Details

Time bar (total: 1.8s)

analyze3.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%25%25%3
62.5%12.5%25%4
68.7%6.2%25%5
71.8%3.1%25%6
73.4%1.6%25%7
74.2%0.8%25%8
74.6%0.4%25%9
74.8%0.2%25%10
74.9%0.1%25%11
74.9%0%25%12
74.9%0%25%13
74.9%0%25%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample12.0ms (0.7%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify163.0ms (8.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01012
11012

prune6.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite12.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity_binary64_1425
20×add-sqr-sqrt_binary64_1446
18×times-frac_binary64_1431
16×distribute-lft-out_binary64_1378
12×add-cube-cbrt_binary64_1457
sqrt-prod_binary64_1440
associate-/r*_binary64_1371
add-cbrt-cube_binary64_1458 associate-/l*_binary64_1372 add-exp-log_binary64_1460
associate-/r/_binary64_1373
frac-2neg_binary64_1436 flip3-+_binary64_1428 clear-num_binary64_1424 div-inv_binary64_1422 flip-+_binary64_1399 div-exp_binary64_1473 pow1_binary64_1483 cbrt-undiv_binary64_1456 add-log-exp_binary64_1461
Counts
1 → 41
Calls

1 calls:

9.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

series124.0ms (6.8%)

Counts
1 → 3
Calls

1 calls:

124.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

simplify63.0ms (3.4%)

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05019970

prune50.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New42244
Fresh000
Picked011
Done000
Total42345

Merged error: 0b

Counts
45 → 3
Compiler

Compiled 773 to 568 computations (26.5% saved)

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite15.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_1453
23×add-sqr-sqrt_binary64_1446
15×add-cube-cbrt_binary64_1457 *-un-lft-identity_binary64_1425
11×pow1_binary64_1483
pow1/3_binary64_1504
associate-*l*_binary64_1368 associate-*r*_binary64_1367 swap-sqr_binary64_1392 add-exp-log_binary64_1460
unswap-sqr_binary64_1393 add-cbrt-cube_binary64_1458 add-log-exp_binary64_1461
pow-sqr_binary64_1398 pow-prod-up_binary64_1492 pow-prod-down_binary64_1493
prod-exp_binary64_1471 pow-plus_binary64_1485 cbrt-unprod_binary64_1455 pow2_binary64_1503 *-commutative_binary64_1358
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series661.0ms (36%)

Counts
4 → 12
Calls

4 calls:

175.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
173.0ms
(cbrt.f64 x)
163.0ms
(cbrt.f64 x)
151.0ms
(cbrt.f64 x)

simplify67.0ms (3.7%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04957563
14957563

prune76.0ms (4.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done011
Total85388

Merged error: 0b

Counts
88 → 3
Compiler

Compiled 1507 to 833 computations (44.7% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

2.0b
(-.f64 1 (sqrt.f64 (+.f64 x 1)))

rewrite9.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_1446
*-un-lft-identity_binary64_1425
sqrt-prod_binary64_1440 difference-of-squares_binary64_1394
distribute-lft-out--_binary64_1379 add-log-exp_binary64_1461
flip--_binary64_1400 diff-log_binary64_1514 add-cube-cbrt_binary64_1457 sub-neg_binary64_1418 distribute-lft-out_binary64_1378 add-cbrt-cube_binary64_1458 pow1_binary64_1483 flip3--_binary64_1429 add-exp-log_binary64_1460
Counts
1 → 18
Calls

1 calls:

7.0ms
(-.f64 1 (sqrt.f64 (+.f64 x 1)))

series38.0ms (2.1%)

Counts
1 → 3
Calls

1 calls:

38.0ms
(-.f64 1 (sqrt.f64 (+.f64 x 1)))

simplify46.0ms (2.5%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04930367
14930367

prune20.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New21021
Fresh000
Picked011
Done022
Total21324

Merged error: 0b

Counts
24 → 3
Compiler

Compiled 313 to 264 computations (15.7% saved)

regimes19.0ms (1.1%)

Compiler

Compiled 80 to 66 computations (17.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11012

end0.0ms (0%)

sample429.0ms (23.3%)

Algorithm
intervals
Results
244.0ms7998×body128valid
0.0msbody2048valid
Compiler

Compiled 48 to 41 computations (14.6% saved)

Profiling

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