-frac-neg_binary64_1405 distribute-neg-out_binary64_1404 distribute-neg-in_binary64_1403 distribute-lft1-in_binary64_1397 distribute-lft-out--_binary64_1394 distribute-lft-out_binary64_1393 associate--r-_binary64_1381 associate--l-_binary64_1380 associate--r+_binary64_1378
Counts
123 → 99
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01922238
14542076
213572067
348122067
450102067

prune160.0ms (2.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New91899
Fresh011
Picked101
Done000
Total929101
Error
0.0b
Counts
101 → 9
Compiler

Compiled 2255 to 1781 computations (21% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 a 1/3))
0.0b
(+.f64 (-.f64 a 1/3) (*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))))
0.2b
(*.f64 rand (sqrt.f64 (-.f64 a 1/3)))
0.4b
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))

rewrite160.0ms (2.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
19×add-sqr-sqrt_binary64_1464
14×*-un-lft-identity_binary64_1442 associate-*r/_binary64_1384
12×pow1_binary64_1503
11×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478 sqrt-prod_binary64_1458
10×add-cube-cbrt_binary64_1477 sqrt-div_binary64_1459
add-log-exp_binary64_1481 associate-*r*_binary64_1382
flip3--_binary64_1446 flip--_binary64_1417
associate-*l*_binary64_1383
pow-prod-down_binary64_1513 prod-exp_binary64_1491 cbrt-unprod_binary64_1475 frac-add_binary64_1450 associate-+l+_binary64_1375
cancel-sign-sub-inv_binary64_1408
*-commutative_binary64_1373 unswap-sqr_binary64_1410 difference-of-squares_binary64_1411 distribute-lft-out--_binary64_1394 sum-log_binary64_1533
diff-log_binary64_1534 flip3-+_binary64_1445 flip-+_binary64_1416 associate-+l-_binary64_1377 sub-neg_binary64_1435 +-commutative_binary64_1372 pow1/2_binary64_1522 sqrt-pow1_binary64_1460 rem-sqrt-square_binary64_1455
Counts
4 → 84
Calls

4 calls:

11.0ms
(+.f64 (-.f64 a 1/3) (*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))))
9.0ms
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
8.0ms
(*.f64 rand (sqrt.f64 (-.f64 a 1/3)))
4.0ms
(sqrt.f64 (-.f64 a 1/3))
Compiler

Compiled 1785 to 1369 computations (23.3% saved)

series368.0ms (5.2%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

121.0ms
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
119.0ms
(+.f64 (-.f64 a 1/3) (*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))))
92.0ms
(*.f64 rand (sqrt.f64 (-.f64 a 1/3)))
18.0ms
(sqrt.f64 (-.f64 a 1/3))
Compiler

Compiled 788 to 671 computations (14.8% saved)

simplify108.0ms (1.5%)

Algorithm
egg-herbie
Rules
389×*-commutative_binary64_1373
380×distribute-rgt-in_binary64_1392
364×distribute-lft-in_binary64_1391
351×cancel-sign-sub-inv_binary64_1408
273×distribute-rgt-out_binary64_1395
238×distribute-rgt-neg-in_binary64_1400
203×distribute-lft-neg-in_binary64_1399
184×neg-mul-1_binary64_1438
176×neg-sub0_binary64_1437
154×associate-*r*_binary64_1382
137×associate-*l*_binary64_1383
123×exp-prod_binary64_1494
107×associate--r+_binary64_1378
87×sub-neg_binary64_1435
84×distribute-rgt-out--_binary64_1396
80×associate-+l+_binary64_1375
72×associate--l+_binary64_1379
67×associate-+r+_binary64_1374
64×associate-+l-_binary64_1377
61×sqr-pow_binary64_1414
60×distribute-neg-in_binary64_1403 distribute-lft-neg-out_binary64_1401
59×log-prod_binary64_1528
58×cube-prod_binary64_1470
55×associate-+r-_binary64_1376
53×unsub-neg_binary64_1436
49×exp-sum_binary64_1488
45×+-commutative_binary64_1372
43×distribute-rgt-neg-out_binary64_1402
37×distribute-lft-out--_binary64_1394
30×swap-sqr_binary64_1409
25×exp-diff_binary64_1490
24×unswap-sqr_binary64_1410
20×*-rgt-identity_binary64_1432
18×associate-/l*_binary64_1387
16×*-lft-identity_binary64_1431
13×associate--r-_binary64_1381
12×associate-/r*_binary64_1386
10×pow-sqr_binary64_1415
distribute-lft-out_binary64_1393
unpow3_binary64_1508 times-frac_binary64_1448
div-exp_binary64_1493 cube-mult_binary64_1472 associate-*r/_binary64_1384
unpow1/3_binary64_1509 div-sub_binary64_1447 remove-double-neg_binary64_1430 sub0-neg_binary64_1429 +-rgt-identity_binary64_1427 associate-/l/_binary64_1389
unpow1/2_binary64_1506 cube-neg_binary64_1469 sqr-neg_binary64_1456 rem-sqrt-square_binary64_1455 associate-/r/_binary64_1388 associate--l-_binary64_1380
pow-plus_binary64_1505 cube-unmult_binary64_1479 difference-of-squares_binary64_1411 distribute-neg-out_binary64_1404
prod-exp_binary64_1491 rem-square-sqrt_binary64_1454 distribute-rgt1-in_binary64_1398 distribute-lft1-in_binary64_1397
unpow2_binary64_1507 1-exp_binary64_1486 exp-1-e_binary64_1485 rem-3cbrt-lft_binary64_1467 --rgt-identity_binary64_1428 count-2_binary64_1390 associate-*l/_binary64_1385
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 pow-base-0_binary64_1526 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 rec-exp_binary64_1492 exp-neg_binary64_1489 e-exp-1_binary64_1487 exp-0_binary64_1484 rem-log-exp_binary64_1483 rem-exp-log_binary64_1482 cube-div_binary64_1471 rem-3cbrt-rft_binary64_1468 rem-cbrt-cube_binary64_1466 rem-cube-cbrt_binary64_1465 sqr-abs_binary64_1457 mul-1-neg_binary64_1434 /-rgt-identity_binary64_1433 +-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 cancel-sign-sub_binary64_1407 distribute-neg-frac_binary64_1406 distribute-frac-neg_binary64_1405
Counts
108 → 69
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01561670
13411610
211051570
328991567
445521567
549341567

prune96.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New67269
Fresh448
Picked011
Done000
Total71778
Error
0b
Counts
78 → 7
Compiler

Compiled 1371 to 1053 computations (23.2% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 a 1/3))
0.1b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 (-.f64 a 1/3)) 3))))
0.2b
(/.f64 rand (*.f64 (sqrt.f64 (-.f64 a 1/3)) 3))
0.3b
(*.f64 (sqrt.f64 (-.f64 a 1/3)) 3)

rewrite184.0ms (2.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
25×add-sqr-sqrt_binary64_1464
20×*-un-lft-identity_binary64_1442
13×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478 associate-*l*_binary64_1383
12×add-cube-cbrt_binary64_1477
11×sqrt-prod_binary64_1458
pow1_binary64_1503
associate-*r*_binary64_1382
flip3--_binary64_1446 sqrt-div_binary64_1459 associate-*l/_binary64_1385 flip--_binary64_1417
add-log-exp_binary64_1481 frac-times_binary64_1452
prod-exp_binary64_1491 cbrt-unprod_binary64_1475 unswap-sqr_binary64_1410 difference-of-squares_binary64_1411 distribute-lft-out--_binary64_1394 times-frac_binary64_1448 associate-/l*_binary64_1387 flip3-+_binary64_1445 flip-+_binary64_1416
pow-prod-down_binary64_1513 *-commutative_binary64_1373 div-exp_binary64_1493 cbrt-undiv_binary64_1476 associate-/r/_binary64_1388 associate-*r/_binary64_1384
frac-2neg_binary64_1453 clear-num_binary64_1441 div-inv_binary64_1439 associate-/r*_binary64_1386 distribute-rgt-in_binary64_1392 distribute-lft-in_binary64_1391 distribute-lft-out_binary64_1393 pow1/2_binary64_1522 sqrt-pow1_binary64_1460 rem-sqrt-square_binary64_1455
Counts
4 → 97
Calls

4 calls:

16.0ms
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 (-.f64 a 1/3)) 3))))
8.0ms
(*.f64 (sqrt.f64 (-.f64 a 1/3)) 3)
8.0ms
(/.f64 rand (*.f64 (sqrt.f64 (-.f64 a 1/3)) 3))
4.0ms
(sqrt.f64 (-.f64 a 1/3))
Compiler

Compiled 2282 to 1820 computations (20.2% saved)

series426.0ms (6%)

Error
0b
Counts
4 → 21
Calls

4 calls:

217.0ms
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 (-.f64 a 1/3)) 3))))
151.0ms
(/.f64 rand (*.f64 (sqrt.f64 (-.f64 a 1/3)) 3))
25.0ms
(*.f64 (sqrt.f64 (-.f64 a 1/3)) 3)
17.0ms
(sqrt.f64 (-.f64 a 1/3))
Compiler

Compiled 805 to 703 computations (12.7% saved)

simplify126.0ms (1.8%)

Algorithm
egg-herbie
Rules
892×times-frac_binary64_1448
650×distribute-rgt-in_binary64_1392
632×distribute-lft-in_binary64_1391
130×associate-*l*_binary64_1383
105×associate-*r*_binary64_1382
92×*-commutative_binary64_1373
48×cancel-sign-sub-inv_binary64_1408
47×associate-/r*_binary64_1386
42×associate-/l*_binary64_1387 associate-*l/_binary64_1385
40×log-prod_binary64_1528 associate-*r/_binary64_1384
32×exp-prod_binary64_1494
31×*-lft-identity_binary64_1431
29×sub-neg_binary64_1435
28×sqr-pow_binary64_1414
26×log-div_binary64_1529
25×*-rgt-identity_binary64_1432 +-commutative_binary64_1372
22×distribute-rgt-neg-in_binary64_1400
21×unswap-sqr_binary64_1410
18×distribute-neg-frac_binary64_1406
16×cube-prod_binary64_1470
15×distribute-lft-neg-in_binary64_1399 distribute-rgt-out_binary64_1395
14×swap-sqr_binary64_1409
11×exp-sum_binary64_1488 cube-div_binary64_1471 neg-mul-1_binary64_1438 neg-sub0_binary64_1437 distribute-lft-neg-out_binary64_1401
10×unpow3_binary64_1508 exp-cbrt_binary64_1496
distribute-rgt-neg-out_binary64_1402
/-rgt-identity_binary64_1433 associate-+l+_binary64_1375
associate-/r/_binary64_1388
log-rec_binary64_1530 div-sub_binary64_1447
cube-unmult_binary64_1479 cube-mult_binary64_1472 distribute-neg-in_binary64_1403 associate-+l-_binary64_1377
unpow1/2_binary64_1506 pow-plus_binary64_1505 pow-sqr_binary64_1415 distribute-rgt-out--_binary64_1396
exp-diff_binary64_1490 rem-sqrt-square_binary64_1455 unsub-neg_binary64_1436 distribute-rgt1-in_binary64_1398 distribute-lft-out_binary64_1393 associate--l+_binary64_1379 associate--r+_binary64_1378 associate-+r+_binary64_1374
exp-lft-cube_binary64_1498 prod-exp_binary64_1491 1-exp_binary64_1486 exp-1-e_binary64_1485 rem-square-sqrt_binary64_1454 associate-/l/_binary64_1389 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 pow-base-0_binary64_1526 unpow1/3_binary64_1509 unpow2_binary64_1507 exp-to-pow_binary64_1504 pow-base-1_binary64_1502 unpow0_binary64_1501 unpow1_binary64_1500 unpow-1_binary64_1499 exp-lft-sqr_binary64_1497 exp-sqrt_binary64_1495 div-exp_binary64_1493 rec-exp_binary64_1492 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 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-frac-neg_binary64_1405 distribute-neg-out_binary64_1404 distribute-lft1-in_binary64_1397 distribute-lft-out--_binary64_1394 count-2_binary64_1390 associate--r-_binary64_1381 associate--l-_binary64_1380
Counts
118 → 95
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01832046
14541895
215211886
349491886
449991886
549341886

prune127.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New95095
Fresh055
Picked011
Done011
Total957102
Error
0b
Counts
102 → 7
Compiler

Compiled 2044 to 1625 computations (20.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))
0.1b
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
0.2b
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)
0.3b
(/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3)))))

rewrite333.0ms (4.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
40×add-sqr-sqrt_binary64_1464
29×*-un-lft-identity_binary64_1442
28×times-frac_binary64_1448
26×associate-*l*_binary64_1383
24×add-cube-cbrt_binary64_1477
19×add-exp-log_binary64_1480
15×pow1_binary64_1503
13×add-cbrt-cube_binary64_1478
sqrt-prod_binary64_1458 associate-*r/_binary64_1384
flip3--_binary64_1446 sqrt-div_binary64_1459 flip--_binary64_1417 associate-*r*_binary64_1382
prod-exp_binary64_1491
pow-flip_binary64_1516 pow-prod-down_binary64_1513 sqrt-pow1_binary64_1460 div-exp_binary64_1493 add-log-exp_binary64_1481 associate-/r/_binary64_1388 associate-/r*_binary64_1386 unswap-sqr_binary64_1410 frac-times_binary64_1452
div-inv_binary64_1439 associate-/l*_binary64_1387 cbrt-unprod_binary64_1475 associate-*l/_binary64_1385 flip3-+_binary64_1445 flip-+_binary64_1416 difference-of-squares_binary64_1411
pow1/2_binary64_1522 1-exp_binary64_1486 rec-exp_binary64_1492 cbrt-undiv_binary64_1476 *-commutative_binary64_1373 distribute-lft-out--_binary64_1394
inv-pow_binary64_1527 frac-2neg_binary64_1453 clear-num_binary64_1441 distribute-rgt-in_binary64_1392 distribute-lft-in_binary64_1391
Counts
4 → 126
Calls

4 calls:

18.0ms
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)
14.0ms
(/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3)))))
13.0ms
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
9.0ms
(sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))
Compiler

Compiled 4077 to 3510 computations (13.9% saved)

series450.0ms (6.3%)

Error
0b
Counts
4 → 21
Calls

4 calls:

221.0ms
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
159.0ms
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)
30.0ms
(/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3)))))
24.0ms
(sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))
Compiler

Compiled 891 to 784 computations (12% saved)

simplify144.0ms (2%)

Algorithm
egg-herbie
Rules
646×distribute-rgt-in_binary64_1392
631×distribute-lft-in_binary64_1391
296×associate-*l/_binary64_1385
239×associate-*r/_binary64_1384
184×times-frac_binary64_1448
168×associate-*l*_binary64_1383
158×associate-*r*_binary64_1382
150×*-lft-identity_binary64_1431
145×*-rgt-identity_binary64_1432
136×associate-/l*_binary64_1387
111×*-commutative_binary64_1373
107×sub-neg_binary64_1435
89×exp-prod_binary64_1494
76×associate-/r*_binary64_1386
63×sqr-pow_binary64_1414
59×div-sub_binary64_1447
56×unswap-sqr_binary64_1410
55×neg-mul-1_binary64_1438 neg-sub0_binary64_1437
54×exp-sum_binary64_1488
47×cancel-sign-sub-inv_binary64_1408
46×unsub-neg_binary64_1436
35×distribute-rgt-neg-in_binary64_1400
28×+-commutative_binary64_1372
23×associate-/r/_binary64_1388
22×/-rgt-identity_binary64_1433 distribute-lft-neg-in_binary64_1399
21×distribute-rgt-out_binary64_1395
20×associate-/l/_binary64_1389
15×distribute-lft-neg-out_binary64_1401
14×cube-prod_binary64_1470 distribute-neg-frac_binary64_1406
13×log-prod_binary64_1528
11×swap-sqr_binary64_1409 distribute-rgt-neg-out_binary64_1402
10×log-div_binary64_1529 rem-sqrt-square_binary64_1455
pow-sqr_binary64_1415
unpow1/2_binary64_1506 cube-div_binary64_1471 associate-+l+_binary64_1375
exp-diff_binary64_1490 distribute-rgt-out--_binary64_1396
unpow3_binary64_1508 associate-+l-_binary64_1377 associate-+r+_binary64_1374
associate-+r-_binary64_1376
cube-unmult_binary64_1479 cube-mult_binary64_1472 distribute-lft-out_binary64_1393
distribute-neg-in_binary64_1403
log-rec_binary64_1530 +-rgt-identity_binary64_1427 distribute-rgt1-in_binary64_1398 distribute-lft-out--_binary64_1394 associate--l+_binary64_1379
pow-plus_binary64_1505 div-exp_binary64_1493 prod-exp_binary64_1491 1-exp_binary64_1486 exp-1-e_binary64_1485 rem-square-sqrt_binary64_1454 mul-1-neg_binary64_1434 remove-double-neg_binary64_1430 sub0-neg_binary64_1429 +-lft-identity_binary64_1426 count-2_binary64_1390
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 pow-base-0_binary64_1526 unpow1/3_binary64_1509 unpow2_binary64_1507 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 rec-exp_binary64_1492 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 --rgt-identity_binary64_1428 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-frac-neg_binary64_1405 distribute-neg-out_binary64_1404 distribute-lft1-in_binary64_1397 associate--r-_binary64_1381 associate--l-_binary64_1380 associate--r+_binary64_1378
Counts
147 → 127
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02052729
14972529
215622517
345462517
447852517
549652517

prune197.0ms (2.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh044
Picked011
Done022
Total1277134
Error
0b
Counts
134 → 7
Compiler

Compiled 3066 to 2549 computations (16.9% saved)

regimes627.0ms (8.8%)

Accuracy

Total 0.1b remaining (98.5%)

Threshold costs 0.1b (98.5%)

Compiler

Compiled 6186 to 5486 computations (11.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64_1373
+-commutative_binary64_1372
sub-neg_binary64_1435
1-exp_binary64_1486 neg-mul-1_binary64_1438 neg-sub0_binary64_1437 *-lft-identity_binary64_1431
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64_1702 if-if-and_binary64_1701 if-if-or-not_binary64_1700 if-if-or_binary64_1699 if-not_binary64_1698 if-same_binary64_1697 if-false_binary64_1696 if-true_binary64_1695 tan-0_binary64_1571 cos-0_binary64_1570 sin-0_binary64_1569 unpow1_binary64_1500 e-exp-1_binary64_1487 exp-1-e_binary64_1485 exp-0_binary64_1484 sqr-abs_binary64_1457 sqr-neg_binary64_1456 unsub-neg_binary64_1436 mul-1-neg_binary64_1434 /-rgt-identity_binary64_1433 *-rgt-identity_binary64_1432 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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01324
12124
22524
32724
42824
52724

end0.0ms (0%)

sample2.3s (32.1%)

Algorithm
intervals
Results
458.0ms8000×body128valid
14.0ms271×body128nan
13.0ms232×body128invalid
Compiler

Compiled 1570 to 1393 computations (11.3% saved)

Profiling

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