Details

Time bar (total: 6.9s)

sample156.0ms

Algorithm
intervals
Results
96.0ms105×body1280valid
36.0ms92×body640valid
5.0ms26×body320valid
3.0ms256×pre80true
3.0ms24×body160valid
0.0ms9×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115
done115

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.2b
(log (+ 1.0 x))
6.4b
(log (- 1.0 x))

rewrite27.0ms

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:
16.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.0ms
(log (+ 1.0 x))
5.0ms
(log (- 1.0 x))

series218.0ms

Counts
3 → 9
Calls
3 calls:
129.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
41.0ms
(log (+ 1.0 x))
47.0ms
(log (- 1.0 x))

simplify42.0ms

Counts
78 → 78
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0425668
11561624
25001599
done5001599

prune203.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 57.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))))
2.7b
(log (+ (pow 1.0 3) (pow x 3)))
6.4b
(log (- 1.0 x))
6.4b
(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
53×*-un-lft-identity
36×pow1
33×add-sqr-sqrt
32×times-frac log-pow
21×add-cube-cbrt distribute-lft-out--
17×log-prod
9×add-exp-log
8×log-div associate-/r*
6×add-cbrt-cube difference-of-squares
5×distribute-lft-out
4×unpow-prod-down cube-prod associate-/l* add-log-exp
3×flip3-- rem-log-exp flip--
2×flip3-+ div-sub associate-/r/ flip-+
1×cbrt-undiv frac-2neg div-exp clear-num sum-cubes div-inv
Counts
4 → 110
Calls
4 calls:
26.0ms
(/ (log (- 1.0 x)) (- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))))
17.0ms
(log (+ (pow 1.0 3) (pow x 3)))
5.0ms
(log (- 1.0 x))
19.0ms
(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

series633.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(/ (log (- 1.0 x)) (- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))))
262.0ms
(log (+ (pow 1.0 3) (pow x 3)))
50.0ms
(log (- 1.0 x))
67.0ms
(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

simplify67.0ms

Counts
122 → 122
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06721844
126711753
250021752
done50021752

prune366.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune13.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- (* 1.0 1.0) (* x x))) (log (+ 1.0 x)))
4.0b
(log (- (* 1.0 1.0) (* x x)))
6.2b
(log (+ 1.0 x))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×times-frac
15×pow1 add-sqr-sqrt add-cube-cbrt
12×log-pow
8×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 difference-of-squares
Counts
3 → 68
Calls
3 calls:
34.0ms
(/ (log (- (* 1.0 1.0) (* x x))) (log (+ 1.0 x)))
8.0ms
(log (- (* 1.0 1.0) (* x x)))
4.0ms
(log (+ 1.0 x))

series289.0ms

Counts
3 → 9
Calls
3 calls:
134.0ms
(/ (log (- (* 1.0 1.0) (* x x))) (log (+ 1.0 x)))
115.0ms
(log (- (* 1.0 1.0) (* x x)))
41.0ms
(log (+ 1.0 x))

simplify49.0ms

Counts
77 → 77
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0511872
11998817
25002806
done5002806

prune171.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes47.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03925
13925
done3925

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.9s3427×body1280valid
974.0ms2458×body640valid
248.0ms1263×body320valid
92.0ms8000×pre80true
66.0ms600×body160valid
12.0ms252×body80valid