Details

Time bar (total: 19.7s)

sample274.0ms

Algorithm
intervals
Results
176.0ms114×body1280valid
49.0ms70×body640valid
17.0ms46×body320valid
6.0ms256×pre80true
4.0ms21×body160valid
0.0ms5×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.2b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.8b
(log (+ 1.0 x))
7.0b
(log (- 1.0 x))

rewrite38.0ms

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 clear-num frac-2neg flip3-+ div-exp flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 69
Calls
3 calls:
21.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
8.0ms
(log (+ 1.0 x))
8.0ms
(log (- 1.0 x))

series369.0ms

Counts
3 → 9
Calls
3 calls:
205.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
88.0ms
(log (+ 1.0 x))
76.0ms
(log (- 1.0 x))

simplify2.6s

Counts
78 → 78
Iterations
IterNodes
done5002
34806
21325
1432
0185

prune393.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 59.7b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
7.0b
(log (- 1.0 x))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
20×times-frac
16×add-sqr-sqrt
14×pow1 add-cube-cbrt
12×log-pow
10×distribute-lft-out
5×log-prod associate-/r* add-exp-log
4×log-div add-cbrt-cube associate-/l*
2×flip3-- div-sub associate-/r/ flip-- add-log-exp
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp rem-log-exp flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 61
Calls
2 calls:
48.0ms
(/ (log (- 1.0 x)) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
4.0ms
(log (- 1.0 x))

series273.0ms

Counts
2 → 6
Calls
2 calls:
222.0ms
(/ (log (- 1.0 x)) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
50.0ms
(log (- 1.0 x))

simplify2.1s

Counts
67 → 67
Iterations
IterNodes
done5000
21449
1447
0186

prune433.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
15×times-frac
11×add-sqr-sqrt add-cube-cbrt
8×associate-*l/ distribute-lft-out associate-/l/
6×frac-sub
5×pow1 associate-/r*
4×flip3-- log-pow flip--
3×add-cbrt-cube add-exp-log associate-/l*
2×frac-times associate-*r/ associate-/r/
1×cbrt-undiv clear-num frac-2neg flip3-+ div-sub div-exp flip-+ div-inv add-log-exp
Counts
1 → 46
Calls
1 calls:
149.0ms
(/ (- (- (log 1.0) (* 1.0 x)) (* (* (/ x 1.0) (/ x 1.0)) 1/2)) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))

series186.0ms

Counts
1 → 3
Calls
1 calls:
185.0ms
(/ (- (- (log 1.0) (* 1.0 x)) (* (* (/ x 1.0) (/ x 1.0)) 1/2)) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))

simplify1.7s

Counts
49 → 49
Iterations
IterNodes
done5006
21310
1312
0111

prune275.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (- (log 1.0) (* 1.0 x)) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))) (/ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))))
0.0b
(/ (- (log 1.0) (* 1.0 x)) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
30.4b
(/ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))

rewrite420.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
30×add-cbrt-cube add-exp-log
21×times-frac
20×add-sqr-sqrt
15×add-cube-cbrt
12×distribute-lft-out
11×cbrt-undiv div-exp
10×associate-/r*
9×pow1 prod-exp cbrt-unprod
8×associate-/r/
6×log-pow
5×add-log-exp associate-/l/
4×flip3-+ associate-*l/ flip-+ div-inv associate-/l*
3×distribute-rgt-out--
2×clear-num frac-2neg flip3-- div-sub flip-- difference-of-squares
1×associate--l- frac-times sub-neg diff-log associate-*r/ frac-sub distribute-lft-out-- sub-div
Counts
3 → 99
Calls
3 calls:
296.0ms
(- (/ (- (log 1.0) (* 1.0 x)) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))) (/ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))))
38.0ms
(/ (- (log 1.0) (* 1.0 x)) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
79.0ms
(/ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))

series645.0ms

Counts
3 → 9
Calls
3 calls:
333.0ms
(- (/ (- (log 1.0) (* 1.0 x)) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))) (/ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))))
139.0ms
(/ (- (log 1.0) (* 1.0 x)) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
173.0ms
(/ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))

simplify2.2s

Counts
108 → 108
Iterations
IterNodes
done5004
22778
1659
0227

prune521.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done17
117
015

end0.0ms

sample7.0s

Algorithm
intervals
Results
4.0s3354×body1280valid
1.9s2479×body640valid
469.0ms1310×body320valid
230.0ms8000×pre80true
143.0ms646×body160valid
56.0ms211×body80valid