Details

Time bar (total: 10.5s)

sample44.0ms

Algorithm
intervals
Results
17.0ms316×body80valid

simplify63.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2377
3677
4797
done797

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize8.0ms

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))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ (* a1 a2) (* b1 b2))

simplify944.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (129.0ms)

IterNodesCost
053269
1152261
2832191
done5000191

prune93.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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:
18.0ms
(/ (* b1 b2) a2)
28.0ms
(/ a1 (/ (* b1 b2) a2))

series78.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (* b1 b2) a2)
44.0ms
(/ a1 (/ (* b1 b2) a2))

simplify1.6s

Counts
75 → 75
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0123824
1280791
21047703
done5001697

prune245.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×div-inv add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 48
Calls
2 calls:
8.0ms
(/ a2 (* b1 b2))
34.0ms
(* a1 (/ a2 (* b1 b2)))

series65.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ a2 (* b1 b2))
39.0ms
(* a1 (/ a2 (* b1 b2)))

simplify3.3s

Counts
54 → 54
Iterations

Useful iterations: 2 (151.0ms)

IterNodesCost
078485
1187472
2699386
34303386
done5000386

prune122.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

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)

rewrite61.0ms

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:
22.0ms
(/ 1 (/ (/ (* b1 b2) a2) a1))
10.0ms
(/ (* b1 b2) a2)
14.0ms
(/ (/ (* b1 b2) a2) a1)

series122.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(/ 1 (/ (/ (* b1 b2) a2) a1))
24.0ms
(/ (* b1 b2) a2)
32.0ms
(/ (/ (* b1 b2) a2) a1)

simplify1.4s

Counts
210 → 210
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03003182
17082773
217462348
done50002318

prune468.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes528.0ms

Accuracy

57.4% (4.6b remaining)

Error of 4.6b against oracle of 0.0b and baseline of 10.7b

bsearch3.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03181
13681
done3681

end0.0ms

sample1.2s

Algorithm
intervals
Results
466.0ms10017×body80valid