Details

Time bar (total: 40.1s)

sample43.0ms

Algorithm
intervals
Results
17.0ms316×body80valid

simplify48.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1347
2937
done937

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize18.0ms

Local error

Found 1 expressions with local error:

11.1b
(/ (* a1 a2) (* b1 b2))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
27.0ms
(/ (* a1 a2) (* b1 b2))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (* a1 a2) (* b1 b2))

simplify10.3s

Counts
24 → 24
Iterations

Useful iterations: done (10.3s)

IterNodesCost
053269
1659261
done5001191

prune60.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

5.5b
(/ (* b1 b2) a2)
6.4b
(/ a1 (/ (* b1 b2) a2))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/r/
Counts
2 → 69
Calls
2 calls:
17.0ms
(/ (* b1 b2) a2)
12.0ms
(/ a1 (/ (* b1 b2) a2))

series81.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (* b1 b2) a2)
46.0ms
(/ a1 (/ (* b1 b2) a2))

simplify6.5s

Counts
75 → 75
Iterations

Useful iterations: done (6.5s)

IterNodesCost
0123824
11217791
done5000703

prune707.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (/ (* b1 b2) a2))
5.5b
(/ (* b1 b2) a2)
6.5b
(* a1 (/ 1 (/ (* b1 b2) a2)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
68×times-frac
61×add-exp-log
43×add-sqr-sqrt
37×*-un-lft-identity
36×add-cube-cbrt
31×add-cbrt-cube
26×div-exp associate-*r*
17×prod-exp
12×cbrt-undiv
10×associate-/r* div-inv
7×cbrt-unprod
6×pow1 rec-exp 1-exp
4×associate-/l*
3×associate-*l* add-log-exp unswap-sqr
2×frac-2neg clear-num associate-/r/
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 134
Calls
3 calls:
21.0ms
(/ 1 (/ (* b1 b2) a2))
11.0ms
(/ (* b1 b2) a2)
69.0ms
(* a1 (/ 1 (/ (* b1 b2) a2)))

series115.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ 1 (/ (* b1 b2) a2))
27.0ms
(/ (* b1 b2) a2)
63.0ms
(* a1 (/ 1 (/ (* b1 b2) a2)))

simplify13.1s

Counts
143 → 143
Iterations

Useful iterations: done (13.1s)

IterNodesCost
01781608
131991243
done50001099

prune307.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ 1 (/ (/ (* b1 b2) a2) a1))
5.5b
(/ (* b1 b2) a2)
6.4b
(/ (/ (* b1 b2) a2) a1)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
103×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
51×add-exp-log
31×associate-/r* add-cbrt-cube
30×div-exp
23×div-inv
16×cbrt-undiv
11×associate-/l*
5×prod-exp
4×pow1 rec-exp 1-exp
3×frac-2neg clear-num cbrt-unprod add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
3 → 201
Calls
3 calls:
37.0ms
(/ 1 (/ (/ (* b1 b2) a2) a1))
20.0ms
(/ (* b1 b2) a2)
34.0ms
(/ (/ (* b1 b2) a2) a1)

series111.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ 1 (/ (/ (* b1 b2) a2) a1))
29.0ms
(/ (* b1 b2) a2)
38.0ms
(/ (/ (* b1 b2) a2) a1)

simplify5.6s

Counts
210 → 210
Iterations

Useful iterations: done (5.6s)

IterNodesCost
03003182
129922720
done50012558

prune482.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes584.0ms

Accuracy

59.7% (4.6b remaining)

Error of 4.6b against oracle of 0.0b and baseline of 11.4b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03185
13585
done3585

end0.0ms

sample1.6s

Algorithm
intervals
Results
911.0ms10017×body80valid