Details

Time bar (total: 19.6s)

sample175.0ms

Algorithm
intervals
Results
103.0ms108×body1280valid
41.0ms86×body640valid
10.0ms38×body320valid
4.0ms256×pre80true
2.0ms17×body160valid
0.0ms7×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.1b

localize13.0ms

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))

rewrite37.0ms

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:
27.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.0ms
(log (+ 1.0 x))
4.0ms
(log (- 1.0 x))

series677.0ms

Counts
3 → 9
Calls
3 calls:
176.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
455.0ms
(log (+ 1.0 x))
46.0ms
(log (- 1.0 x))

simplify1.2s

Counts
78 → 78
Iterations
IterNodes
done5002
21757
1432
0185

prune446.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 60.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (- (+ (log 1.0) (* x 1.0)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))
6.1b
(log (- 1.0 x))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×times-frac add-cube-cbrt
8×associate-*r/ associate-/r/
7×pow1
6×frac-sub
5×log-prod add-exp-log log-pow
4×log-div add-cbrt-cube associate-/l*
3×associate-/r* flip3-+ flip3-- flip-+ flip--
2×frac-times div-sub associate-*l/ add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp rem-log-exp div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
79.0ms
(/ (log (- 1.0 x)) (- (+ (log 1.0) (* x 1.0)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))
4.0ms
(log (- 1.0 x))

series247.0ms

Counts
2 → 6
Calls
2 calls:
168.0ms
(/ (log (- 1.0 x)) (- (+ (log 1.0) (* x 1.0)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))
79.0ms
(log (- 1.0 x))

simplify1.6s

Counts
63 → 63
Iterations
IterNodes
done5000
22462
1556
0224

prune373.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite330.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
20×add-sqr-sqrt
18×times-frac
12×add-cube-cbrt
8×associate-*r/ associate-/r/ distribute-lft-out--
6×frac-sub associate-/l*
5×pow1
4×log-pow difference-of-squares
3×associate-/r* flip3-+ add-cbrt-cube add-exp-log flip-+
2×frac-times flip3-- associate-*l/ flip-- associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
328.0ms
(/ (- (log 1.0) (+ (* 1/2 (* (/ x 1.0) (/ x 1.0))) (* x 1.0))) (- (+ (log 1.0) (* x 1.0)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))

series137.0ms

Counts
1 → 3
Calls
1 calls:
137.0ms
(/ (- (log 1.0) (+ (* 1/2 (* (/ x 1.0) (/ x 1.0))) (* x 1.0))) (- (+ (log 1.0) (* x 1.0)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))

simplify2.1s

Counts
53 → 53
Iterations
IterNodes
done5002
21862
1422
0145

prune350.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 2 expressions with local error:

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

rewrite497.0ms

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 associate-*r/ associate-/l/
6×flip3-- frac-sub div-inv flip-- associate-/l*
4×cbrt-undiv
3×flip3-+ flip-+
2×frac-times rec-exp clear-num frac-2neg 1-exp associate-*l/ add-log-exp
1×div-sub pow-flip inv-pow
Counts
2 → 170
Calls
2 calls:
205.0ms
(/ 1 (/ (- (+ (log 1.0) (* x 1.0)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))) (- (log 1.0) (+ (* 1/2 (* (/ x 1.0) (/ x 1.0))) (* x 1.0)))))
284.0ms
(/ (- (+ (log 1.0) (* x 1.0)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))) (- (log 1.0) (+ (* 1/2 (* (/ x 1.0) (/ x 1.0))) (* x 1.0))))

series285.0ms

Counts
2 → 6
Calls
2 calls:
138.0ms
(/ 1 (/ (- (+ (log 1.0) (* x 1.0)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))) (- (log 1.0) (+ (* 1/2 (* (/ x 1.0) (/ x 1.0))) (* x 1.0)))))
146.0ms
(/ (- (+ (log 1.0) (* x 1.0)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))) (- (log 1.0) (+ (* 1/2 (* (/ x 1.0) (/ x 1.0))) (* x 1.0))))

simplify2.6s

Counts
176 → 176
Iterations
IterNodes
done5000
23798
1719
0256

prune873.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done22
122
016

end0.0ms

sample7.4s

Algorithm
intervals
Results
4.5s3451×body1280valid
1.6s2444×body640valid
616.0ms8000×pre80true
382.0ms1275×body320valid
104.0ms609×body160valid
17.0ms221×body80valid