Details

Time bar (total: 1.2min)

analyze10.3s (14.5%)

Algorithm
search
egg-herbie
Rules
395×associate-/l/_binary64_1389
281×neg-mul-1_binary64_1438
225×distribute-neg-frac_binary64_1406
202×distribute-rgt-in_binary64_1392 distribute-lft-in_binary64_1391
193×associate-*r/_binary64_1384
179×distribute-rgt-neg-in_binary64_1400
170×*-commutative_binary64_1373
161×associate-*l*_binary64_1383
160×associate-*l/_binary64_1385
157×distribute-lft-neg-in_binary64_1399
148×associate-/l*_binary64_1387
118×associate-*r*_binary64_1382
106×cancel-sign-sub-inv_binary64_1408
92×swap-sqr_binary64_1409
87×sqr-pow_binary64_1414
84×neg-sub0_binary64_1437
62×unswap-sqr_binary64_1410
53×sub-neg_binary64_1435
38×distribute-lft-neg-out_binary64_1401
37×+-commutative_binary64_1372
33×times-frac_binary64_1448 div-sub_binary64_1447
29×unpow2_binary64_1507 unpow1/2_binary64_1506 unpow1_binary64_1500 rem-sqrt-square_binary64_1455
16×difference-of-squares_binary64_1411
11×associate-/r/_binary64_1388
10×associate-/r*_binary64_1386
distribute-rgt-neg-out_binary64_1402
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 pow-plus_binary64_1505 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-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-square-sqrt_binary64_1454 unsub-neg_binary64_1436 mul-1-neg_binary64_1434 /-rgt-identity_binary64_1433 *-rgt-identity_binary64_1432 *-lft-identity_binary64_1431 remove-double-neg_binary64_1430 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 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-neg-in_binary64_1403 distribute-rgt1-in_binary64_1398 distribute-lft1-in_binary64_1397 distribute-rgt-out--_binary64_1396 distribute-rgt-out_binary64_1395 distribute-lft-out--_binary64_1394 distribute-lft-out_binary64_1393 count-2_binary64_1390 associate--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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02491925
17101925
224411925
348741925
451411925
055
155
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
6.2%93.5%0.2%11
6.2%93.5%0.2%12
7.8%92%0.2%13
8.6%91.2%0.2%14
Compiler

Compiled 110 to 84 computations (23.6% saved)

sample1.2s (1.7%)

Algorithm
intervals
Results
256.0ms38×body4096valid
227.0ms60×body2048valid
189.0ms31×body4096invalid
181.0ms45×body2048invalid
78.0ms31×body1024valid
55.0ms107×body128valid
54.0ms22×body1024invalid
41.0msbody8192valid
18.0ms11×body512invalid
15.0ms30×body128invalid
15.0msbody512valid
14.0msbody256valid
2.0msbody256invalid
Compiler

Compiled 219 to 172 computations (21.5% saved)

simplify31.0ms (0%)

Algorithm
egg-herbie
Rules
600×associate-/l/_binary64_1389
540×associate-/r*_binary64_1386
529×associate-/r/_binary64_1388
263×distribute-rgt-in_binary64_1392
260×distribute-lft-in_binary64_1391
145×associate-*l*_binary64_1383
138×associate-*r*_binary64_1382
112×associate-/l*_binary64_1387
103×associate-*r/_binary64_1384
99×associate-*l/_binary64_1385
83×distribute-neg-frac_binary64_1406
65×swap-sqr_binary64_1409
55×times-frac_binary64_1448 distribute-rgt-neg-in_binary64_1400
52×unswap-sqr_binary64_1410
50×*-commutative_binary64_1373
46×distribute-lft-neg-in_binary64_1399
44×div-sub_binary64_1447
43×cancel-sign-sub-inv_binary64_1408
26×neg-sub0_binary64_1437
25×distribute-lft-neg-out_binary64_1401
24×neg-mul-1_binary64_1438 sqr-pow_binary64_1414
19×sub-neg_binary64_1435
18×distribute-rgt-neg-out_binary64_1402
16×distribute-neg-in_binary64_1403
unpow2_binary64_1507 unpow1/2_binary64_1506 pow-plus_binary64_1505 unpow1_binary64_1500 cube-unmult_binary64_1479 rem-sqrt-square_binary64_1455
+-commutative_binary64_1372
difference-of-squares_binary64_1411
unsub-neg_binary64_1436 sub0-neg_binary64_1429 +-rgt-identity_binary64_1427 associate-+l-_binary64_1377 associate-+r-_binary64_1376
1-exp_binary64_1486 distribute-frac-neg_binary64_1405
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 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-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-square-sqrt_binary64_1454 mul-1-neg_binary64_1434 /-rgt-identity_binary64_1433 *-rgt-identity_binary64_1432 *-lft-identity_binary64_1431 remove-double-neg_binary64_1430 --rgt-identity_binary64_1428 +-lft-identity_binary64_1426 mul0-rgt_binary64_1425 mul0-lft_binary64_1424 div0_binary64_1423 *-inverses_binary64_1422 +-inverses_binary64_1421 lft-mult-inverse_binary64_1420 rgt-mult-inverse_binary64_1419 remove-double-div_binary64_1418 pow-sqr_binary64_1415 difference-of-sqr--1_binary64_1413 difference-of-sqr-1_binary64_1412 cancel-sign-sub_binary64_1407 distribute-neg-out_binary64_1404 distribute-rgt1-in_binary64_1398 distribute-lft1-in_binary64_1397 distribute-rgt-out--_binary64_1396 distribute-rgt-out_binary64_1395 distribute-lft-out--_binary64_1394 distribute-lft-out_binary64_1393 count-2_binary64_1390 associate--r-_binary64_1381 associate--l-_binary64_1380 associate--l+_binary64_1379 associate--r+_binary64_1378 associate-+l+_binary64_1375 associate-+r+_binary64_1374
Counts
1 → 1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040175
1103175
2310175
31387172
45232172

prune16.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
41.2b
Counts
2 → 2
Compiler

Compiled 323 to 229 computations (29.1% saved)

localize49.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.8b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.8b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.8b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
30.1b
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale)) (*.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)))

rewrite448.0ms (0.6%)

Algorithm
rewrite-expression-head
Error
37.3b
Rules
15×associate-*r/_binary64_1384
frac-sub_binary64_1451
associate-*l/_binary64_1385
add-log-exp_binary64_1481 frac-times_binary64_1452
pow1_binary64_1503 add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478 add-cube-cbrt_binary64_1477 add-sqr-sqrt_binary64_1464 *-un-lft-identity_binary64_1442
sub-div_binary64_1449
diff-log_binary64_1534 flip3--_binary64_1446 sub-neg_binary64_1435 flip--_binary64_1417 cancel-sign-sub-inv_binary64_1408
Counts
4 → 44
Calls

4 calls:

44.0ms
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale)) (*.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 6110 to 4322 computations (29.3% saved)

series7.9s (11.1%)

Error
35.1b
Counts
4 → 24
Calls

4 calls:

7.6s
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale)) (*.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)))
44.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
43.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
42.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 6565 to 5069 computations (22.8% saved)

simplify196.0ms (0.3%)

Algorithm
egg-herbie
Rules
250×distribute-rgt-in_binary64_1392
242×distribute-lft-in_binary64_1391
216×associate-*r*_binary64_1382
193×unswap-sqr_binary64_1410
186×cancel-sign-sub-inv_binary64_1408
184×distribute-rgt-neg-in_binary64_1400
178×times-frac_binary64_1448
169×associate-*l*_binary64_1383
163×associate-/l*_binary64_1387
156×associate-*l/_binary64_1385
152×distribute-lft-neg-in_binary64_1399
148×*-commutative_binary64_1373
135×associate-*r/_binary64_1384
114×associate-/r*_binary64_1386
92×distribute-neg-frac_binary64_1406
81×unpow3_binary64_1508
67×sqr-pow_binary64_1414
53×distribute-lft-out_binary64_1393
52×neg-sub0_binary64_1437
51×cube-div_binary64_1471
44×+-commutative_binary64_1372
43×cube-prod_binary64_1470
42×sub-neg_binary64_1435
41×neg-mul-1_binary64_1438 distribute-rgt-out_binary64_1395
40×distribute-neg-in_binary64_1403
39×distribute-lft-neg-out_binary64_1401
35×swap-sqr_binary64_1409
33×mul-1-neg_binary64_1434
29×exp-prod_binary64_1494
17×associate-/r/_binary64_1388
16×cube-mult_binary64_1472
15×associate-/l/_binary64_1389
12×associate-+l+_binary64_1375 associate-+r+_binary64_1374
10×unpow2_binary64_1507 unpow1/2_binary64_1506 unpow1_binary64_1500
distribute-rgt-neg-out_binary64_1402
difference-of-squares_binary64_1411
cube-unmult_binary64_1479
pow-plus_binary64_1505 div-sub_binary64_1447
exp-sum_binary64_1488 unsub-neg_binary64_1436 pow-sqr_binary64_1415 distribute-rgt-out--_binary64_1396
exp-diff_binary64_1490 distribute-frac-neg_binary64_1405
div-exp_binary64_1493 1-exp_binary64_1486 +-rgt-identity_binary64_1427 distribute-lft-out--_binary64_1394 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 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 rec-exp_binary64_1492 prod-exp_binary64_1491 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-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 /-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 +-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-out_binary64_1404 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 associate-+l-_binary64_1377
Counts
68 → 51
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01947485
16046792
226826456
349916456
450676456

prune360.0ms (0.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New401151
Fresh101
Picked101
Done000
Total421153
Error
34.2b
Counts
53 → 11
Compiler

Compiled 6659 to 4183 computations (37.2% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.7b
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
27.7b
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
28.1b
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
28.1b
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))

rewrite111.0ms (0.2%)

Algorithm
rewrite-expression-head
Error
34.2b
Rules
pow1_binary64_1503 add-log-exp_binary64_1481 add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478 add-cube-cbrt_binary64_1477 add-sqr-sqrt_binary64_1464 *-un-lft-identity_binary64_1442
Counts
4 → 28
Calls

4 calls:

3.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
3.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
3.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
3.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
Compiler

Compiled 2100 to 1018 computations (51.5% saved)

series169.0ms (0.2%)

Error
34.2b
Counts
4 → 12
Calls

4 calls:

36.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
34.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
34.0ms
(sin.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
32.0ms
(cos.f64 (*.f64 1/180 (*.f64 angle PI.f64)))
Compiler

Compiled 2452 to 1480 computations (39.6% saved)

simplify209.0ms (0.3%)

Algorithm
egg-herbie
Rules
1304×sqr-pow_binary64_1414
724×unswap-sqr_binary64_1410
614×pow-sqr_binary64_1415
326×cube-prod_binary64_1470
313×associate-*l*_binary64_1383
281×*-commutative_binary64_1373
226×unpow3_binary64_1508
216×cube-mult_binary64_1472
183×associate-*r*_binary64_1382
96×pow-plus_binary64_1505
32×rem-sqrt-square_binary64_1455
18×cube-unmult_binary64_1479
12×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 log-div_binary64_1529 log-prod_binary64_1528 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 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-div_binary64_1471 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 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 difference-of-sqr--1_binary64_1413 difference-of-sqr-1_binary64_1412 difference-of-squares_binary64_1411 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--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_1372
Counts
40 → 4
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023578
131494
240494
347494
454494
569494
6106494
7207494
8551494
91147494
101286494
111549494
121854494
132264494
142827494
153286494
163590494
173706494
183726494
193730494
203730494
214527494
225187494

prune55.0ms (0.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New404
Fresh01010
Picked011
Done000
Total41115
Error
34.2b
Counts
15 → 11
Compiler

Compiled 1197 to 799 computations (33.2% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 -4 (/.f64 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale))))
14.6b
(*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale))
15.6b
(*.f64 (*.f64 a a) (*.f64 b b))
19.7b
(/.f64 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)))

rewrite350.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
15.2b
Rules
315×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
202×prod-exp_binary64_1491 cbrt-unprod_binary64_1475
62×pow1_binary64_1503
50×div-exp_binary64_1493 cbrt-undiv_binary64_1476
29×pow-prod-down_binary64_1513
add-sqr-sqrt_binary64_1464 pow-prod-up_binary64_1512 pow-plus_binary64_1505
associate-*r*_binary64_1382
add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
associate-*l*_binary64_1383
add-log-exp_binary64_1481 pow2_binary64_1523 pow-sqr_binary64_1415
unswap-sqr_binary64_1410 *-commutative_binary64_1373
times-frac_binary64_1448 div-inv_binary64_1439
frac-2neg_binary64_1453 clear-num_binary64_1441 associate-/l*_binary64_1387 associate-/r*_binary64_1386 associate-*r/_binary64_1384
Counts
4 → 192
Calls

4 calls:

26.0ms
(*.f64 -4 (/.f64 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale))))
20.0ms
(/.f64 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)))
8.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
8.0ms
(*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale))
Compiler

Compiled 5975 to 992 computations (83.4% saved)

series1.4s (2%)

Error
34.2b
Counts
4 → 36
Calls

4 calls:

627.0ms
(*.f64 -4 (/.f64 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale))))
552.0ms
(/.f64 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale)))
113.0ms
(*.f64 (*.f64 x-scale x-scale) (*.f64 y-scale y-scale))
106.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
Compiler

Compiled 1836 to 1667 computations (9.2% saved)

simplify177.0ms (0.3%)

Algorithm
egg-herbie
Rules
706×associate-/l/_binary64_1389
607×times-frac_binary64_1448
289×log-div_binary64_1529
213×associate-/r*_binary64_1386
212×associate-*l*_binary64_1383
206×unswap-sqr_binary64_1410
202×associate-/l*_binary64_1387
196×associate-*r*_binary64_1382
119×log-prod_binary64_1528
112×*-commutative_binary64_1373
84×exp-prod_binary64_1494
83×associate-*r/_binary64_1384
70×sub-neg_binary64_1435
62×swap-sqr_binary64_1409
61×cube-prod_binary64_1470
55×associate-*l/_binary64_1385
51×cancel-sign-sub-inv_binary64_1408
45×distribute-rgt-neg-in_binary64_1400 distribute-lft-neg-in_binary64_1399
42×sqr-pow_binary64_1414
32×+-commutative_binary64_1372
31×cube-div_binary64_1471
26×associate-+r-_binary64_1376
24×associate--l+_binary64_1379
23×neg-mul-1_binary64_1438 neg-sub0_binary64_1437
20×associate--r+_binary64_1378
15×distribute-neg-in_binary64_1403
14×associate-+l+_binary64_1375
13×associate-+r+_binary64_1374
12×associate-/r/_binary64_1388
11×pow-sqr_binary64_1415
10×cube-unmult_binary64_1479
log-pow_binary64_1531 pow-plus_binary64_1505
unsub-neg_binary64_1436 distribute-rgt-in_binary64_1392
distribute-lft-out--_binary64_1394
unpow2_binary64_1507 unpow1/2_binary64_1506 unpow1_binary64_1500 rem-sqrt-square_binary64_1455 distribute-lft-out_binary64_1393 count-2_binary64_1390
distribute-rgt-out--_binary64_1396
distribute-rgt-neg-out_binary64_1402 distribute-lft-neg-out_binary64_1401 distribute-rgt-out_binary64_1395 associate-+l-_binary64_1377
1-exp_binary64_1486 distribute-lft-in_binary64_1391
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_1705 erf-erfc_binary64_1704 erf-odd_binary64_1703 if-if-and-not_binary64_1702 if-if-and_binary64_1701 if-if-or-not_binary64_1700 if-if-or_binary64_1699 if-not_binary64_1698 if-same_binary64_1697 if-false_binary64_1696 if-true_binary64_1695 not-gte_binary64_1694 not-lte_binary64_1693 not-gt_binary64_1692 not-lt_binary64_1691 gte-same_binary64_1690 lte-same_binary64_1689 gt-same_binary64_1688 lt-same_binary64_1687 sinh---cosh_binary64_1634 sinh-+-cosh_binary64_1633 sinh-cosh_binary64_1632 tanh-def-c_binary64_1631 tanh-def-b_binary64_1630 tanh-def-a_binary64_1629 cosh-def_binary64_1628 sinh-def_binary64_1627 tan-neg_binary64_1574 cos-neg_binary64_1573 sin-neg_binary64_1572 tan-0_binary64_1571 cos-0_binary64_1570 sin-0_binary64_1569 hang-m-tan_binary64_1568 hang-p-tan_binary64_1567 hang-m0-tan_binary64_1566 hang-p0-tan_binary64_1565 hang-0m-tan_binary64_1564 hang-0p-tan_binary64_1563 tan-+PI/2_binary64_1562 tan-+PI_binary64_1561 tan-PI_binary64_1560 tan-PI/3_binary64_1559 tan-PI/4_binary64_1558 tan-PI/6_binary64_1557 cos-+PI/2_binary64_1556 cos-+PI_binary64_1555 cos-PI_binary64_1554 cos-PI/2_binary64_1553 cos-PI/3_binary64_1552 cos-PI/4_binary64_1551 cos-PI/6_binary64_1550 sin-+PI/2_binary64_1549 sin-+PI_binary64_1548 sin-PI_binary64_1547 sin-PI/2_binary64_1546 sin-PI/3_binary64_1545 sin-PI/4_binary64_1544 sin-PI/6_binary64_1543 sub-1-sin_binary64_1542 sub-1-cos_binary64_1541 -1-add-sin_binary64_1540 -1-add-cos_binary64_1539 1-sub-sin_binary64_1538 1-sub-cos_binary64_1537 cos-sin-sum_binary64_1536 log-E_binary64_1532 log-rec_binary64_1530 pow-base-0_binary64_1526 unpow1/3_binary64_1509 unpow3_binary64_1508 exp-to-pow_binary64_1504 pow-base-1_binary64_1502 unpow0_binary64_1501 unpow-1_binary64_1499 exp-lft-cube_binary64_1498 exp-lft-sqr_binary64_1497 exp-cbrt_binary64_1496 exp-sqrt_binary64_1495 div-exp_binary64_1493 rec-exp_binary64_1492 prod-exp_binary64_1491 exp-diff_binary64_1490 exp-neg_binary64_1489 exp-sum_binary64_1488 e-exp-1_binary64_1487 exp-1-e_binary64_1485 exp-0_binary64_1484 rem-log-exp_binary64_1483 rem-exp-log_binary64_1482 cube-mult_binary64_1472 cube-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 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 difference-of-sqr--1_binary64_1413 difference-of-sqr-1_binary64_1412 difference-of-squares_binary64_1411 cancel-sign-sub_binary64_1407 distribute-neg-frac_binary64_1406 distribute-frac-neg_binary64_1405 distribute-neg-out_binary64_1404 distribute-rgt1-in_binary64_1398 distribute-lft1-in_binary64_1397 associate--r-_binary64_1381 associate--l-_binary64_1380
Counts
228 → 181
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02277392
13724682
226114096
349093990
451543990

prune215.0ms (0.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1756181
Fresh639
Picked101
Done101
Total1839192
Error
7.2b
Counts
192 → 9
Compiler

Compiled 3469 to 1685 computations (51.4% saved)

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 -4 (*.f64 (fabs.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale))) (fabs.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale)))))
0.3b
(*.f64 (fabs.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale))) (fabs.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale))))
10.1b
(/.f64 (*.f64 a b) (*.f64 x-scale y-scale))
10.1b
(/.f64 (*.f64 a b) (*.f64 x-scale y-scale))

rewrite153.0ms (0.2%)

Algorithm
rewrite-expression-head
Error
7.0b
Rules
35×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
16×pow1_binary64_1503
12×prod-exp_binary64_1491 cbrt-unprod_binary64_1475 add-sqr-sqrt_binary64_1464
add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
div-exp_binary64_1493 cbrt-undiv_binary64_1476
associate-*l*_binary64_1383
add-log-exp_binary64_1481 pow-prod-down_binary64_1513 associate-*r*_binary64_1382
swap-sqr_binary64_1409
frac-2neg_binary64_1453 times-frac_binary64_1448 clear-num_binary64_1441 div-inv_binary64_1439 associate-/l*_binary64_1387 associate-/r*_binary64_1386 unswap-sqr_binary64_1410 *-commutative_binary64_1373
pow2_binary64_1523 pow-prod-up_binary64_1512 pow-plus_binary64_1505 sqr-abs_binary64_1457 pow-sqr_binary64_1415
Counts
4 → 87
Calls

4 calls:

8.0ms
(/.f64 (*.f64 a b) (*.f64 x-scale y-scale))
5.0ms
(/.f64 (*.f64 a b) (*.f64 x-scale y-scale))
5.0ms
(*.f64 -4 (*.f64 (fabs.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale))) (fabs.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale)))))
4.0ms
(*.f64 (fabs.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale))) (fabs.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale))))
Compiler

Compiled 2445 to 458 computations (81.3% saved)

series1.2s (1.7%)

Error
7.2b
Counts
4 → 48
Calls

4 calls:

328.0ms
(*.f64 -4 (*.f64 (fabs.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale))) (fabs.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale)))))
300.0ms
(/.f64 (*.f64 a b) (*.f64 x-scale y-scale))
296.0ms
(/.f64 (*.f64 a b) (*.f64 x-scale y-scale))
216.0ms
(*.f64 (fabs.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale))) (fabs.f64 (/.f64 (*.f64 a b) (*.f64 x-scale y-scale))))
Compiler

Compiled 2232 to 1354 computations (39.3% saved)

simplify98.0ms (0.1%)

Algorithm
egg-herbie
Rules
919×associate-*l/_binary64_1385
613×associate-/r*_binary64_1386
346×*-commutative_binary64_1373
266×log-div_binary64_1529
262×cube-div_binary64_1471
221×associate-/l/_binary64_1389
189×log-prod_binary64_1528
181×times-frac_binary64_1448
123×associate-*l*_binary64_1383
120×associate-*r*_binary64_1382
117×exp-prod_binary64_1494
113×associate-/r/_binary64_1388
87×swap-sqr_binary64_1409 associate-/l*_binary64_1387
60×unpow3_binary64_1508
59×cube-mult_binary64_1472
51×unswap-sqr_binary64_1410
41×cube-prod_binary64_1470
35×associate-*r/_binary64_1384
26×sqr-pow_binary64_1414
23×sub-neg_binary64_1435
21×associate-+l+_binary64_1375
18×associate-+r+_binary64_1374
16×+-commutative_binary64_1372
11×pow-plus_binary64_1505 cube-unmult_binary64_1479
10×associate-+l-_binary64_1377
neg-mul-1_binary64_1438 neg-sub0_binary64_1437 associate--r+_binary64_1378
associate--l+_binary64_1379
pow-sqr_binary64_1415 associate-+r-_binary64_1376
log-pow_binary64_1531 *-rgt-identity_binary64_1432
distribute-rgt-in_binary64_1392
*-lft-identity_binary64_1431 distribute-rgt-neg-in_binary64_1400 distribute-lft-neg-in_binary64_1399
rem-sqrt-square_binary64_1455 unsub-neg_binary64_1436 distribute-lft-in_binary64_1391 count-2_binary64_1390
unpow1/2_binary64_1506 cancel-sign-sub-inv_binary64_1408 distribute-neg-in_binary64_1403
unpow2_binary64_1507 unpow1_binary64_1500 1-exp_binary64_1486 exp-1-e_binary64_1485 rem-3cbrt-rft_binary64_1468 rem-3cbrt-lft_binary64_1467 sqr-abs_binary64_1457 rem-square-sqrt_binary64_1454
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64_1705 erf-erfc_binary64_1704 erf-odd_binary64_1703 if-if-and-not_binary64_1702 if-if-and_binary64_1701 if-if-or-not_binary64_1700 if-if-or_binary64_1699 if-not_binary64_1698 if-same_binary64_1697 if-false_binary64_1696 if-true_binary64_1695 not-gte_binary64_1694 not-lte_binary64_1693 not-gt_binary64_1692 not-lt_binary64_1691 gte-same_binary64_1690 lte-same_binary64_1689 gt-same_binary64_1688 lt-same_binary64_1687 sinh---cosh_binary64_1634 sinh-+-cosh_binary64_1633 sinh-cosh_binary64_1632 tanh-def-c_binary64_1631 tanh-def-b_binary64_1630 tanh-def-a_binary64_1629 cosh-def_binary64_1628 sinh-def_binary64_1627 tan-neg_binary64_1574 cos-neg_binary64_1573 sin-neg_binary64_1572 tan-0_binary64_1571 cos-0_binary64_1570 sin-0_binary64_1569 hang-m-tan_binary64_1568 hang-p-tan_binary64_1567 hang-m0-tan_binary64_1566 hang-p0-tan_binary64_1565 hang-0m-tan_binary64_1564 hang-0p-tan_binary64_1563 tan-+PI/2_binary64_1562 tan-+PI_binary64_1561 tan-PI_binary64_1560 tan-PI/3_binary64_1559 tan-PI/4_binary64_1558 tan-PI/6_binary64_1557 cos-+PI/2_binary64_1556 cos-+PI_binary64_1555 cos-PI_binary64_1554 cos-PI/2_binary64_1553 cos-PI/3_binary64_1552 cos-PI/4_binary64_1551 cos-PI/6_binary64_1550 sin-+PI/2_binary64_1549 sin-+PI_binary64_1548 sin-PI_binary64_1547 sin-PI/2_binary64_1546 sin-PI/3_binary64_1545 sin-PI/4_binary64_1544 sin-PI/6_binary64_1543 sub-1-sin_binary64_1542 sub-1-cos_binary64_1541 -1-add-sin_binary64_1540 -1-add-cos_binary64_1539 1-sub-sin_binary64_1538 1-sub-cos_binary64_1537 cos-sin-sum_binary64_1536 log-E_binary64_1532 log-rec_binary64_1530 pow-base-0_binary64_1526 unpow1/3_binary64_1509 exp-to-pow_binary64_1504 pow-base-1_binary64_1502 unpow0_binary64_1501 unpow-1_binary64_1499 exp-lft-cube_binary64_1498 exp-lft-sqr_binary64_1497 exp-cbrt_binary64_1496 exp-sqrt_binary64_1495 div-exp_binary64_1493 rec-exp_binary64_1492 prod-exp_binary64_1491 exp-diff_binary64_1490 exp-neg_binary64_1489 exp-sum_binary64_1488 e-exp-1_binary64_1487 exp-0_binary64_1484 rem-log-exp_binary64_1483 rem-exp-log_binary64_1482 cube-neg_binary64_1469 rem-cbrt-cube_binary64_1466 rem-cube-cbrt_binary64_1465 sqr-neg_binary64_1456 div-sub_binary64_1447 mul-1-neg_binary64_1434 /-rgt-identity_binary64_1433 remove-double-neg_binary64_1430 sub0-neg_binary64_1429 --rgt-identity_binary64_1428 +-rgt-identity_binary64_1427 +-lft-identity_binary64_1426 mul0-rgt_binary64_1425 mul0-lft_binary64_1424 div0_binary64_1423 *-inverses_binary64_1422 +-inverses_binary64_1421 lft-mult-inverse_binary64_1420 rgt-mult-inverse_binary64_1419 remove-double-div_binary64_1418 difference-of-sqr--1_binary64_1413 difference-of-sqr-1_binary64_1412 difference-of-squares_binary64_1411 cancel-sign-sub_binary64_1407 distribute-neg-frac_binary64_1406 distribute-frac-neg_binary64_1405 distribute-neg-out_binary64_1404 distribute-rgt-neg-out_binary64_1402 distribute-lft-neg-out_binary64_1401 distribute-rgt1-in_binary64_1398 distribute-lft1-in_binary64_1397 distribute-rgt-out--_binary64_1396 distribute-rgt-out_binary64_1395 distribute-lft-out--_binary64_1394 distribute-lft-out_binary64_1393 associate--r-_binary64_1381 associate--l-_binary64_1380
Counts
135 → 71
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01072369
12551961
211551899
342601879
452081879

prune80.0ms (0.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New62971
Fresh448
Picked101
Done000
Total671380
Error
7.0b
Counts
80 → 13
Compiler

Compiled 1275 to 388 computations (69.6% saved)

regimes4.1s (5.8%)

Accuracy

Total 1.5b remaining (26.4%)

Threshold costs 0b (0%)

Compiler

Compiled 64623 to 46517 computations (28% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64_1373
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64_1702 if-if-and_binary64_1701 if-if-or-not_binary64_1700 if-if-or_binary64_1699 if-not_binary64_1698 if-same_binary64_1697 if-false_binary64_1696 if-true_binary64_1695 tan-0_binary64_1571 cos-0_binary64_1570 sin-0_binary64_1569 unpow1_binary64_1500 e-exp-1_binary64_1487 1-exp_binary64_1486 exp-1-e_binary64_1485 exp-0_binary64_1484 sqr-abs_binary64_1457 sqr-neg_binary64_1456 neg-mul-1_binary64_1438 neg-sub0_binary64_1437 unsub-neg_binary64_1436 sub-neg_binary64_1435 mul-1-neg_binary64_1434 /-rgt-identity_binary64_1433 *-rgt-identity_binary64_1432 *-lft-identity_binary64_1431 remove-double-neg_binary64_1430 sub0-neg_binary64_1429 --rgt-identity_binary64_1428 +-rgt-identity_binary64_1427 +-lft-identity_binary64_1426 cancel-sign-sub-inv_binary64_1408 cancel-sign-sub_binary64_1407 distribute-neg-frac_binary64_1406 distribute-frac-neg_binary64_1405 distribute-neg-out_binary64_1404 distribute-neg-in_binary64_1403 distribute-rgt-neg-out_binary64_1402 distribute-lft-neg-out_binary64_1401 distribute-rgt-neg-in_binary64_1400 distribute-lft-neg-in_binary64_1399 +-commutative_binary64_1372
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01229
11629
21629

end0.0ms (0%)

sample42.1s (59.3%)

Algorithm
intervals
Results
9.8s1489×body4096valid
6.5s1644×body2048valid
5.6s852×body4096invalid
4.5s1149×body2048invalid
2.1s850×body1024valid
2.1s3471×body128valid
1.9s667×body1024invalid
942.0ms66×body8192valid
542.0ms328×body512valid
524.0ms36×body8192invalid
476.0ms287×body512invalid
475.0ms980×body128invalid
158.0ms152×body256valid
92.0ms89×body256invalid
Compiler

Compiled 8025 to 5772 computations (28.1% saved)

Profiling

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