Details

Time bar (total: 1.0s)

analyze3.0ms

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

sample65.0ms

Algorithm
intervals
Results
38.0ms81×body1280valid
10.0ms47×body640valid
3.0ms27×body320valid
3.0ms93×body80valid
1.0msbody160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
066
166

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 38.8b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

3.5b
(log.f64 (+.f64 1 x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 log-prod_binary64
pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-sqr-sqrt_binary64 log-div_binary64
flip3-+_binary64 add-log-exp_binary64 distribute-lft-out_binary64 rem-log-exp_binary64 log-pow_binary64 add-cbrt-cube_binary64 flip-+_binary64
Counts
1 → 15
Calls
1 calls:
3.0ms
(log.f64 (+.f64 1 x))

series15.0ms

Counts
1 → 3
Calls
1 calls:
14.0ms
(log.f64 (+.f64 1 x))

simplify64.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04951210
14951210

prune73.0ms

Filtered
13 candidates to 18 candidates (-38.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New15318
Fresh000
Picked101
Done000
Total16319

Merged error: 0.1b

Counts
19 → 3

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(*.f64 x (+.f64 1 (*.f64 x (+.f64 (*.f64 x 1/3) -1/2))))
0.1b
(*.f64 x (+.f64 (*.f64 x 1/3) -1/2))
0.3b
(*.f64 x 1/3)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64
*-un-lft-identity_binary64 pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
associate-*r/_binary64
pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
flip3-+_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 flip-+_binary64
Counts
3 → 62
Calls
3 calls:
5.0ms
(*.f64 x (+.f64 1 (*.f64 x (+.f64 (*.f64 x 1/3) -1/2))))
8.0ms
(*.f64 x (+.f64 (*.f64 x 1/3) -1/2))
4.0ms
(*.f64 x 1/3)

series69.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(*.f64 x (+.f64 1 (*.f64 x (+.f64 (*.f64 x 1/3) -1/2))))
39.0ms
(*.f64 x (+.f64 (*.f64 x 1/3) -1/2))
13.0ms
(*.f64 x 1/3)

simplify79.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05365905

prune208.0ms

Filtered
45 candidates to 71 candidates (-57.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New71071
Fresh022
Picked011
Done000
Total71374

Merged error: 0.1b

Counts
74 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (+.f64 1 x))
0.0b
(sqrt.f64 (+.f64 1 x))
3.6b
(log.f64 (sqrt.f64 (+.f64 1 x)))
3.6b
(log.f64 (sqrt.f64 (+.f64 1 x)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity_binary64
16×sqrt-prod_binary64
14×log-prod_binary64
12×add-sqr-sqrt_binary64
10×pow1_binary64 add-cube-cbrt_binary64
sqrt-div_binary64
log-pow_binary64 add-exp-log_binary64
flip3-+_binary64 add-log-exp_binary64 pow1/2_binary64 distribute-lft-out_binary64 add-cbrt-cube_binary64 sqrt-pow1_binary64 log-div_binary64 flip-+_binary64
rem-log-exp_binary64 rem-sqrt-square_binary64
Counts
4 → 72
Calls
4 calls:
3.0ms
(sqrt.f64 (+.f64 1 x))
3.0ms
(sqrt.f64 (+.f64 1 x))
4.0ms
(log.f64 (sqrt.f64 (+.f64 1 x)))
4.0ms
(log.f64 (sqrt.f64 (+.f64 1 x)))

series276.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt.f64 (+.f64 1 x))
14.0ms
(sqrt.f64 (+.f64 1 x))
223.0ms
(log.f64 (sqrt.f64 (+.f64 1 x)))
25.0ms
(log.f64 (sqrt.f64 (+.f64 1 x)))

simplify51.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
049571294
149571294

prune18.0ms

Filtered
64 candidates to 84 candidates (-31.3%)

Profiling

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