Details

Time bar (total: 4.7s)

sample103.0ms

Algorithm
intervals
Results
47.0ms101×body1280valid
23.0ms83×body640valid
11.0ms270×body80nan
7.0ms40×body320valid
2.0ms22×body160valid
1.0ms10×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08712
18712

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: 57.7b

Counts
2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
7.6b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite19.0ms

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
distribute-lft-out-- difference-of-squares
add-exp-log
associate-/r*
associate-/r/ add-cbrt-cube associate-/l*
pow1
flip3-- div-exp rem-log-exp flip-- div-inv associate-/l/ add-log-exp
cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 82
Calls
2 calls:
8.0ms
(/ (+ 1.0 x) (- 1.0 x))
8.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series10.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify51.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
057471109

prune164.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New82688
Fresh000
Picked101
Done000
Total83689

Merged error: 0.2b

Counts
89 → 6

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

prune16.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New000
Fresh055
Picked011
Done000
Total066

Merged error: 0.2b

Counts
6 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
0.0b
(exp (/ (+ 1.0 x) (- 1.0 x)))
0.0b
(log (exp (/ (+ 1.0 x) (- 1.0 x))))
7.6b
(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
123×*-un-lft-identity
81×add-sqr-sqrt
80×times-frac
78×exp-prod
55×log-pow
47×add-cube-cbrt
33×log-prod
21×distribute-lft-out
17×distribute-lft-out-- difference-of-squares
associate-/r/
pow1 add-exp-log
add-cbrt-cube
associate-/r* add-log-exp
flip3-- flip-- div-inv associate-/l*
rem-log-exp associate-/l/
cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ rem-exp-log
Counts
4 → 156
Calls
4 calls:
9.0ms
(/ (+ 1.0 x) (- 1.0 x))
12.0ms
(exp (/ (+ 1.0 x) (- 1.0 x)))
11.0ms
(log (exp (/ (+ 1.0 x) (- 1.0 x))))
11.0ms
(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

series17.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
5.0ms
(exp (/ (+ 1.0 x) (- 1.0 x)))
3.0ms
(log (exp (/ (+ 1.0 x) (- 1.0 x))))
6.0ms
(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050321869

prune287.0ms

Filtered
112 candidates to 168 candidates (-50.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1680168
Fresh044
Picked011
Done011
Total1686174

Merged error: 0.2b

Counts
174 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
0.0b
(/ (+ 1.0 x) (- 1.0 x))
7.6b
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
7.6b
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

rewrite45.0ms

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*
pow1 associate-/r/ add-cbrt-cube associate-/l*
log-pow
flip3-- flip-- div-inv associate-/l/ add-log-exp
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:
9.0ms
(/ (+ 1.0 x) (- 1.0 x))
9.0ms
(/ (+ 1.0 x) (- 1.0 x))
9.0ms
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
11.0ms
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

series22.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
8.0ms
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
8.0ms
(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify68.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
048782478
148782478

prune388.0ms

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

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1813184
Fresh123
Picked011
Done022
Total1828190

Merged error: 0.2b

Counts
190 → 8

regimes128.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01722
11722

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.6s3416×body1280valid
674.0ms2438×body640valid
324.0ms8022×body80nan
218.0ms1252×body320valid
74.0ms673×body160valid
11.0ms221×body80valid

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