Details

Time bar (total: 5.0s)

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

sample101.0ms

Algorithm
intervals
Results
53.0ms102×body1280valid
32.0ms99×body640valid
6.0ms32×body320valid
2.0ms18×body160valid
0.0ms5×body80valid

simplify193.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (192.0ms)

IterNodesCost
0488912
1488912

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 58.8b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
4.0b
(log (/ (+ 1.0 x) (- 1.0 x)))

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-/r*
4×associate-/r/ add-cbrt-cube associate-/l*
3×pow1
2×flip3-- div-exp rem-log-exp flip-- div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 82
Calls
2 calls:
7.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
6.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify49.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050061111

prune142.0ms

Filtered
58 candidates to 88 candidates (-51.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New84488
Fresh000
Picked101
Done000
Total85489

Merged error: 0.1b

Counts
89 → 4

localize12.0ms

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

prune10.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done000
Total044

Merged error: 0.1b

Counts
4 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
0.0b
(/ (+ 1.0 x) (- 1.0 x))
4.0b
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
4.0b
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
128×*-un-lft-identity
84×add-sqr-sqrt
80×times-frac
58×log-prod
52×sqrt-prod
48×add-cube-cbrt
22×distribute-lft-out
18×distribute-lft-out-- difference-of-squares
10×add-exp-log associate-/r*
8×pow1 associate-/r/ add-cbrt-cube associate-/l*
6×log-pow
4×flip3-- flip-- div-inv associate-/l/ add-log-exp
2×cbrt-undiv log-div frac-2neg sqrt-pow1 flip3-+ pow1/2 sqrt-div div-exp rem-log-exp clear-num flip-+
Counts
4 → 172
Calls
4 calls:
7.0ms
(/ (+ 1.0 x) (- 1.0 x))
8.0ms
(/ (+ 1.0 x) (- 1.0 x))
8.0ms
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
10.0ms
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

series19.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
2.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
7.0ms
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify77.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049372474
149372474

prune373.0ms

Filtered
122 candidates to 184 candidates (-50.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1822184
Fresh202
Picked011
Done011
Total1844188

Merged error: 0.1b

Counts
188 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
4.0b
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
4.1b
(log (sqrt (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)))))
4.1b
(log (sqrt (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
284×sqrt-prod
190×*-un-lft-identity
159×log-prod
152×times-frac
136×add-sqr-sqrt
90×add-cube-cbrt
27×distribute-lft-out
23×distribute-lft-out-- difference-of-squares
10×pow1
9×add-exp-log log-pow
8×associate-/r/
7×sqrt-div
6×add-cbrt-cube
5×associate-/r*
4×flip3-- flip-- div-inv associate-/l* add-log-exp
3×log-div sqrt-pow1 pow1/2 rem-log-exp
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+
Counts
4 → 240
Calls
4 calls:
7.0ms
(/ (+ 1.0 x) (- 1.0 x))
8.0ms
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
12.0ms
(log (sqrt (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)))))
13.0ms
(log (sqrt (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)))))

series27.0ms

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

simplify123.0ms

Algorithm
egg-herbie
Counts
252 → 252
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
048954531
148954531

prune730.0ms

Filtered
135 candidates to 252 candidates (-86.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2502252
Fresh011
Picked101
Done022
Total2515256

Merged error: 0.1b

Counts
256 → 5

regimes83.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04524
14524

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.7s3434×body1280valid
725.0ms2469×body640valid
237.0ms1286×body320valid
71.0ms622×body160valid
10.0ms189×body80valid

Profiling

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