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

sample148.0ms

Algorithm
intervals
Results
84.0ms95×body1280valid
36.0ms85×body640valid
12.0ms54×body320valid
4.0ms256×pre80true
2.0ms18×body160valid
0.0ms4×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
052579

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 62.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.9b
(log (- 1.0 x))
4.9b
(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))

series24.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (- 1.0 x))
3.0ms
(log (+ 1.0 x))

simplify41.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050031101

prune154.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New74478
Fresh000
Picked101
Done000
Total75479

Merged error: 59.7b

Counts
79 → 4

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))))
4.9b
(log (- 1.0 x))

rewrite20.0ms

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:
15.0ms
(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
3.0ms
(log (- 1.0 x))

series14.0ms

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))

simplify27.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
050201508

prune148.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New56157
Fresh033
Picked101
Done000
Total57461

Merged error: 0.0b

Counts
61 → 4

localize18.0ms

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:
16.0ms
(/ (+ (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 (48.0ms)

IterNodesCost
059911690

prune119.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New42143
Fresh033
Picked101
Done000
Total43447

Merged error: 0.0b

Counts
47 → 4

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
9×add-exp-log times-frac add-cbrt-cube
7×pow1
6×associate-*r* associate-*l*
4×associate-*r/
3×flip3-- associate-/r* flip-- associate-/l* add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod associate-/l/ unswap-sqr
1×cbrt-undiv frac-2neg flip3-+ div-sub div-exp clear-num flip-+ div-inv
Counts
3 → 76
Calls
3 calls:
6.0ms
(* x (- 1.0 (* (/ -1/2 1.0) (/ x 1.0))))
6.0ms
(* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0))))
12.0ms
(/ (- (* x (- 1.0 (* (/ -1/2 1.0) (/ x 1.0)))) (log 1.0)) (- (neg (log 1.0)) (* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0))))))

series22.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* x (- 1.0 (* (/ -1/2 1.0) (/ x 1.0))))
6.0ms
(* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0))))
10.0ms
(/ (- (* x (- 1.0 (* (/ -1/2 1.0) (/ x 1.0)))) (log 1.0)) (- (neg (log 1.0)) (* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0))))))

simplify48.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049572034
149572034

prune214.0ms

Filtered
67 candidates to 85 candidates (-26.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done000
Total85489

Merged error: 0.0b

Counts
89 → 4

regimes35.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010330
110330

end0.0ms

sample4.8s

Algorithm
intervals
Results
3.1s3413×body1280valid
1.1s2503×body640valid
275.0ms1238×body320valid
130.0ms8000×pre80true
80.0ms615×body160valid
13.0ms231×body80valid

Profiling

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