Details

Time bar (total: 4.0s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14

sample86.0ms

Algorithm
intervals
Results
46.0ms104×body1280valid
21.0ms83×body640valid
7.0ms47×body320valid
2.0ms18×body160valid
0.0ms4×body80valid

simplify150.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (148.0ms)

IterNodesCost
050418

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.8b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
5.3b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/l*
4×associate-/r* associate-/r/ add-cbrt-cube
3×pow1
2×flip3-+ div-exp rem-log-exp flip-+ div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div flip3-- frac-2neg div-sub clear-num log-pow flip--
Counts
2 → 83
Calls
2 calls:
7.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
7.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify61.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049551113
149551113

prune134.0ms

Filtered
59 candidates to 89 candidates (-50.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New86389
Fresh000
Picked101
Done000
Total87390

Merged error: 0.1b

Counts
90 → 3

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune7.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done000
Total033

Merged error: 0.1b

Counts
3 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 eps))
0.0b
(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
5.3b
(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
5.4b
(log (sqrt (- 1.0 eps)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
99×*-un-lft-identity
66×add-sqr-sqrt
64×times-frac
55×sqrt-prod
46×log-prod
43×add-cube-cbrt
17×distribute-lft-out
11×distribute-lft-out-- difference-of-squares
10×add-exp-log
8×pow1 associate-/l*
6×sqrt-div add-cbrt-cube
4×associate-/r* associate-/r/ log-pow add-log-exp
3×log-div flip3-- rem-log-exp flip--
2×sqrt-pow1 flip3-+ pow1/2 div-exp flip-+ div-inv associate-/l/
1×cbrt-undiv rem-sqrt-square frac-2neg clear-num
Counts
4 → 147
Calls
4 calls:
3.0ms
(sqrt (- 1.0 eps))
8.0ms
(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
8.0ms
(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
4.0ms
(log (sqrt (- 1.0 eps)))

series29.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (- 1.0 eps))
7.0ms
(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
10.0ms
(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
9.0ms
(log (sqrt (- 1.0 eps)))

simplify62.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049672299
149672299

prune285.0ms

Filtered
102 candidates to 159 candidates (-55.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1581159
Fresh101
Picked011
Done011
Total1593162

Merged error: 0.1b

Counts
162 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (sqrt (sqrt (- 1.0 eps)))) (log (/ (sqrt (sqrt (- 1.0 eps))) (+ 1.0 eps))))
5.2b
(log (sqrt (sqrt (- 1.0 eps))))
5.3b
(log (/ (sqrt (sqrt (- 1.0 eps))) (+ 1.0 eps)))
5.4b
(log (sqrt (- 1.0 eps)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
135×sqrt-prod
130×log-prod *-un-lft-identity
88×times-frac
82×add-sqr-sqrt
60×add-cube-cbrt
50×associate-+r+
26×distribute-lft-out
14×pow1
13×log-pow
11×associate-+l+ distribute-lft-out-- difference-of-squares
10×sqrt-div
9×add-exp-log
8×log-div
5×sqrt-pow1
4×rem-log-exp associate-/r/ add-cbrt-cube add-log-exp
3×flip3-- flip3-+ pow1/2 flip-- flip-+
2×associate-+l- div-inv
1×+-commutative associate-+r- div-exp sum-log
Counts
4 → 187
Calls
4 calls:
19.0ms
(+ (log (sqrt (sqrt (- 1.0 eps)))) (log (/ (sqrt (sqrt (- 1.0 eps))) (+ 1.0 eps))))
5.0ms
(log (sqrt (sqrt (- 1.0 eps))))
9.0ms
(log (/ (sqrt (sqrt (- 1.0 eps))) (+ 1.0 eps)))
4.0ms
(log (sqrt (- 1.0 eps)))

series42.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(+ (log (sqrt (sqrt (- 1.0 eps)))) (log (/ (sqrt (sqrt (- 1.0 eps))) (+ 1.0 eps))))
8.0ms
(log (sqrt (sqrt (- 1.0 eps))))
11.0ms
(log (/ (sqrt (sqrt (- 1.0 eps))) (+ 1.0 eps)))
6.0ms
(log (sqrt (- 1.0 eps)))

simplify38.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050213045

prune452.0ms

Filtered
119 candidates to 199 candidates (-67.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1981199
Fresh000
Picked011
Done022
Total1984202

Merged error: 0.1b

Counts
202 → 4

regimes36.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04918
14918

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.5s3377×body1280valid
629.0ms2520×body640valid
191.0ms1279×body320valid
57.0ms630×body160valid
8.0ms194×body80valid

Profiling

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