Details

Time bar (total: 2.5s)

sample19.0ms

Algorithm
intervals
Results
7.0ms313×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1373
2673
3793
4793
done793

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:
12.0ms
(/ (* a1 a2) (* b1 b2))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(/ (* a1 a2) (* b1 b2))

simplify26.0ms

Counts
24 → 24
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0160124
193689
2500189
done500189

prune37.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:
13.0ms
(/ (/ (* a1 a2) b1) b2)
9.0ms
(/ (* a1 a2) b1)

series54.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (/ (* a1 a2) b1) b2)
23.0ms
(/ (* a1 a2) b1)

simplify37.0ms

Counts
75 → 75
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0301392
11329347
25001347
done5001347

prune140.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

5.2b
(/ (* a1 a2) b1)
5.3b
(* (/ (* a1 a2) b1) (/ 1 b2))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
20×add-sqr-sqrt
17×times-frac prod-exp
16×div-exp
14×*-un-lft-identity
13×add-cube-cbrt associate-*r*
9×cbrt-undiv cbrt-unprod
7×associate-*l*
4×pow1
3×rec-exp 1-exp associate-/r* div-inv unswap-sqr
2×add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num un-div-inv *-commutative associate-/l*
Counts
2 → 75
Calls
2 calls:
9.0ms
(/ (* a1 a2) b1)
28.0ms
(* (/ (* a1 a2) b1) (/ 1 b2))

series49.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (* a1 a2) b1)
29.0ms
(* (/ (* a1 a2) b1) (/ 1 b2))

simplify48.0ms

Counts
81 → 81
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0396427
12159339
25002327
done5002327

prune120.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

5.2b
(/ (/ a1 (/ b1 a2)) b2)
6.2b
(/ a1 (/ b1 a2))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
229×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
47×associate-/l*
22×div-inv
16×add-exp-log associate-/r* add-cbrt-cube
9×cbrt-undiv div-exp
5×associate-/r/
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 266
Calls
2 calls:
22.0ms
(/ (/ a1 (/ b1 a2)) b2)
9.0ms
(/ a1 (/ b1 a2))

series55.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (/ a1 (/ b1 a2)) b2)
26.0ms
(/ a1 (/ b1 a2))

simplify108.0ms

Counts
272 → 272
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011132333
148562244
250012244
done50012244

prune628.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes385.0ms

Accuracy

70% (3.4b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 11.3b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
02727
13027
23618
33918
44518
55618
66318
76418
86418
done6418

end0.0ms

sample551.0ms

Algorithm
intervals
Results
224.0ms9969×body80valid