Details

Time bar (total: 16.8s)

sample236.0ms

Algorithm
intervals
Results
149.0ms123×body1280valid
50.0ms74×body640valid
12.0ms33×body320valid
6.0ms256×pre80true
3.0ms19×body160valid
1.0ms7×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: 61.9b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.9b
(log (- 1.0 x))
5.0b
(log (+ 1.0 x))

rewrite57.0ms

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:
36.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
9.0ms
(log (- 1.0 x))
9.0ms
(log (+ 1.0 x))

series293.0ms

Counts
3 → 9
Calls
3 calls:
161.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
68.0ms
(log (- 1.0 x))
64.0ms
(log (+ 1.0 x))

simplify2.9s

Counts
78 → 78
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01861203
14261150
212191064
342411008
done50011008

prune353.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 59.2b

localize15.0ms

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

rewrite126.0ms

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:
118.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
5.0ms
(log (- 1.0 x))

series274.0ms

Counts
2 → 6
Calls
2 calls:
220.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
54.0ms
(log (- 1.0 x))

simplify1.2s

Counts
59 → 59
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02031706
15061676
216311562
done50001532

prune317.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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)))))

rewrite123.0ms

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:
121.0ms
(/ (- (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)))))

series135.0ms

Counts
1 → 3
Calls
1 calls:
135.0ms
(/ (- (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)))))

simplify1.0s

Counts
49 → 49
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01252430
13602392
212212250
done50012238

prune219.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 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)))))
0.0b
(log (exp (/ (- (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)))))))
0.0b
(exp (/ (- (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))))))

rewrite557.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
55×add-sqr-sqrt
54×times-frac
52×exp-prod
37×log-pow
35×add-cube-cbrt
20×distribute-lft-out--
14×pow1
12×associate-/r/
10×difference-of-squares
6×associate-*r/ frac-sub associate-/l*
5×add-exp-log add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×log-prod flip3-+ div-sub associate-/r* flip-+ div-inv
2×exp-diff associate-/l/
1×cbrt-undiv log-div frac-2neg div-exp rem-log-exp clear-num rem-exp-log
Counts
3 → 120
Calls
3 calls:
127.0ms
(/ (- (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)))))
199.0ms
(log (exp (/ (- (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)))))))
220.0ms
(exp (/ (- (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))))))

series484.0ms

Counts
3 → 9
Calls
3 calls:
131.0ms
(/ (- (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)))))
149.0ms
(log (exp (/ (- (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)))))))
204.0ms
(exp (/ (- (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))))))

simplify960.0ms

Counts
129 → 129
Iterations

Useful iterations: done (954.0ms)

IterNodesCost
02045416
14755254
214594934
done50014900

prune561.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes52.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01735
12135
done2135

end0.0ms

sample6.9s

Algorithm
intervals
Results
4.3s3463×body1280valid
1.8s2493×body640valid
351.0ms1210×body320valid
150.0ms8000×pre80true
99.0ms600×body160valid
57.0ms234×body80valid