Details

Time bar (total: 12.9s)

sample50.0ms

Algorithm
intervals
Results
18.0ms326×body80valid

simplify83.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2377
3677
4797
done797

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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:
26.0ms
(/ (* a1 a2) (* b1 b2))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.5s

Counts
24 → 24
Iterations

Useful iterations: 2 (160.0ms)

IterNodesCost
053269
1155261
2900191
done5000191

prune160.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 1 expressions with local error:

10.6b
(* (/ a1 b1) (/ a2 b2))

rewrite55.0ms

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:
50.0ms
(* (/ a1 b1) (/ a2 b2))

series61.0ms

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

simplify2.4s

Counts
53 → 53
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0110565
1330547
22060479
done5000471

prune411.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b1)
0.6b
(cbrt b1)
3.0b
(* (/ 1 (* (cbrt b1) (cbrt b1))) (* (/ a1 (cbrt b1)) (/ a2 b2)))
7.4b
(* (/ a1 (cbrt b1)) (/ a2 b2))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
167×add-exp-log
82×prod-exp
67×add-cbrt-cube
52×div-exp
47×add-sqr-sqrt
37×times-frac
36×cbrt-unprod
29×associate-*l*
28×add-cube-cbrt *-un-lft-identity
26×cbrt-undiv
17×cbrt-prod
14×associate-*r*
11×pow1
10×rec-exp 1-exp
6×frac-times associate-*r/ unswap-sqr
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 158
Calls
4 calls:
2.0ms
(cbrt b1)
2.0ms
(cbrt b1)
151.0ms
(* (/ 1 (* (cbrt b1) (cbrt b1))) (* (/ a1 (cbrt b1)) (/ a2 b2)))
57.0ms
(* (/ a1 (cbrt b1)) (/ a2 b2))

series1.1s

Counts
4 → 12
Calls
4 calls:
361.0ms
(cbrt b1)
354.0ms
(cbrt b1)
91.0ms
(* (/ 1 (* (cbrt b1) (cbrt b1))) (* (/ a1 (cbrt b1)) (/ a2 b2)))
243.0ms
(* (/ a1 (cbrt b1)) (/ a2 b2))

simplify723.0ms

Counts
170 → 170
Iterations

Useful iterations: done (715.0ms)

IterNodesCost
02442663
18342442
done50011936

prune1.2s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

5.3b
(* a1 (/ a2 b2))
6.0b
(/ (* a1 (/ a2 b2)) b1)

rewrite59.0ms

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:
29.0ms
(* a1 (/ a2 b2))
27.0ms
(/ (* a1 (/ a2 b2)) b1)

series101.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* a1 (/ a2 b2))
62.0ms
(/ (* a1 (/ a2 b2)) b1)

simplify1.3s

Counts
62 → 62
Iterations

Useful iterations: 2 (294.0ms)

IterNodesCost
0106560
1284537
21325459
done5001459

prune379.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes1.3s

Accuracy

47.8% (5.9b remaining)

Error of 5.9b against oracle of 0.0b and baseline of 11.3b

bsearch3.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03174
14074
done4074

end0.0ms

sample1.5s

Algorithm
intervals
Results
702.0ms10051×body80valid