Details

Time bar (total: 2.6s)

analyze4.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample19.0ms (0.7%)

Algorithm
intervals
Results
6.0ms67×body512valid
5.0ms146×body128valid
2.0ms31×body256valid
1.0ms12×body1024valid
Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify174.0ms (6.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
07616
17616

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 16.1b

Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (+.f64 x 1))
0.0b
(/.f64 1 (-.f64 x 1))
3.6b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite69.0ms (2.7%)

Algorithm
rewrite-expression-head
Rules
118×*-un-lft-identity_binary64_1442
95×add-sqr-sqrt_binary64_1464
90×times-frac_binary64_1448
43×add-cube-cbrt_binary64_1477
30×distribute-lft-out--_binary64_1394
27×cancel-sign-sub-inv_binary64_1408
23×difference-of-squares_binary64_1411
11×associate-/r*_binary64_1386 add-exp-log_binary64_1480
10×distribute-lft-out_binary64_1393
associate-/r/_binary64_1388
add-cbrt-cube_binary64_1478 div-inv_binary64_1439 difference-of-sqr-1_binary64_1412
associate-/l*_binary64_1387
add-log-exp_binary64_1481 pow1_binary64_1503
flip--_binary64_1417 div-exp_binary64_1493
flip3--_binary64_1446
inv-pow_binary64_1527 cbrt-undiv_binary64_1476 clear-num_binary64_1441 1-exp_binary64_1486 rec-exp_binary64_1492 pow-flip_binary64_1516 frac-2neg_binary64_1453 flip-+_binary64_1416
sub-neg_binary64_1435 frac-sub_binary64_1451 diff-log_binary64_1534 flip3-+_binary64_1445
Counts
3 → 151
Calls

3 calls:

38.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
7.0ms
(/.f64 1 (-.f64 x 1))
6.0ms
(/.f64 1 (+.f64 x 1))

series110.0ms (4.3%)

Counts
3 → 9
Calls

3 calls:

73.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
19.0ms
(/.f64 1 (+.f64 x 1))
18.0ms
(/.f64 1 (-.f64 x 1))

simplify80.0ms (3.1%)

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
054212407

prune165.0ms (6.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1582160
Fresh000
Picked101
Done000
Total1592161

Merged error: 0.2b

Counts
161 → 2
Compiler

Compiled 2696 to 2202 computations (18.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b
(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite7.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
times-frac_binary64_1448 add-sqr-sqrt_binary64_1464 add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
associate-/r*_binary64_1386 add-cbrt-cube_binary64_1478 associate-/l*_binary64_1387 add-exp-log_binary64_1480
associate-/r/_binary64_1388
cbrt-undiv_binary64_1476 div-inv_binary64_1439 clear-num_binary64_1441 add-log-exp_binary64_1481 frac-2neg_binary64_1453 flip3-+_binary64_1445 flip-+_binary64_1416 pow1_binary64_1503 div-exp_binary64_1493
Counts
1 → 29
Calls

1 calls:

5.0ms
(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series43.0ms (1.7%)

Counts
1 → 3
Calls

1 calls:

43.0ms
(/.f64 -2 (+.f64 -1 (*.f64 x x)))

simplify65.0ms (2.6%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05269557

prune32.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New29332
Fresh101
Picked011
Done000
Total30434

Merged error: 0.2b

Counts
34 → 4
Compiler

Compiled 522 to 358 computations (31.4% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

1.0b
(cbrt.f64 -2)
13.1b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
13.1b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
13.1b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite15.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64_1473
add-sqr-sqrt_binary64_1464 add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
cbrt-div_binary64_1474
add-cbrt-cube_binary64_1478 add-log-exp_binary64_1481 add-exp-log_binary64_1480 pow1/3_binary64_1524 pow1_binary64_1503
flip3-+_binary64_1445 flip-+_binary64_1416
Counts
4 → 50
Calls

4 calls:

3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
1.0ms
(cbrt.f64 -2)

series255.0ms (9.9%)

Counts
4 → 10
Calls

4 calls:

88.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
85.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
81.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
0.0ms
(cbrt.f64 -2)

simplify90.0ms (3.5%)

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
05188980

prune105.0ms (4.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New60060
Fresh022
Picked011
Done011
Total60464

Merged error: 0.2b

Counts
64 → 4
Compiler

Compiled 2182 to 1572 computations (28% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
21.3b
(*.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (*.f64 x x)))

rewrite47.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
87×add-sqr-sqrt_binary64_1464
67×*-un-lft-identity_binary64_1442
61×times-frac_binary64_1448
43×difference-of-squares_binary64_1411
36×associate-*l*_binary64_1383
32×add-cube-cbrt_binary64_1477
14×sqr-pow_binary64_1414 unpow-prod-down_binary64_1521
10×associate-/r*_binary64_1386
add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480
distribute-lft-out--_binary64_1394
associate-*r*_binary64_1382 associate-/r/_binary64_1388 flip3--_binary64_1446 flip--_binary64_1417 pow1_binary64_1503
associate-/l*_binary64_1387
associate-*r/_binary64_1384 cbrt-undiv_binary64_1476 cancel-sign-sub-inv_binary64_1408 cbrt-unprod_binary64_1475 div-inv_binary64_1439 sub-neg_binary64_1435 add-log-exp_binary64_1481 distribute-lft-in_binary64_1391 frac-times_binary64_1452 distribute-rgt-in_binary64_1392 prod-exp_binary64_1491 div-exp_binary64_1493 unswap-sqr_binary64_1410
clear-num_binary64_1441 pow-prod-down_binary64_1513 *-commutative_binary64_1373 frac-2neg_binary64_1453 associate-*l/_binary64_1385
Counts
2 → 121
Calls

2 calls:

20.0ms
(*.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (*.f64 x x)))
11.0ms
(/.f64 -2 (-.f64 1 (pow.f64 x 4)))

series183.0ms (7.1%)

Counts
2 → 6
Calls

2 calls:

117.0ms
(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
65.0ms
(*.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (*.f64 x x)))

simplify72.0ms (2.8%)

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051612590

prune154.0ms (6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1261127
Fresh011
Picked011
Done022
Total1265131

Merged error: 0.2b

Counts
131 → 5
Compiler

Compiled 2760 to 2042 computations (26% saved)

regimes48.0ms (1.9%)

Compiler

Compiled 494 to 408 computations (17.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
1810

end0.0ms (0%)

sample794.0ms (30.9%)

Algorithm
intervals
Results
171.0ms1995×body512valid
146.0ms4555×body128valid
58.0ms1007×body256valid
49.0ms443×body1024valid
Compiler

Compiled 254 to 211 computations (16.9% saved)

Profiling

Loading profile data...