Details

Time bar (total: 19.8s)

sample263.0ms

Algorithm
intervals
Results
169.0ms108×body1280valid
52.0ms76×body640valid
14.0ms43×body320valid
6.0ms256×pre80true
4.0ms19×body160valid
1.0ms10×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2119
done119

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.4b

localize8.0ms

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))

rewrite41.0ms

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:
26.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.0ms
(log (- 1.0 x))
5.0ms
(log (+ 1.0 x))

series362.0ms

Counts
3 → 9
Calls
3 calls:
194.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
79.0ms
(log (- 1.0 x))
90.0ms
(log (+ 1.0 x))

simplify3.0s

Counts
78 → 78
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01861203
14261150
212191064
342411008
done50011008

prune305.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 59.1b

localize24.0ms

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))

rewrite99.0ms

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:
79.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
18.0ms
(log (- 1.0 x))

series264.0ms

Counts
2 → 6
Calls
2 calls:
186.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
77.0ms
(log (- 1.0 x))

simplify1.2s

Counts
59 → 59
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02031706
15061676
216311562
done50001532

prune365.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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)))))

rewrite126.0ms

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:
124.0ms
(/ (- (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)))))

series205.0ms

Counts
1 → 3
Calls
1 calls:
205.0ms
(/ (- (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)))))

simplify841.0ms

Counts
49 → 49
Iterations

Useful iterations: done (837.0ms)

IterNodesCost
01252430
13602392
212212250
done50012238

prune212.0ms

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)))))

rewrite910.0ms

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:
187.0ms
(* (- (* 1.0 x) (log 1.0)) (- (* (pow 1.0 2) (+ (* 1.0 x) (log 1.0))) (* 1/2 (pow x 2))))
543.0ms
(* (/ (- (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)))
167.0ms
(/ (- (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)))))

series733.0ms

Counts
3 → 9
Calls
3 calls:
164.0ms
(* (- (* 1.0 x) (log 1.0)) (- (* (pow 1.0 2) (+ (* 1.0 x) (log 1.0))) (* 1/2 (pow x 2))))
230.0ms
(* (/ (- (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)))
339.0ms
(/ (- (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)))))

simplify2.2s

Counts
132 → 132
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02596863
18086658
238385570
done50005568

prune616.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes57.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01533
11933
done1933

end0.0ms

sample7.9s

Algorithm
intervals
Results
5.1s3379×body1280valid
1.6s2514×body640valid
522.0ms1262×body320valid
238.0ms8000×pre80true
161.0ms629×body160valid
17.0ms216×body80valid