Details

Time bar (total: 6.6s)

sample30.0ms

Algorithm
intervals
Results
9.0ms330×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: 11.3b

localize6.0ms

Local error

Found 1 expressions with local error:

11.0b
(/ (* a1 a2) (* b1 b2))

rewrite17.0ms

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:
16.0ms
(/ (* a1 a2) (* b1 b2))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.2s

Counts
24 → 24
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
053269
1155261
2900191
done5000191

prune69.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

4.7b
(/ (* b1 b2) a2)
7.0b
(/ a1 (/ (* b1 b2) a2))

rewrite49.0ms

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
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/r/
Counts
2 → 69
Calls
2 calls:
19.0ms
(/ (* b1 b2) a2)
19.0ms
(/ a1 (/ (* b1 b2) a2))

series71.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (* b1 b2) a2)
41.0ms
(/ a1 (/ (* b1 b2) a2))

simplify828.0ms

Counts
75 → 75
Iterations

Useful iterations: done (824.0ms)

IterNodesCost
0123824
1327795
21670721
done5001709

prune241.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

4.2b
(* b1 (/ b2 a2))
7.0b
(/ a1 (* b1 (/ b2 a2)))

rewrite33.0ms

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-/l*
2×associate-*r/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative
Counts
2 → 56
Calls
2 calls:
14.0ms
(* b1 (/ b2 a2))
17.0ms
(/ a1 (* b1 (/ b2 a2)))

series66.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(* b1 (/ b2 a2))
45.0ms
(/ a1 (* b1 (/ b2 a2)))

simplify625.0ms

Counts
62 → 62
Iterations

Useful iterations: 2 (147.0ms)

IterNodesCost
0106561
1274542
21137464
done5001464

prune160.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

5.9b
(* (/ 1 b1) (/ a1 (/ b2 a2)))
6.3b
(/ a1 (/ b2 a2))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
116×add-sqr-sqrt
89×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
44×associate-*r*
28×add-cbrt-cube
21×div-exp
13×associate-*l* associate-/r*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/l*
2×associate-/r/ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 166
Calls
2 calls:
75.0ms
(* (/ 1 b1) (/ a1 (/ b2 a2)))
19.0ms
(/ a1 (/ b2 a2))

series76.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* (/ 1 b1) (/ a1 (/ b2 a2)))
36.0ms
(/ a1 (/ b2 a2))

simplify634.0ms

Counts
172 → 172
Iterations

Useful iterations: done (628.0ms)

IterNodesCost
02742260
19002113
done50011785

prune570.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes508.0ms

Accuracy

71.3% (3.4b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 11.9b

bsearch3.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03177
13977
done3977

end0.0ms

sample1.1s

Algorithm
intervals
Results
466.0ms9892×body80valid