Details

Time bar (total: 12.7s)

sample32.0ms

Algorithm
intervals
Results
12.0ms322×body80valid

simplify49.0ms

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: 9.9b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

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:
21.0ms
(/ (* a1 a2) (* b1 b2))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(/ (* a1 a2) (* b1 b2))

simplify866.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (119.0ms)

IterNodesCost
053269
1152261
2832191
done5000191

prune62.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

9.4b
(* (/ a1 b1) (/ a2 b2))

rewrite31.0ms

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:
29.0ms
(* (/ a1 b1) (/ a2 b2))

series43.0ms

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

simplify3.7s

Counts
53 → 53
Iterations

Useful iterations: 2 (223.0ms)

IterNodesCost
0110565
1307543
21075471
34540471
done5001471

prune154.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

3.3b
(/ (/ a2 b2) b1)
7.0b
(* a1 (/ (/ a2 b2) b1))

rewrite65.0ms

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:
23.0ms
(/ (/ a2 b2) b1)
34.0ms
(* a1 (/ (/ a2 b2) b1))

series58.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (/ a2 b2) b1)
32.0ms
(* a1 (/ (/ a2 b2) b1))

simplify1.5s

Counts
141 → 141
Iterations

Useful iterations: 2 (427.0ms)

IterNodesCost
02201625
15251512
214341412
done50011412

prune570.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

3.9b
(* a1 (/ a2 b2))
6.7b
(/ (* a1 (/ a2 b2)) b1)

rewrite54.0ms

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:
25.0ms
(* a1 (/ a2 b2))
27.0ms
(/ (* a1 (/ a2 b2)) b1)

series77.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* a1 (/ a2 b2))
45.0ms
(/ (* a1 (/ a2 b2)) b1)

simplify3.5s

Counts
62 → 62
Iterations

Useful iterations: 2 (172.0ms)

IterNodesCost
0106560
1261533
2875447
34300447
done5001447

prune157.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes646.0ms

Accuracy

74% (2.8b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 10.9b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03082
13582
done3582

end0.0ms

sample1.1s

Algorithm
intervals
Results
506.0ms10013×body80valid