Details

Time bar (total: 15.6s)

sample231.0ms

Algorithm
intervals
Results
143.0ms105×body1280valid
50.0ms82×body640valid
13.0ms41×body320valid
5.0ms256×pre80true
4.0ms20×body160valid
0.0ms8×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2119
done119

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.5b
(log (- 1.0 x))
5.8b
(log (+ 1.0 x))

rewrite32.0ms

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:
17.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.0ms
(log (- 1.0 x))
5.0ms
(log (+ 1.0 x))

series340.0ms

Counts
3 → 9
Calls
3 calls:
190.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
58.0ms
(log (- 1.0 x))
92.0ms
(log (+ 1.0 x))

simplify1.0s

Counts
78 → 78
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01861203
14321150
217251066
done50011024

prune373.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 58.7b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
5.5b
(log (- 1.0 x))

rewrite124.0ms

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 associate-/r/ add-cbrt-cube associate-/l*
3×flip3-- associate-/r* flip--
2×div-sub associate-*r/ frac-sub 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 → 53
Calls
2 calls:
110.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
10.0ms
(log (- 1.0 x))

series327.0ms

Counts
2 → 6
Calls
2 calls:
244.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
83.0ms
(log (- 1.0 x))

simplify1.2s

Counts
59 → 59
Iterations

Useful iterations: 2 (387.0ms)

IterNodesCost
02031706
15111676
221841564
done50021564

prune369.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 1 expressions with local error:

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

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
20×add-sqr-sqrt
18×times-frac
12×add-cube-cbrt
8×distribute-lft-out--
6×associate-/l*
5×pow1
4×associate-/r/ log-pow difference-of-squares
3×add-exp-log associate-/r* add-cbrt-cube
2×flip3-- associate-*r/ frac-sub flip-- associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-sub div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 46
Calls
1 calls:
181.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series163.0ms

Counts
1 → 3
Calls
1 calls:
163.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify975.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (259.0ms)

IterNodesCost
01252430
13652392
216732250
done50022250

prune265.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite672.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
126×*-un-lft-identity
110×add-sqr-sqrt
78×add-cube-cbrt
32×distribute-lft-out--
30×associate-/r*
19×pow1
16×log-pow difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
4×cbrt-undiv associate-/l/
2×rec-exp frac-2neg 1-exp associate-*r/ clear-num frac-sub add-log-exp
1×pow-flip flip3-+ div-sub flip-+ inv-pow
Counts
2 → 166
Calls
2 calls:
103.0ms
(/ 1 (/ (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
557.0ms
(/ (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series285.0ms

Counts
2 → 6
Calls
2 calls:
132.0ms
(/ 1 (/ (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
151.0ms
(/ (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify1.9s

Counts
172 → 172
Iterations

Useful iterations: 2 (668.0ms)

IterNodesCost
02519399
17048947
244018507
done50028507

prune461.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes30.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01735
12335
done2335

end0.0ms

sample6.6s

Algorithm
intervals
Results
4.2s3381×body1280valid
1.4s2465×body640valid
414.0ms1298×body320valid
166.0ms8000×pre80true
104.0ms639×body160valid
15.0ms217×body80valid