Details

Time bar (total: 11.4s)

analyze31.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%23.7%76.3%0
0%23.7%76.3%1
11.9%11.9%76.3%2
17.8%5.9%76.3%3
20.8%3%76.3%4
22.2%1.5%76.3%5
23%0.7%76.3%6
23.3%0.4%76.3%7
23.3%0.4%76.3%8
23.4%0.3%76.3%9
23.5%0.2%76.3%10
23.5%0.2%76.3%11
23.5%0.2%76.3%12
23.6%0.2%76.3%13
23.6%0.1%76.3%14
Compiler

Compiled 18 to 14 computations (22.2% saved)

sample140.0ms (1.2%)

Algorithm
intervals
Results
77.0ms138×body1024valid
25.0ms68×body512valid
8.0ms36×body256valid
6.0ms256×pre128true
6.0msbody2048valid
1.0msbody128valid
Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify586.0ms (5.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (418.0ms)

IterNodesCost
0609423

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
63.0b
Counts
2 → 1
Compiler

Compiled 30 to 24 computations (20% saved)

localize20.0ms (0.2%)

Local error

Found 6 expressions with local error:

4.8b
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))
0.2b
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
0.2b
(*.f64 n (log.f64 n))
0.2b
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
0.2b
(*.f64 n (log.f64 n))
4.8b
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))

rewrite61.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
28×log-prod_binary64_1822
25×*-un-lft-identity_binary64_1736
19×add-sqr-sqrt_binary64_1758
15×add-cube-cbrt_binary64_1771
14×distribute-rgt-in_binary64_1686 distribute-lft-in_binary64_1685
pow1_binary64_1797
associate--l+_binary64_1673 associate-*r*_binary64_1676
add-cbrt-cube_binary64_1772 add-exp-log_binary64_1774 associate-*l*_binary64_1677
associate--r+_binary64_1672
distribute-lft-out_binary64_1687 add-log-exp_binary64_1775
associate-*l/_binary64_1679 cbrt-unprod_binary64_1769 *-commutative_binary64_1667 log-pow_binary64_1825 unswap-sqr_binary64_1704 prod-exp_binary64_1785 pow-prod-down_binary64_1807
flip--_binary64_1711 cancel-sign-sub-inv_binary64_1702 flip-+_binary64_1710 flip3--_binary64_1740 diff-log_binary64_1828 sub-neg_binary64_1729 flip3-+_binary64_1739
Counts
3 → 81
Calls

6 calls:

20.0ms
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))
17.0ms
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
9.0ms
(*.f64 n (log.f64 n))
0.0ms
(*.f64 n (log.f64 n))
0.0ms
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))

series267.0ms (2.3%)

Counts
3 → 11
Calls

3 calls:

136.0ms
(*.f64 n (log.f64 n))
85.0ms
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))
46.0ms
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
Compiler

Compiled 321 to 269 computations (16.2% saved)

simplify130.0ms (1.1%)

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
049811480
149811480

prune252.0ms (2.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New91192
Fresh000
Picked101
Done000
Total92193
Error
0.0b
Counts
93 → 1
Compiler

Compiled 1897 to 1186 computations (37.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (+.f64 1 (log.f64 n)) 1)
0.0b
(+.f64 1 (log.f64 n))
0.0b
(-.f64 (+.f64 1 (log.f64 n)) 1)
0.0b
(+.f64 1 (log.f64 n))

rewrite27.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity_binary64_1736
add-sqr-sqrt_binary64_1758
add-log-exp_binary64_1775
distribute-lft-out_binary64_1687 pow1_binary64_1797 add-cube-cbrt_binary64_1771
log-prod_binary64_1822 associate-+r+_binary64_1668 cancel-sign-sub-inv_binary64_1702 distribute-lft-out--_binary64_1688
add-cbrt-cube_binary64_1772 add-exp-log_binary64_1774 sum-log_binary64_1827 diff-log_binary64_1828 difference-of-squares_binary64_1705 log-pow_binary64_1825
difference-of-sqr-1_binary64_1706 associate--l+_binary64_1673 flip--_binary64_1711 flip-+_binary64_1710 flip3--_binary64_1740 sub-neg_binary64_1729 flip3-+_binary64_1739 +-commutative_binary64_1666
Counts
2 → 38
Calls

4 calls:

14.0ms
(-.f64 (+.f64 1 (log.f64 n)) 1)
8.0ms
(+.f64 1 (log.f64 n))
0.0ms
(+.f64 1 (log.f64 n))
0.0ms
(-.f64 (+.f64 1 (log.f64 n)) 1)

series183.0ms (1.6%)

Counts
2 → 6
Calls

2 calls:

91.0ms
(-.f64 (+.f64 1 (log.f64 n)) 1)
91.0ms
(+.f64 1 (log.f64 n))
Compiler

Compiled 80 to 80 computations (0% saved)

simplify127.0ms (1.1%)

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (109.0ms)

IterNodesCost
05019345

prune52.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New43144
Fresh000
Picked101
Done000
Total44145
Error
0b
Counts
45 → 1
Compiler

Compiled 358 to 230 computations (35.8% saved)

localize5.0ms (0%)

rewrite1.0ms (0%)

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Error
0b
Counts
1 → 1
Compiler

Compiled 0 to 0 computations (0% saved)

simplify38.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
06011116
16011116

regimes372.0ms (3.2%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 2300 to 1739 computations (24.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
033
133

end0.0ms (0%)

sample9.1s (79.7%)

Algorithm
intervals
Results
2.5s4264×body1024valid
806.0ms2109×body512valid
395.0ms445×body2048valid
248.0ms1027×body256valid
199.0ms8000×pre128true
18.0ms155×body128valid
Compiler

Compiled 2175 to 1634 computations (24.9% saved)

Pareto

-0.8591621039778925

Profiling

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