Details

Time bar (total: 22.9s)

sample238.0ms

Algorithm
intervals
Results
142.0ms111×body1280valid
59.0ms88×body640valid
10.0ms29×body320valid
6.0ms256×pre80true
4.0ms21×body160valid
1.0ms7×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: 61.7b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.3b
(log (+ 1.0 x))
5.4b
(log (- 1.0 x))

rewrite32.0ms

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)))
5.0ms
(log (+ 1.0 x))
7.0ms
(log (- 1.0 x))

series643.0ms

Counts
3 → 9
Calls
3 calls:
176.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
76.0ms
(log (+ 1.0 x))
391.0ms
(log (- 1.0 x))

simplify2.9s

Counts
78 → 78
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01861203
14261150
212211064
342511008
done50001008

prune285.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.1b

localize18.0ms

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)))))
5.4b
(log (- 1.0 x))

rewrite175.0ms

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:
72.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
82.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
6.0ms
(log (- 1.0 x))

series313.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
193.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
52.0ms
(log (- 1.0 x))

simplify1.7s

Counts
172 → 172
Iterations

Useful iterations: done (1.7s)

IterNodesCost
04093188
19532943
225672577
done50012564

prune727.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

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)))))

rewrite279.0ms

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)))
71.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
130.0ms
(/ (- (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)))))

series317.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
74.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
178.0ms
(/ (- (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)))))

simplify1.6s

Counts
275 → 275
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03345394
18134934
222014280
done50024254

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b
(cbrt (pow (/ (- (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))))) 3))
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)))))
0.0b
(pow (/ (- (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))))) 3)

rewrite499.0ms

Algorithm
rewrite-expression-head
Rules
170×times-frac
157×add-sqr-sqrt
139×*-un-lft-identity
108×unpow-prod-down
91×add-cube-cbrt
68×associate-*r*
58×cbrt-prod
52×cube-prod
32×add-exp-log distribute-lft-out--
26×sqr-pow
24×unpow2
23×pow1
20×associate-/r/
17×unswap-sqr
16×log-pow difference-of-squares
14×add-cbrt-cube
11×associate-*r/ div-exp
10×prod-exp frac-sub
8×pow-exp
7×pow-to-exp
6×flip3-- flip-- div-inv associate-/l*
5×flip3-+ flip-+
4×add-log-exp
3×cbrt-undiv pow-unpow associate-*l* associate-/r*
2×cube-div cube-mult unpow3 cbrt-unprod associate-/l/ rem-cube-cbrt
1×cbrt-div pow-pow frac-2neg pow1/3 div-sub pow-prod-down clear-num *-commutative rem-cbrt-cube
Counts
4 → 296
Calls
4 calls:
44.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
118.0ms
(cbrt (pow (/ (- (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))))) 3))
159.0ms
(/ (- (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)))))
156.0ms
(pow (/ (- (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))))) 3)

series622.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
156.0ms
(cbrt (pow (/ (- (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))))) 3))
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)))))
253.0ms
(pow (/ (- (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))))) 3)

simplify2.4s

Counts
308 → 308
Iterations

Useful iterations: done (2.3s)

IterNodesCost
045613083
1120312055
2361611052
done500111039

prune1.4s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes126.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01533
11933
done1933

end0.0ms

sample7.3s

Algorithm
intervals
Results
4.2s3345×body1280valid
1.8s2543×body640valid
554.0ms8000×pre80true
376.0ms1228×body320valid
113.0ms645×body160valid
21.0ms239×body80valid