Details

Time bar (total: 8.3s)

sample26.0ms

Algorithm
intervals
Results
9.0ms315×body80valid

simplify37.0ms

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: 11.8b

localize8.0ms

Local error

Found 1 expressions with local error:

11.4b
(/ (* a1 a2) (* b1 b2))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×add-sqr-sqrt pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
15.0ms
(/ (* a1 a2) (* b1 b2))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.3s

Counts
24 → 24
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
055269
1162261
2950191
done5000191

prune147.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

9.6b
(* (/ a1 b1) (/ a2 b2))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×*-un-lft-identity add-cube-cbrt
13×add-cbrt-cube associate-*r* associate-*l* add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative add-log-exp
Counts
1 → 50
Calls
1 calls:
35.0ms
(* (/ a1 b1) (/ a2 b2))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* (/ a1 b1) (/ a2 b2))

simplify1.4s

Counts
53 → 53
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0111565
1331547
22032479
done5001471

prune272.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

4.8b
(* a1 (/ a2 b2))
5.0b
(/ (* a1 (/ a2 b2)) b1)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
13×times-frac associate-*r*
12×*-un-lft-identity add-cube-cbrt
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-/r* associate-*l*
2×associate-*r/ div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l* associate-/l/
Counts
2 → 56
Calls
2 calls:
14.0ms
(* a1 (/ a2 b2))
10.0ms
(/ (* a1 (/ a2 b2)) b1)

series76.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* a1 (/ a2 b2))
37.0ms
(/ (* a1 (/ a2 b2)) b1)

simplify844.0ms

Counts
62 → 62
Iterations

Useful iterations: done (841.0ms)

IterNodesCost
0107560
1284537
21321461
done5001459

prune335.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

5.0b
(/ (/ (* a1 a2) b2) b1)
5.7b
(/ (* a1 a2) b2)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×pow1 clear-num frac-2neg prod-exp cbrt-unprod add-log-exp
1×associate-/l/
Counts
2 → 69
Calls
2 calls:
10.0ms
(/ (/ (* a1 a2) b2) b1)
9.0ms
(/ (* a1 a2) b2)

series71.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (/ (* a1 a2) b2) b1)
34.0ms
(/ (* a1 a2) b2)

simplify906.0ms

Counts
75 → 75
Iterations

Useful iterations: done (904.0ms)

IterNodesCost
0123815
1316780
21747710
done5000698

prune344.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes933.0ms

Accuracy

72.5% (3.1b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 11.4b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02677
13175
23275
done3275

end0.0ms

sample1.4s

Algorithm
intervals
Results
492.0ms10024×body80valid