Details

analyze3.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	25%	13
75%	0%	25%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample11.0ms (1%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify730.0ms (63.2%)

Algorithm

1×	egg-herbie

Rules

666×	`times-frac_binary64_1448`
488×	`exp-prod_binary64_1494`
370×	`distribute-rgt-in_binary64_1392`
316×	`swap-sqr_binary64_1409`
273×	`associate-/l*_binary64_1387`
232×	`pow-plus_binary64_1505`
204×	`unsub-neg_binary64_1436`
196×	`distribute-rgt1-in_binary64_1398`
162×	`distribute-lft-neg-in_binary64_1399`
139×	`distribute-rgt-neg-in_binary64_1400`
128×	`distribute-rgt-neg-out_binary64_1402`
114×	`exp-sum_binary64_1488`
106×	`distribute-lft-in_binary64_1391`
102×	`distribute-lft-neg-out_binary64_1401`
90×	`neg-mul-1_binary64_1438`
89×	`*-commutative_binary64_1373`
85×	`associate-+l-_binary64_1377`
82×	`neg-sub0_binary64_1437`
76×	`sqr-pow_binary64_1414` `distribute-neg-in_binary64_1403`
72×	`distribute-neg-out_binary64_1404`
68×	`associate-r_binary64_1382`
66×	`associate-+l+_binary64_1375`
60×	`associate-+r+_binary64_1374`
59×	`associate-+r-_binary64_1376`
55×	`+-commutative_binary64_1372`
50×	`exp-diff_binary64_1490` `sqr-neg_binary64_1456`
49×	`pow-sqr_binary64_1415`
48×	`associate-l_binary64_1383`
44×	`exp-neg_binary64_1489`
37×	`remove-double-neg_binary64_1430`
27×	`sub-neg_binary64_1435`
25×	`distribute-rgt-out_binary64_1395`
24×	`associate--r+_binary64_1378`
19×	`distribute-lft1-in_binary64_1397`
17×	`associate-*l/_binary64_1385`
16×	`unpow1/2_binary64_1506`
15×	`exp-lft-sqr_binary64_1497`
14×	`associate-/r*_binary64_1386`
13×	`div-sub_binary64_1447` `mul0-rgt_binary64_1425` `mul0-lft_binary64_1424`
9×	`sub0-neg_binary64_1429`
8×	`*-rgt-identity_binary64_1432`
7×	`cube-prod_binary64_1470` `rem-sqrt-square_binary64_1455` `*-lft-identity_binary64_1431` `cancel-sign-sub-inv_binary64_1408`
5×	`pow-base-1_binary64_1502` `distribute-frac-neg_binary64_1405` `distribute-rgt-out--_binary64_1396` `associate--l-_binary64_1380`
4×	`cube-unmult_binary64_1479`
3×	`+-rgt-identity_binary64_1427` `count-2_binary64_1390` `associate-*r/_binary64_1384`
2×	`--rgt-identity_binary64_1428` `associate--r-_binary64_1381`
1×	`unpow3_binary64_1508` `prod-exp_binary64_1491` `1-exp_binary64_1486` `exp-1-e_binary64_1485` `cube-neg_binary64_1469` `div0_binary64_1423` `unswap-sqr_binary64_1410` `distribute-neg-frac_binary64_1406` `associate--l+_binary64_1379`
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` `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-sqrt_binary64_1495` `div-exp_binary64_1493` `rec-exp_binary64_1492` `e-exp-1_binary64_1487` `exp-0_binary64_1484` `rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `cube-mult_binary64_1472` `cube-div_binary64_1471` `rem-3cbrt-rft_binary64_1468` `rem-3cbrt-lft_binary64_1467` `rem-cbrt-cube_binary64_1466` `rem-cube-cbrt_binary64_1465` `sqr-abs_binary64_1457` `rem-square-sqrt_binary64_1454` `mul-1-neg_binary64_1434` `/-rgt-identity_binary64_1433` `+-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` `difference-of-sqr--1_binary64_1413` `difference-of-sqr-1_binary64_1412` `difference-of-squares_binary64_1411` `cancel-sign-sub_binary64_1407` `distribute-lft-out--_binary64_1394` `distribute-lft-out_binary64_1393` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	31	10
3	57	10
4	128	10
5	207	10
6	417	10
7	1137	10
8	4953	10

prune3.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

Counts

3 → 1

Compiler

Compiled 21 to 14 computations (33.3% saved)

localize4.0ms (0.3%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify8.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Error

Counts

1 → 1

Compiler

Compiled 0 to 0 computations (0% saved)

regimes19.0ms (1.6%)

Accuracy

Total 0.0b remaining (98.9%)

Threshold costs 0.0b (98.9%)

Compiler

Compiled 44 to 36 computations (18.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

5×	`sub-neg_binary64_1435` `*-commutative_binary64_1373` `+-commutative_binary64_1372`
4×	`neg-mul-1_binary64_1438` `neg-sub0_binary64_1437`
3×	`distribute-rgt-neg-in_binary64_1400`
2×	`cancel-sign-sub-inv_binary64_1408` `distribute-lft-neg-in_binary64_1399`
1×	`distribute-lft-neg-out_binary64_1401`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_1702` `if-if-and_binary64_1701` `if-if-or-not_binary64_1700` `if-if-or_binary64_1699` `if-not_binary64_1698` `if-same_binary64_1697` `if-false_binary64_1696` `if-true_binary64_1695` `tan-0_binary64_1571` `cos-0_binary64_1570` `sin-0_binary64_1569` `unpow1_binary64_1500` `e-exp-1_binary64_1487` `1-exp_binary64_1486` `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` `-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_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	12	10
2	22	10
3	31	10
4	37	10
5	40	10
6	41	10

Proof

(- f64 h0 (* f64 1/2 (* f64 h0 h0)))

end0.0ms (0%)

sample372.0ms (32.2%)

Algorithm

1×

intervals

Results

161.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 29 to 24 computations (17.2% saved)

Details

analyze3.0ms (0.3%)

sample11.0ms (1%)

simplify730.0ms (63.2%)

prune3.0ms (0.3%)

localize4.0ms (0.3%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.7%)

prune0.0ms (0%)

regimes19.0ms (1.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

end0.0ms (0%)

sample372.0ms (32.2%)

Profiling