Details

Time bar (total: 15.2s)

sample241.0ms

Algorithm
intervals
Results
150.0ms113×body1280valid
53.0ms85×body640valid
11.0ms32×body320valid
5.0ms256×pre80true
4.0ms21×body160valid
0.0ms5×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.3b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.7b
(log (+ 1.0 x))
5.7b
(log (- 1.0 x))

rewrite31.0ms

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:
20.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.0ms
(log (+ 1.0 x))
4.0ms
(log (- 1.0 x))

series266.0ms

Counts
3 → 9
Calls
3 calls:
155.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
64.0ms
(log (+ 1.0 x))
46.0ms
(log (- 1.0 x))

simplify824.0ms

Counts
78 → 78
Iterations
IterNodes
done5002
21757
1432
0185

prune401.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 59.3b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (- (+ (log 1.0) (* x 1.0)) (/ (/ (* 1/2 (* x x)) 1.0) 1.0)))
5.7b
(log (- 1.0 x))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
29×times-frac
27×*-un-lft-identity
15×add-cube-cbrt
11×difference-of-squares
10×pow1
8×log-pow
6×associate-/r* distribute-lft-out--
5×log-prod add-exp-log
4×log-div add-cbrt-cube associate-/r/ associate-/l*
3×flip3-- flip--
2×div-sub frac-sub add-log-exp
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp rem-log-exp flip-+ div-inv
Counts
2 → 68
Calls
2 calls:
76.0ms
(/ (log (- 1.0 x)) (- (+ (log 1.0) (* x 1.0)) (/ (/ (* 1/2 (* x x)) 1.0) 1.0)))
5.0ms
(log (- 1.0 x))

series229.0ms

Counts
2 → 6
Calls
2 calls:
169.0ms
(/ (log (- 1.0 x)) (- (+ (log 1.0) (* x 1.0)) (/ (/ (* 1/2 (* x x)) 1.0) 1.0)))
60.0ms
(log (- 1.0 x))

simplify937.0ms

Counts
74 → 74
Iterations
IterNodes
done5001
22434
1544
0227

prune470.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 1 expressions with local error:

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

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
50×*-un-lft-identity
43×times-frac
21×distribute-lft-out-- difference-of-squares
15×add-cube-cbrt
8×pow1
7×log-pow
6×associate-/r* associate-/l*
4×associate-/r/
3×add-cbrt-cube add-exp-log
2×flip3-- frac-sub flip-- associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ div-sub div-exp flip-+ div-inv add-log-exp
Counts
1 → 67
Calls
1 calls:
247.0ms
(/ (- (log 1.0) (+ (* (/ (/ (* x x) 1.0) 1.0) 1/2) (* 1.0 x))) (- (+ (log 1.0) (* x 1.0)) (/ (/ (* 1/2 (* x x)) 1.0) 1.0)))

series170.0ms

Counts
1 → 3
Calls
1 calls:
170.0ms
(/ (- (log 1.0) (+ (* (/ (/ (* x x) 1.0) 1.0) 1/2) (* 1.0 x))) (- (+ (log 1.0) (* x 1.0)) (/ (/ (* 1/2 (* x x)) 1.0) 1.0)))

simplify959.0ms

Counts
70 → 70
Iterations
IterNodes
done5002
21863
1427
0156

prune369.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 2 expressions with local error:

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

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
41×associate-/r/
36×frac-sub
24×associate-/r*
21×flip3-- flip--
15×add-exp-log
12×frac-times associate-*l/ associate-*r/
9×add-cbrt-cube
8×div-exp associate-/l/
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1 flip3-+ flip-+
2×rec-exp clear-num frac-2neg 1-exp add-log-exp
1×div-sub pow-flip inv-pow
Counts
2 → 152
Calls
2 calls:
109.0ms
(/ 1 (/ (- (+ (* 1.0 x) (log 1.0)) (* (/ x 1.0) (/ (* x 1/2) 1.0))) (- (- (log 1.0) (* 1.0 x)) (* (/ x 1.0) (/ (* x 1/2) 1.0)))))
126.0ms
(/ (- (+ (* 1.0 x) (log 1.0)) (* (/ x 1.0) (/ (* x 1/2) 1.0))) (- (- (log 1.0) (* 1.0 x)) (* (/ x 1.0) (/ (* x 1/2) 1.0))))

series311.0ms

Counts
2 → 6
Calls
2 calls:
154.0ms
(/ 1 (/ (- (+ (* 1.0 x) (log 1.0)) (* (/ x 1.0) (/ (* x 1/2) 1.0))) (- (- (log 1.0) (* 1.0 x)) (* (/ x 1.0) (/ (* x 1/2) 1.0)))))
158.0ms
(/ (- (+ (* 1.0 x) (log 1.0)) (* (/ x 1.0) (/ (* x 1/2) 1.0))) (- (- (log 1.0) (* 1.0 x)) (* (/ x 1.0) (/ (* x 1/2) 1.0))))

simplify527.0ms

Counts
158 → 158
Iterations
IterNodes
done5000
1849
0295

prune714.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done22
122
016

end0.0ms

sample8.0s

Algorithm
intervals
Results
4.8s3373×body1280valid
2.1s2524×body640valid
443.0ms1252×body320valid
161.0ms642×body160valid
152.0ms8000×pre80true
17.0ms209×body80valid