Details

Time bar (total: 19.0s)

sample206.0ms

Algorithm
intervals
Results
120.0ms103×body1280valid
50.0ms85×body640valid
13.0ms45×body320valid
5.0ms256×pre80true
3.0ms18×body160valid
0.0ms5×body80valid

simplify4.0ms

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: 61.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.7b
(log (- 1.0 x))
5.8b
(log (+ 1.0 x))

rewrite47.0ms

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:
18.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
21.0ms
(log (- 1.0 x))
5.0ms
(log (+ 1.0 x))

series239.0ms

Counts
3 → 9
Calls
3 calls:
152.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
46.0ms
(log (- 1.0 x))
41.0ms
(log (+ 1.0 x))

simplify947.0ms

Counts
78 → 78
Iterations

Useful iterations: done (944.0ms)

IterNodesCost
01861203
14321150
217251066
done50011024

prune260.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 59.2b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
92×times-frac
83×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
49×*-un-lft-identity
47×add-cube-cbrt
29×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×pow1 div-exp prod-exp add-cbrt-cube
6×pow-to-exp pow-exp
5×log-prod log-pow
4×log-div associate-/r/ associate-/l*
3×flip3-- associate-*r/ associate-*l* associate-/r* flip-- add-log-exp
2×cbrt-undiv div-sub frac-sub cbrt-unprod div-inv
1×frac-2neg flip3-+ rem-log-exp pow-prod-down clear-num *-commutative flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 163
Calls
3 calls:
40.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
87.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
5.0ms
(log (- 1.0 x))

series346.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
209.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
58.0ms
(log (- 1.0 x))

simplify678.0ms

Counts
172 → 172
Iterations

Useful iterations: done (670.0ms)

IterNodesCost
04093188
110902943
done50002587

prune750.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
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)))))

rewrite311.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
158×add-sqr-sqrt
136×associate-*r*
112×unpow-prod-down
94×*-un-lft-identity
82×add-cube-cbrt
51×add-exp-log
48×unpow2 sqr-pow
34×unswap-sqr
20×prod-exp
19×div-exp
15×add-cbrt-cube
12×pow-to-exp pow-exp
11×pow1
8×distribute-lft-out--
6×associate-*l* associate-/l*
4×associate-*r/ associate-/r/ log-pow cbrt-unprod difference-of-squares
3×cbrt-undiv associate-/r* div-inv add-log-exp
2×flip3-- pow-prod-down *-commutative frac-sub flip-- associate-/l/
1×frac-2neg flip3-+ div-sub clear-num flip-+
Counts
3 → 266
Calls
3 calls:
69.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
71.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
156.0ms
(/ (- (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)))))

series291.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
79.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
136.0ms
(/ (- (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)))))

simplify2.6s

Counts
275 → 275
Iterations

Useful iterations: done (2.6s)

IterNodesCost
03345394
19444934
245274280
done50014278

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
0.7b
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
0.7b
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
0.7b
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite428.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-div
30×associate-*r/
26×frac-sub
25×cbrt-prod
23×add-sqr-sqrt
16×frac-times
15×add-cube-cbrt *-un-lft-identity
13×flip3-- flip3-+ flip-- flip-+
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
307.0ms
(* (cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
25.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
42.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
42.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series1.4s

Counts
4 → 12
Calls
4 calls:
356.0ms
(* (cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
357.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
346.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
358.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify1.4s

Counts
121 → 121
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02556502
16456058
226035818
done50015455

prune713.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes83.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01533
11933
done1933

end0.0ms

sample6.8s

Algorithm
intervals
Results
4.4s3302×body1280valid
1.6s2624×body640valid
351.0ms1248×body320valid
133.0ms8000×pre80true
99.0ms611×body160valid
15.0ms215×body80valid