Details

Time bar (total: 11.0s)

sample152.0ms

Algorithm
intervals
Results
98.0ms113×body1280valid
29.0ms74×body640valid
9.0ms48×body320valid
4.0ms256×pre80true
1.0ms13×body160valid
0.0ms8×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1109
2119
done119

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

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:
8.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

series216.0ms

Counts
3 → 9
Calls
3 calls:
126.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
46.0ms
(log (+ 1.0 x))
44.0ms
(log (- 1.0 x))

simplify539.0ms

Counts
78 → 78
Iterations

Useful iterations: done (536.0ms)

IterNodesCost
01861203
14261150
213311064
done50001041

prune205.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 59.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
5.4b
(log (- 1.0 x))

rewrite68.0ms

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:
29.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
28.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
3.0ms
(log (- 1.0 x))

series245.0ms

Counts
3 → 9
Calls
3 calls:
144.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
56.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
44.0ms
(log (- 1.0 x))

simplify1.0s

Counts
172 → 172
Iterations

Useful iterations: 2 (540.0ms)

IterNodesCost
04093188
19962943
232042641
done50002641

prune521.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)))))

rewrite119.0ms

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:
28.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
31.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
41.0ms
(/ (- (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)))))

series233.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
56.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
127.0ms
(/ (- (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)))))

simplify957.0ms

Counts
275 → 275
Iterations

Useful iterations: 2 (541.0ms)

IterNodesCost
03345394
18554926
227564280
done50004280

prune763.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (log (+ 1.0 x)))
0.0b
(* (log (- 1.0 x)) (/ 1 (log (+ 1.0 x))))
5.4b
(log (+ 1.0 x))
5.4b
(log (- 1.0 x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
29×*-un-lft-identity
26×times-frac
24×add-cube-cbrt
19×add-exp-log
17×pow1
16×associate-*r*
11×add-cbrt-cube
10×log-pow
9×log-prod
4×log-div div-exp associate-*l* prod-exp associate-/r* add-log-exp
3×associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp rem-log-exp cbrt-unprod div-inv
1×flip3-- pow-flip frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num un-div-inv *-commutative flip-- flip-+ distribute-lft-out distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 106
Calls
4 calls:
2.0ms
(/ 1 (log (+ 1.0 x)))
10.0ms
(* (log (- 1.0 x)) (/ 1 (log (+ 1.0 x))))
2.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

series310.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(/ 1 (log (+ 1.0 x)))
133.0ms
(* (log (- 1.0 x)) (/ 1 (log (+ 1.0 x))))
42.0ms
(log (+ 1.0 x))
49.0ms
(log (- 1.0 x))

simplify690.0ms

Counts
118 → 118
Iterations

Useful iterations: 2 (239.0ms)

IterNodesCost
02471688
16041492
218701336
done50001336

prune213.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes39.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01533
11933
done1933

end0.0ms

sample4.6s

Algorithm
intervals
Results
3.0s3394×body1280valid
1.0s2535×body640valid
251.0ms1242×body320valid
106.0ms8000×pre80true
69.0ms609×body160valid
11.0ms220×body80valid