Details

Time bar (total: 11.8s)

sample25.0ms

Algorithm
intervals
Results
12.0ms320×body80valid

simplify41.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2377
3677
4797
done797

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize7.0ms

Local error

Found 1 expressions with local error:

10.3b
(/ (* a1 a2) (* b1 b2))

rewrite15.0ms

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:
14.0ms
(/ (* a1 a2) (* b1 b2))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ (* a1 a2) (* b1 b2))

simplify855.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (118.0ms)

IterNodesCost
053269
1152261
2832191
done5000191

prune63.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

9.7b
(* (/ a1 b1) (/ a2 b2))

rewrite36.0ms

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:
32.0ms
(* (/ a1 b1) (/ a2 b2))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* (/ a1 b1) (/ a2 b2))

simplify3.9s

Counts
53 → 53
Iterations

Useful iterations: 2 (239.0ms)

IterNodesCost
0110565
1307543
21075471
34540471
done5001471

prune180.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

4.0b
(* (/ a1 b1) a2)
5.5b
(* (* (/ a1 b1) a2) (/ 1 b2))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
22×add-sqr-sqrt prod-exp
19×times-frac
17×add-cube-cbrt *-un-lft-identity
16×associate-*r*
14×associate-*l*
12×cbrt-unprod
11×div-exp
9×pow1
6×cbrt-undiv
4×pow-prod-down associate-*l/
3×rec-exp 1-exp
2×*-commutative div-inv add-log-exp unswap-sqr
1×frac-times associate-*r/ un-div-inv
Counts
2 → 78
Calls
2 calls:
16.0ms
(* (/ a1 b1) a2)
52.0ms
(* (* (/ a1 b1) a2) (/ 1 b2))

series60.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (/ a1 b1) a2)
33.0ms
(* (* (/ a1 b1) a2) (/ 1 b2))

simplify2.5s

Counts
84 → 84
Iterations

Useful iterations: 2 (264.0ms)

IterNodesCost
0144895
1361757
21238601
done5000601

prune191.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

4.0b
(* (/ a1 b1) a2)
5.5b
(/ (* (/ a1 b1) a2) b2)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*l*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*r* associate-/r*
2×associate-*l/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
2 → 56
Calls
2 calls:
15.0ms
(* (/ a1 b1) a2)
22.0ms
(/ (* (/ a1 b1) a2) b2)

series87.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* (/ a1 b1) a2)
45.0ms
(/ (* (/ a1 b1) a2) b2)

simplify1.9s

Counts
62 → 62
Iterations

Useful iterations: 2 (201.0ms)

IterNodesCost
0105542
1247527
2960439
done5000439

prune139.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes560.0ms

Accuracy

72.5% (3.0b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 11.1b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02575
12975
done2975

end0.0ms

sample989.0ms

Algorithm
intervals
Results
578.0ms10088×body80valid