Details

Time bar (total: 12.6s)

sample45.0ms

Algorithm
intervals
Results
17.0ms327×body80valid

simplify88.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2377
3677
4797
done797

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize14.0ms

Local error

Found 1 expressions with local error:

11.5b
(/ (* 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:
28.0ms
(/ (* a1 a2) (* b1 b2))

series63.0ms

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

simplify957.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
053269
1152261
2832191
done5000191

prune97.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

7.8b
(* (/ a1 b1) (/ a2 b2))

rewrite48.0ms

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:
44.0ms
(* (/ a1 b1) (/ a2 b2))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(* (/ a1 b1) (/ a2 b2))

simplify3.7s

Counts
53 → 53
Iterations

Useful iterations: 2 (301.0ms)

IterNodesCost
0110565
1307543
21075471
34540471
done5001471

prune129.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

3.7b
(* a1 (/ a2 b2))
5.2b
(/ (* a1 (/ a2 b2)) b1)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*l* associate-/r*
2×associate-*r/ 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:
22.0ms
(* a1 (/ a2 b2))
13.0ms
(/ (* a1 (/ a2 b2)) b1)

series60.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* a1 (/ a2 b2))
31.0ms
(/ (* a1 (/ a2 b2)) b1)

simplify3.0s

Counts
62 → 62
Iterations

Useful iterations: 2 (136.0ms)

IterNodesCost
0106560
1261533
2875447
34300447
done5001447

prune160.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

4.4b
(/ (/ a2 b2) b1)
6.0b
(* a1 (/ (/ a2 b2) b1))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
89×add-sqr-sqrt
80×add-cube-cbrt *-un-lft-identity
43×associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-/l*
9×div-inv
6×cbrt-undiv div-exp
4×pow1
3×associate-*l* prod-exp associate-/r* cbrt-unprod unswap-sqr
2×add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 135
Calls
2 calls:
12.0ms
(/ (/ a2 b2) b1)
55.0ms
(* a1 (/ (/ a2 b2) b1))

series67.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (/ a2 b2) b1)
44.0ms
(* a1 (/ (/ a2 b2) b1))

simplify1.4s

Counts
141 → 141
Iterations

Useful iterations: 2 (286.0ms)

IterNodesCost
02201625
15251512
214341412
done50011412

prune459.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes642.0ms

Accuracy

64.6% (3.9b remaining)

Error of 3.9b against oracle of 0.0b and baseline of 10.9b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03288
14088
done4088

end0.0ms

sample1.5s

Algorithm
intervals
Results
900.0ms10006×body80valid