Details

Time bar (total: 21.5s)

sample247.0ms

Algorithm
intervals
Results
149.0ms111×body1280valid
52.0ms80×body640valid
16.0ms32×body320valid
5.0ms256×pre80true
5.0ms24×body160valid
1.0ms9×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2119
done119

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
7.2b
(log (- 1.0 x))
7.2b
(log (+ 1.0 x))

rewrite29.0ms

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:
17.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.0ms
(log (- 1.0 x))
5.0ms
(log (+ 1.0 x))

series261.0ms

Counts
3 → 9
Calls
3 calls:
140.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
62.0ms
(log (- 1.0 x))
58.0ms
(log (+ 1.0 x))

simplify2.7s

Counts
78 → 78
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01861203
14261150
212191064
342411008
done50011008

prune286.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 58.2b

localize17.0ms

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)))))
7.2b
(log (- 1.0 x))

rewrite146.0ms

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:
48.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
77.0ms
(/ (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))

series287.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
156.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
50.0ms
(log (- 1.0 x))

simplify1.6s

Counts
172 → 172
Iterations

Useful iterations: done (1.6s)

IterNodesCost
04093188
19532943
225672577
done50012564

prune834.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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)))))

rewrite244.0ms

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:
58.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
48.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
123.0ms
(/ (- (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)))))

series375.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
79.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
201.0ms
(/ (- (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)))))

simplify1.4s

Counts
275 → 275
Iterations

Useful iterations: done (1.4s)

IterNodesCost
03345394
18134934
222014280
done50024254

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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

rewrite400.0ms

Algorithm
rewrite-expression-head
Rules
322×times-frac
248×add-sqr-sqrt
196×*-un-lft-identity
148×add-cube-cbrt
136×associate-*r*
112×unpow-prod-down
63×add-exp-log
48×unpow2 sqr-pow
34×unswap-sqr
32×distribute-lft-out--
30×associate-/r*
26×div-exp
25×pow1
21×add-cbrt-cube
20×prod-exp
16×log-pow difference-of-squares
12×pow-to-exp pow-exp
11×associate-/r/
8×div-inv
6×cbrt-undiv flip3-- associate-*l* flip-- associate-/l*
4×associate-*r/ cbrt-unprod associate-/l/ add-log-exp
2×rec-exp frac-2neg 1-exp pow-prod-down clear-num *-commutative frac-sub
1×pow-flip flip3-+ div-sub flip-+ inv-pow
Counts
4 → 386
Calls
4 calls:
70.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
62.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
94.0ms
(/ 1 (/ (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
152.0ms
(/ (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series423.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
73.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
134.0ms
(/ 1 (/ (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
143.0ms
(/ (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify2.1s

Counts
398 → 398
Iterations

Useful iterations: done (2.1s)

IterNodesCost
046112363
1107711520
2289810479
done500010409

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes79.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01735
12335
done2335

end0.0ms

sample7.5s

Algorithm
intervals
Results
5.0s3323×body1280valid
1.6s2545×body640valid
386.0ms1258×body320valid
147.0ms8000×pre80true
117.0ms645×body160valid
17.0ms229×body80valid