Details

Time bar (total: 18.7s)

sample276.0ms

Algorithm
intervals
Results
171.0ms108×body1280valid
57.0ms76×body640valid
16.0ms43×body320valid
6.0ms256×pre80true
4.0ms19×body160valid
1.0ms10×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2119
done119

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.4b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.0b
(log (- 1.0 x))
6.1b
(log (+ 1.0 x))

rewrite63.0ms

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:
35.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
10.0ms
(log (- 1.0 x))
12.0ms
(log (+ 1.0 x))

series301.0ms

Counts
3 → 9
Calls
3 calls:
185.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
46.0ms
(log (- 1.0 x))
70.0ms
(log (+ 1.0 x))

simplify2.8s

Counts
78 → 78
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01861203
14261150
212191064
342411008
done50011008

prune351.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 59.1b

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)))))
6.0b
(log (- 1.0 x))

rewrite104.0ms

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:
90.0ms
(/ (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))

series290.0ms

Counts
2 → 6
Calls
2 calls:
227.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
63.0ms
(log (- 1.0 x))

simplify981.0ms

Counts
59 → 59
Iterations

Useful iterations: done (976.0ms)

IterNodesCost
02031706
15061676
216311562
done50001532

prune368.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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)))))

rewrite138.0ms

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:
134.0ms
(/ (- (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)))))

series184.0ms

Counts
1 → 3
Calls
1 calls:
183.0ms
(/ (- (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)))))

simplify949.0ms

Counts
49 → 49
Iterations

Useful iterations: done (945.0ms)

IterNodesCost
01252430
13602392
212212250
done50012238

prune268.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- (* 1.0 x) (log 1.0)) (- (* (pow 1.0 2) (+ (* 1.0 x) (log 1.0))) (* 1/2 (pow x 2))))
0.2b
(* (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (* (- (* 1.0 x) (log 1.0)) (- (* (pow 1.0 2) (+ (* 1.0 x) (log 1.0))) (* 1/2 (pow x 2))))) (* (- (* 1.0 x) (log 1.0)) (pow 1.0 2)))
29.1b
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (* (- (* 1.0 x) (log 1.0)) (- (* (pow 1.0 2) (+ (* 1.0 x) (log 1.0))) (* 1/2 (pow x 2)))))

rewrite884.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
31×add-cbrt-cube
27×prod-exp
21×flip3-- associate-*l* flip--
18×*-un-lft-identity
17×add-sqr-sqrt
16×associate-/r/
14×frac-times
13×cbrt-unprod
12×times-frac
11×associate-*l/
10×pow1 div-exp
9×add-cube-cbrt
8×associate-*r/
6×cbrt-undiv distribute-rgt-in distribute-lft-in associate-/l* distribute-lft-out--
4×associate-*r* associate--l+
3×pow-to-exp pow-exp log-pow add-log-exp difference-of-squares
2×sub-neg pow-prod-down *-commutative div-inv associate-/l/
1×frac-2neg div-sub clear-num associate-/r* unswap-sqr
Counts
3 → 123
Calls
3 calls:
159.0ms
(* (- (* 1.0 x) (log 1.0)) (- (* (pow 1.0 2) (+ (* 1.0 x) (log 1.0))) (* 1/2 (pow x 2))))
514.0ms
(* (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (* (- (* 1.0 x) (log 1.0)) (- (* (pow 1.0 2) (+ (* 1.0 x) (log 1.0))) (* 1/2 (pow x 2))))) (* (- (* 1.0 x) (log 1.0)) (pow 1.0 2)))
201.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (* (- (* 1.0 x) (log 1.0)) (- (* (pow 1.0 2) (+ (* 1.0 x) (log 1.0))) (* 1/2 (pow x 2)))))

series578.0ms

Counts
3 → 9
Calls
3 calls:
158.0ms
(* (- (* 1.0 x) (log 1.0)) (- (* (pow 1.0 2) (+ (* 1.0 x) (log 1.0))) (* 1/2 (pow x 2))))
182.0ms
(* (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (* (- (* 1.0 x) (log 1.0)) (- (* (pow 1.0 2) (+ (* 1.0 x) (log 1.0))) (* 1/2 (pow x 2))))) (* (- (* 1.0 x) (log 1.0)) (pow 1.0 2)))
239.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (* (- (* 1.0 x) (log 1.0)) (- (* (pow 1.0 2) (+ (* 1.0 x) (log 1.0))) (* 1/2 (pow x 2)))))

simplify2.1s

Counts
132 → 132
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02596863
18086658
238385570
done50005568

prune543.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes50.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01533
11933
done1933

end0.0ms

sample7.3s

Algorithm
intervals
Results
4.5s3379×body1280valid
1.9s2514×body640valid
382.0ms1262×body320valid
139.0ms8000×pre80true
108.0ms629×body160valid
19.0ms216×body80valid