Details

Time bar (total: 7.4s)

analyze1.3s

Algorithm
search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
0%50%50%4
3.1%46.8%50%5
4.7%45.3%50%6
5.5%44.5%50%7
5.9%44.1%50%8
6%43.9%50%9
6.1%43.8%50%10
6.2%43.8%50%11
6.2%43.7%50%12
6.2%43.7%50%13
6.2%43.7%50%14

sample158.0ms

Algorithm
intervals
Results
99.0ms109×body1280valid
34.0ms77×body640valid
10.0ms45×body320valid
4.0ms256×pre80true
2.0ms16×body160valid
0.0ms9×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
052579

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 61.7b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.0b
(log (- 1.0 x))
6.0b
(log (+ 1.0 x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-sqr-sqrt
16×times-frac
15×pow1 add-cube-cbrt
12×log-pow
9×log-prod
7×add-exp-log
6×log-div
5×add-cbrt-cube
4×associate-/r* associate-/l*
3×add-log-exp
2×flip3-- div-sub rem-log-exp flip--
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 69
Calls
3 calls:
6.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (- 1.0 x))
3.0ms
(log (+ 1.0 x))

series20.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (- 1.0 x))
3.0ms
(log (+ 1.0 x))

simplify44.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050031101

prune149.0ms

Filtered
55 candidates to 78 candidates (-41.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New72678
Fresh000
Picked101
Done000
Total73679

Merged error: 59.4b

Counts
79 → 6

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
6.0b
(log (- 1.0 x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×add-cube-cbrt times-frac
7×pow1
5×add-exp-log log-prod log-pow
4×log-div add-cbrt-cube associate-/l*
3×associate-/r*
2×flip3-- div-sub associate-/r/ flip-- add-log-exp
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 51
Calls
2 calls:
13.0ms
(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
3.0ms
(log (- 1.0 x))

series13.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
3.0ms
(log (- 1.0 x))

simplify26.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
050201508

prune134.0ms

Filtered
45 candidates to 57 candidates (-26.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New56157
Fresh145
Picked101
Done000
Total58563

Merged error: 0.0b

Counts
63 → 5

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ (log 1.0) (- (* x (/ (* x (/ -1/2 1.0)) 1.0)) (* 1.0 x))) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
15×times-frac
11×add-sqr-sqrt add-cube-cbrt
8×distribute-lft-out
5×pow1 associate-/l*
4×log-pow
3×add-exp-log associate-/r* add-cbrt-cube
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv associate-+r- frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
15.0ms
(/ (+ (log 1.0) (- (* x (/ (* x (/ -1/2 1.0)) 1.0)) (* 1.0 x))) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (+ (log 1.0) (- (* x (/ (* x (/ -1/2 1.0)) 1.0)) (* 1.0 x))) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))

simplify57.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
059911690

prune106.0ms

Filtered
31 candidates to 43 candidates (-38.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New43043
Fresh044
Picked011
Done000
Total43548

Merged error: 0.0b

Counts
48 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
1.4b
(log (- (* 1.0 1.0) (* x x)))
6.0b
(log (- 1.0 x))
6.0b
(log (- 1.0 x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
23×log-prod
19×*-un-lft-identity
17×add-sqr-sqrt
11×pow1
10×log-div
9×add-cube-cbrt
7×add-exp-log log-pow distribute-lft-out--
6×flip3-- flip-- difference-of-squares
5×associate--r+
4×associate--l+ add-cbrt-cube add-log-exp
3×rem-log-exp
2×associate--l- associate--r-
1×sub-neg diff-log
Counts
4 → 76
Calls
4 calls:
10.0ms
(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
4.0ms
(log (- (* 1.0 1.0) (* x x)))
3.0ms
(log (- 1.0 x))
3.0ms
(log (- 1.0 x))

series21.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
8.0ms
(log (- (* 1.0 1.0) (* x x)))
3.0ms
(log (- 1.0 x))
3.0ms
(log (- 1.0 x))

simplify74.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04948943
14948943

prune151.0ms

Filtered
71 candidates to 88 candidates (-23.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New87188
Fresh033
Picked101
Done011
Total88593

Merged error: 0.0b

Counts
93 → 5

regimes37.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05033
15033

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.1s3406×body1280valid
1.1s2514×body640valid
285.0ms1254×body320valid
142.0ms8000×pre80true
80.0ms595×body160valid
13.0ms231×body80valid

Profiling

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