Details

Time bar (total: 20.2s)

sample222.0ms

Algorithm
intervals
Results
143.0ms122×body1280valid
44.0ms77×body640valid
9.0ms32×body320valid
5.0ms256×pre80true
4.0ms22×body160valid
0.0ms3×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.2b
(log (+ 1.0 x))
6.2b
(log (- 1.0 x))

rewrite35.0ms

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:
19.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
7.0ms
(log (+ 1.0 x))
8.0ms
(log (- 1.0 x))

series322.0ms

Counts
3 → 9
Calls
3 calls:
187.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
65.0ms
(log (+ 1.0 x))
71.0ms
(log (- 1.0 x))

simplify1.4s

Counts
78 → 78
Iterations
IterNodes
done5002
21757
1432
0185

prune446.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.8b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/2 (* (/ x 1.0) (/ x 1.0)))
0.0b
(/ (log (- 1.0 x)) (- (+ (log 1.0) (* x 1.0)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))
6.2b
(log (- 1.0 x))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
23×add-cbrt-cube
17×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
13×pow1
12×times-frac associate-*r/
9×prod-exp cbrt-unprod
8×associate-/r/
6×frac-sub
5×cbrt-undiv log-prod div-exp log-pow
4×log-div associate-/l*
3×frac-times associate-/r* flip3-+ flip3-- associate-*l* pow-prod-down associate-*l/ flip-+ flip-- add-log-exp
2×div-sub
1×clear-num frac-2neg rem-log-exp associate-*r* *-commutative div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 85
Calls
3 calls:
41.0ms
(* 1/2 (* (/ x 1.0) (/ x 1.0)))
75.0ms
(/ (log (- 1.0 x)) (- (+ (log 1.0) (* x 1.0)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))
9.0ms
(log (- 1.0 x))

series332.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* 1/2 (* (/ x 1.0) (/ x 1.0)))
212.0ms
(/ (log (- 1.0 x)) (- (+ (log 1.0) (* x 1.0)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))
69.0ms
(log (- 1.0 x))

simplify2.2s

Counts
94 → 94
Iterations
IterNodes
done5000
23169
1678
0268

prune611.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
41×add-cbrt-cube add-exp-log
24×associate-*r/
18×prod-exp cbrt-unprod
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cube-cbrt
12×frac-sub
9×cbrt-undiv times-frac div-exp
8×associate-/r/ associate-/l/
6×frac-times associate-*l* pow-prod-down associate-*l/
5×flip3-- flip--
3×associate-/r* flip3-+ flip-+ associate-/l* add-log-exp
2×associate-*r* *-commutative unswap-sqr
1×clear-num frac-2neg div-sub div-inv
Counts
3 → 100
Calls
3 calls:
51.0ms
(* 1/2 (* (/ x 1.0) (/ x 1.0)))
50.0ms
(* 1/2 (* (/ x 1.0) (/ x 1.0)))
133.0ms
(/ (- (- (log 1.0) (* 1.0 x)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))) (- (+ (log 1.0) (* x 1.0)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))

series251.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* 1/2 (* (/ x 1.0) (/ x 1.0)))
38.0ms
(* 1/2 (* (/ x 1.0) (/ x 1.0)))
170.0ms
(/ (- (- (log 1.0) (* 1.0 x)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))) (- (+ (log 1.0) (* x 1.0)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))

simplify2.3s

Counts
109 → 109
Iterations
IterNodes
done5001
22871
1570
0193

prune644.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (- (+ (log 1.0) (* x 1.0)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))
0.7b
(cbrt (- (- (log 1.0) (* 1.0 x)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))
0.7b
(cbrt (- (- (log 1.0) (* 1.0 x)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))
0.7b
(cbrt (- (- (log 1.0) (* 1.0 x)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-div associate-*r/
24×frac-sub
13×flip3-- flip--
12×cbrt-prod
8×add-sqr-sqrt frac-times *-un-lft-identity associate-*l/ add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
3×flip3-+ flip-+
Counts
4 → 76
Calls
4 calls:
32.0ms
(cbrt (- (+ (log 1.0) (* x 1.0)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))
32.0ms
(cbrt (- (- (log 1.0) (* 1.0 x)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))
24.0ms
(cbrt (- (- (log 1.0) (* 1.0 x)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))
20.0ms
(cbrt (- (- (log 1.0) (* 1.0 x)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
256.0ms
(cbrt (- (+ (log 1.0) (* x 1.0)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))
322.0ms
(cbrt (- (- (log 1.0) (* 1.0 x)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))
288.0ms
(cbrt (- (- (log 1.0) (* 1.0 x)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))
248.0ms
(cbrt (- (- (log 1.0) (* 1.0 x)) (* 1/2 (* (/ x 1.0) (/ x 1.0)))))

simplify2.0s

Counts
88 → 88
Iterations
IterNodes
done5000
22468
1581
0230

prune740.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done16
116
014

end0.0ms

sample6.8s

Algorithm
intervals
Results
4.1s3450×body1280valid
1.5s2497×body640valid
454.0ms1208×body320valid
414.0ms614×body160valid
135.0ms8000×pre80true
16.0ms231×body80valid