Details

Time bar (total: 984.0ms)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%25%25%3
50%0%50%4

sample43.0ms

Algorithm
intervals
Results
16.0ms57×body1280valid
8.0ms42×body640valid
7.0ms134×body80valid
2.0ms15×body320valid
1.0ms8×body160valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
07111
17111

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.7b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

2.4b
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
2.8b
(log.f64 (+.f64 N 1))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity_binary64
11×log-prod_binary64
7×pow1_binary64 add-sqr-sqrt_binary64
5×add-cube-cbrt_binary64 log-pow_binary64
4×distribute-lft-out--_binary64 log-div_binary64 associate--l+_binary64
3×associate--r+_binary64 add-exp-log_binary64
2×flip3-+_binary64 add-log-exp_binary64 associate--l-_binary64 distribute-lft-out_binary64 add-cbrt-cube_binary64 flip-+_binary64
1×sub-neg_binary64 flip3--_binary64 diff-log_binary64 rem-log-exp_binary64 difference-of-squares_binary64 flip--_binary64
Counts
2 → 40
Calls
2 calls:
7.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
3.0ms
(log.f64 (+.f64 N 1))

series41.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
15.0ms
(log.f64 (+.f64 N 1))

simplify74.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05965661

prune175.0ms

Filtered
35 candidates to 46 candidates (-31.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New44246
Fresh000
Picked101
Done000
Total45247

Merged error: 0.1b

Counts
47 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (+.f64 N 1) N)
2.3b
(log.f64 (/.f64 (+.f64 N 1) N))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity_binary64
24×times-frac_binary64
19×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
16×log-prod_binary64
7×distribute-lft-out_binary64 add-exp-log_binary64
4×add-cbrt-cube_binary64 associate-/l*_binary64
3×associate-/r*_binary64 pow1_binary64
2×associate-/l/_binary64 add-log-exp_binary64 rem-log-exp_binary64 div-inv_binary64 div-exp_binary64
1×flip3-+_binary64 cbrt-undiv_binary64 log-pow_binary64 clear-num_binary64 frac-2neg_binary64 log-div_binary64 flip-+_binary64
Counts
2 → 60
Calls
2 calls:
5.0ms
(/.f64 (+.f64 N 1) N)
4.0ms
(log.f64 (/.f64 (+.f64 N 1) N))

series47.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/.f64 (+.f64 N 1) N)
20.0ms
(log.f64 (/.f64 (+.f64 N 1) N))

simplify73.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05005944

prune210.0ms

Filtered
46 candidates to 66 candidates (-43.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New64266
Fresh011
Picked011
Done000
Total64468

Merged error: 0.0b

Counts
68 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (/.f64 (+.f64 N 1) N))
0.0b
(sqrt.f64 (/.f64 (+.f64 N 1) N))
2.3b
(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
2.3b
(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
64×sqrt-prod_binary64
62×*-un-lft-identity_binary64
50×times-frac_binary64
44×add-sqr-sqrt_binary64
38×log-prod_binary64 add-cube-cbrt_binary64
12×distribute-lft-out_binary64
10×pow1_binary64
6×log-pow_binary64 add-exp-log_binary64
4×add-log-exp_binary64 pow1/2_binary64 add-cbrt-cube_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 div-inv_binary64 sqrt-div_binary64
2×rem-log-exp_binary64 log-div_binary64
Counts
4 → 118
Calls
4 calls:
5.0ms
(sqrt.f64 (/.f64 (+.f64 N 1) N))
4.0ms
(sqrt.f64 (/.f64 (+.f64 N 1) N))
7.0ms
(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
12.0ms
(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))

series95.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(sqrt.f64 (/.f64 (+.f64 N 1) N))
18.0ms
(sqrt.f64 (/.f64 (+.f64 N 1) N))
28.0ms
(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
30.0ms
(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))

simplify83.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049242378
149242378

prune40.0ms

Filtered
94 candidates to 130 candidates (-38.3%)

Profiling

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