Details

Time bar (total: 26.7s)

sample266.0ms

Algorithm
intervals
Results
155.0ms105×body1280valid
64.0ms85×body640valid
15.0ms41×body320valid
6.0ms256×pre80true
4.0ms20×body160valid
0.0ms5×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2119
done119

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize49.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.0b
(log (+ 1.0 x))
6.0b
(log (- 1.0 x))

rewrite51.0ms

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:
30.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
8.0ms
(log (+ 1.0 x))
9.0ms
(log (- 1.0 x))

series338.0ms

Counts
3 → 9
Calls
3 calls:
195.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
65.0ms
(log (+ 1.0 x))
79.0ms
(log (- 1.0 x))

simplify1.2s

Counts
78 → 78
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01861203
14321150
217501064
done50021043

prune461.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.9b

localize41.0ms

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)))))
6.0b
(log (- 1.0 x))

rewrite220.0ms

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:
69.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
127.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
9.0ms
(log (- 1.0 x))

series396.0ms

Counts
3 → 9
Calls
3 calls:
111.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
216.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
69.0ms
(log (- 1.0 x))

simplify947.0ms

Counts
172 → 172
Iterations

Useful iterations: done (934.0ms)

IterNodesCost
04093188
110902943
done50002587

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

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)))))

rewrite408.0ms

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:
84.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
83.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
208.0ms
(/ (- (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)))))

series455.0ms

Counts
3 → 9
Calls
3 calls:
112.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
108.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
234.0ms
(/ (- (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)))))

simplify3.6s

Counts
275 → 275
Iterations

Useful iterations: done (3.6s)

IterNodesCost
03345394
19444934
245274280
done50014278

prune1.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 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)))
0.1b
(/ (sqrt (- (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)))))
0.1b
(* (sqrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (/ (sqrt (- (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))))))

rewrite864.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
208×add-sqr-sqrt
171×associate-*r*
132×*-un-lft-identity
112×unpow-prod-down
108×add-cube-cbrt
57×add-exp-log
53×sqrt-prod
48×unpow2 sqr-pow
40×unswap-sqr
22×prod-exp
21×add-cbrt-cube
20×div-exp
18×pow1
16×distribute-lft-out--
15×associate-*l*
12×pow-to-exp pow-exp
9×associate-/l*
8×associate-/r/ log-pow difference-of-squares
7×associate-*r/
6×sqrt-div cbrt-unprod
5×flip3-- flip--
4×cbrt-undiv frac-sub div-inv add-log-exp
3×pow-prod-down associate-/r* *-commutative
2×frac-times flip3-+ associate-*l/ flip-+ associate-/l/
1×frac-2neg clear-num
Counts
4 → 345
Calls
4 calls:
82.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
80.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
182.0ms
(/ (sqrt (- (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)))))
475.0ms
(* (sqrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (/ (sqrt (- (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))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
120.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
107.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
567.0ms
(/ (sqrt (- (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)))))
225.0ms
(* (sqrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (/ (sqrt (- (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))))))

simplify1.1s

Counts
357 → 357
Iterations

Useful iterations: done (1.1s)

IterNodesCost
045810746
112579980
done50008549

prune2.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01533
11933
done1933

end0.0ms

sample9.1s

Algorithm
intervals
Results
5.2s3368×body1280valid
2.0s2501×body640valid
728.0ms8000×pre80true
527.0ms1277×body320valid
137.0ms639×body160valid
20.0ms215×body80valid