Details

Time bar (total: 23.2s)

sample201.0ms

Algorithm
intervals
Results
116.0ms99×body1280valid
50.0ms85×body640valid
10.0ms38×body320valid
8.0ms256×pre80true
3.0ms25×body160valid
1.0ms9×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2119
done119

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
8.0b
(log (+ 1.0 x))
8.0b
(log (- 1.0 x))

rewrite43.0ms

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:
21.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
9.0ms
(log (+ 1.0 x))
10.0ms
(log (- 1.0 x))

series308.0ms

Counts
3 → 9
Calls
3 calls:
158.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
63.0ms
(log (+ 1.0 x))
87.0ms
(log (- 1.0 x))

simplify2.9s

Counts
78 → 78
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01861203
14261150
212211064
342511008
done50001008

prune339.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 58.2b

localize19.0ms

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)))))
8.0b
(log (- 1.0 x))

rewrite164.0ms

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:
62.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
86.0ms
(/ (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))

series344.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
219.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
57.0ms
(log (- 1.0 x))

simplify1.7s

Counts
172 → 172
Iterations

Useful iterations: done (1.7s)

IterNodesCost
04093188
19532943
225672577
done50012564

prune801.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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)))
0.1b
(/ (- (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)))))

rewrite290.0ms

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:
59.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
51.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
163.0ms
(/ (- (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)))))

series379.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
86.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
196.0ms
(/ (- (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)))))

simplify1.5s

Counts
275 → 275
Iterations

Useful iterations: done (1.5s)

IterNodesCost
03345394
18134934
222014280
done50024254

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

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)))
0.0b
(* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
26.7b
(/ (- (* (log 1.0) (log 1.0)) (* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (+ (* (+ (* 1.0 x) (log 1.0)) (+ (* 1.0 x) (log 1.0))) (* -1/4 (/ (pow x 4) (pow 1.0 4)))))

rewrite284.0ms

Algorithm
rewrite-expression-head
Rules
172×times-frac
155×add-sqr-sqrt
139×associate-*r*
112×unpow-prod-down
85×add-cube-cbrt *-un-lft-identity
54×add-exp-log
48×unpow2 sqr-pow
35×unswap-sqr
21×prod-exp
19×div-exp
18×add-cbrt-cube
15×pow1
14×associate-*r/
13×flip3-+ flip-+
12×pow-to-exp pow-exp
10×associate-/r/
9×associate-*l*
8×frac-times frac-add
5×cbrt-unprod
4×associate-*l/ associate-/l* add-log-exp difference-of-squares
3×cbrt-undiv swap-sqr pow-prod-down associate-/r* *-commutative div-inv
2×associate-/l/
1×pow2 distribute-rgt-in flip3-- frac-2neg distribute-lft-in pow-plus div-sub clear-num pow-sqr pow-prod-up flip--
Counts
4 → 299
Calls
4 calls:
52.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
58.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
73.0ms
(* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
82.0ms
(/ (- (* (log 1.0) (log 1.0)) (* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (+ (* (+ (* 1.0 x) (log 1.0)) (+ (* 1.0 x) (log 1.0))) (* -1/4 (/ (pow x 4) (pow 1.0 4)))))

series501.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
78.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
68.0ms
(* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
269.0ms
(/ (- (* (log 1.0) (log 1.0)) (* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (+ (* (+ (* 1.0 x) (log 1.0)) (+ (* 1.0 x) (log 1.0))) (* -1/4 (/ (pow x 4) (pow 1.0 4)))))

simplify2.5s

Counts
311 → 311
Iterations

Useful iterations: done (2.5s)

IterNodesCost
04308269
111567538
240306568
done50015856

prune2.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes93.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01533
11933
done1933

end0.0ms

sample7.5s

Algorithm
intervals
Results
4.9s3432×body1280valid
1.6s2508×body640valid
464.0ms1191×body320valid
224.0ms8000×pre80true
115.0ms655×body160valid
16.0ms214×body80valid