Details

Time bar (total: 10.7s)

sample39.0ms

Algorithm
intervals
Results
14.0ms303×body80valid

simplify50.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2377
3677
4797
done797

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize8.0ms

Local error

Found 1 expressions with local error:

9.5b
(/ (* a1 a2) (* b1 b2))

rewrite14.0ms

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:
13.0ms
(/ (* a1 a2) (* b1 b2))

series32.0ms

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

simplify964.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (115.0ms)

IterNodesCost
053269
1155261
2900191
done5000191

prune86.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

3.3b
(/ (* a1 a2) b1)
7.3b
(/ (/ (* a1 a2) b1) b2)

rewrite53.0ms

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
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/l/
Counts
2 → 69
Calls
2 calls:
21.0ms
(/ (* a1 a2) b1)
27.0ms
(/ (/ (* a1 a2) b1) b2)

series69.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (* a1 a2) b1)
37.0ms
(/ (/ (* a1 a2) b1) b2)

simplify759.0ms

Counts
75 → 75
Iterations

Useful iterations: done (757.0ms)

IterNodesCost
0123815
1315780
21736708
done5000704

prune250.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

4.3b
(/ (* b1 b2) a2)
7.4b
(/ a1 (/ (* b1 b2) a2))

rewrite35.0ms

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:
19.0ms
(/ (* b1 b2) a2)
11.0ms
(/ a1 (/ (* b1 b2) a2))

series76.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* b1 b2) a2)
54.0ms
(/ a1 (/ (* b1 b2) a2))

simplify798.0ms

Counts
75 → 75
Iterations

Useful iterations: done (796.0ms)

IterNodesCost
0123824
1327795
21670721
done5001709

prune204.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

11.2b
(* (/ a1 b1) (/ a2 b2))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×add-cube-cbrt *-un-lft-identity
13×add-exp-log associate-*r* associate-*l* add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 50
Calls
1 calls:
37.0ms
(* (/ a1 b1) (/ a2 b2))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(* (/ a1 b1) (/ a2 b2))

simplify1.6s

Counts
53 → 53
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0110565
1330547
22060479
done5000471

prune187.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes611.0ms

Accuracy

79.7% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 11.1b

bsearch2.0ms

simplify3.6s

Iterations

Useful iterations: 4 (7.0ms)

IterNodesCost
02275
12869
23163
33757
44056
54656
65956
77456
89856
915156
1020456
1139256
1258056
13130856
14203656
15492456
done500156

end0.0ms

sample1.1s

Algorithm
intervals
Results
448.0ms9940×body80valid