Details

Time bar (total: 7.2s)

sample152.0ms

Algorithm
intervals
Results
93.0ms105×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

localize10.0ms

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))

rewrite29.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 75
Calls
3 calls:
16.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.0ms
(log (+ 1.0 x))
7.0ms
(log (- 1.0 x))

series208.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
40.0ms
(log (+ 1.0 x))
46.0ms
(log (- 1.0 x))

simplify52.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0452686
11669638
25001623
done5001623

prune218.0ms

Pruning

8 alts after pruning (8 fresh and 0 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))))

rewrite69.0ms

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×expm1-log1p-u unpow-prod-down cube-prod log1p-expm1-u 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 → 118
Calls
4 calls:
27.0ms
(/ (log (- 1.0 x)) (- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))))
16.0ms
(log (+ (pow 1.0 3) (pow x 3)))
6.0ms
(log (- 1.0 x))
15.0ms
(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

series631.0ms

Counts
4 → 12
Calls
4 calls:
252.0ms
(/ (log (- 1.0 x)) (- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))))
268.0ms
(log (+ (pow 1.0 3) (pow x 3)))
41.0ms
(log (- 1.0 x))
70.0ms
(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

simplify82.0ms

Counts
130 → 130
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
07201891
128441797
250031796
done50031796

prune389.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

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

prune10.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity
36×pow1
32×times-frac log-pow
31×add-sqr-sqrt
21×add-cube-cbrt
20×distribute-lft-out--
12×log-prod
9×add-exp-log
8×associate-/l*
6×log-div add-cbrt-cube difference-of-squares
4×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp
3×rem-log-exp
2×flip3-- flip3-+ flip-- flip-+ associate-/l/ distribute-lft-out
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
4 → 112
Calls
4 calls:
34.0ms
(/ (- (log (- (* 1.0 1.0) (* x x))) (log (+ 1.0 x))) (log (+ 1.0 x)))
9.0ms
(log (- (* 1.0 1.0) (* x x)))
4.0ms
(log (+ 1.0 x))
5.0ms
(log (+ 1.0 x))

series441.0ms

Counts
4 → 12
Calls
4 calls:
245.0ms
(/ (- (log (- (* 1.0 1.0) (* x x))) (log (+ 1.0 x))) (log (+ 1.0 x)))
109.0ms
(log (- (* 1.0 1.0) (* x x)))
46.0ms
(log (+ 1.0 x))
40.0ms
(log (+ 1.0 x))

simplify64.0ms

Counts
124 → 124
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06421456
125831353
250021345
done50021345

prune257.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes21.0ms

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
02621
12621
done2621

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.9s3427×body1280valid
979.0ms2458×body640valid
243.0ms1263×body320valid
94.0ms8000×pre80true
70.0ms600×body160valid
12.0ms252×body80valid