Details

Time bar (total: 8.2s)

sample33.0ms

Algorithm
intervals
Results
12.0ms319×body80valid

simplify53.0ms

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: 11.7b

localize13.0ms

Local error

Found 1 expressions with local error:

11.4b
(/ (* a1 a2) (* b1 b2))

rewrite33.0ms

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:
32.0ms
(/ (* a1 a2) (* b1 b2))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.0s

Counts
24 → 24
Iterations

Useful iterations: 2 (112.0ms)

IterNodesCost
053269
1155261
2900191
done5000191

prune48.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

5.2b
(/ (* b1 b2) a2)
6.5b
(/ a1 (/ (* b1 b2) a2))

rewrite41.0ms

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:
26.0ms
(/ (* b1 b2) a2)
11.0ms
(/ a1 (/ (* b1 b2) a2))

series76.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (* b1 b2) a2)
51.0ms
(/ a1 (/ (* b1 b2) a2))

simplify801.0ms

Counts
75 → 75
Iterations

Useful iterations: done (798.0ms)

IterNodesCost
0123824
1327795
21670721
done5001709

prune235.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a1)
0.6b
(cbrt a1)
4.5b
(/ (* (cbrt a1) (cbrt a1)) (* b1 b2))
5.4b
(* (/ (* (cbrt a1) (cbrt a1)) (* b1 b2)) (* (cbrt a1) a2))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
40×add-cbrt-cube
27×prod-exp cbrt-unprod
12×cbrt-undiv div-exp
9×pow1
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×associate-*l*
4×add-log-exp
3×pow-prod-down
2×times-frac pow1/3 div-inv
1×frac-2neg associate-*r* associate-*l/ clear-num associate-/r* *-commutative associate-/l*
Counts
4 → 80
Calls
4 calls:
1.0ms
(cbrt a1)
1.0ms
(cbrt a1)
16.0ms
(/ (* (cbrt a1) (cbrt a1)) (* b1 b2))
101.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (* b1 b2)) (* (cbrt a1) a2))

series779.0ms

Counts
4 → 12
Calls
4 calls:
278.0ms
(cbrt a1)
250.0ms
(cbrt a1)
152.0ms
(/ (* (cbrt a1) (cbrt a1)) (* b1 b2))
97.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (* b1 b2)) (* (cbrt a1) a2))

simplify1.7s

Counts
92 → 92
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01181238
13901190
22422756
done5000616

prune248.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

5.2b
(/ a1 (* b1 b2))
6.1b
(* (/ a1 (* b1 b2)) a2)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*l*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*r* associate-/l*
2×div-inv add-log-exp
1×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 48
Calls
2 calls:
8.0ms
(/ a1 (* b1 b2))
40.0ms
(* (/ a1 (* b1 b2)) a2)

series100.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ a1 (* b1 b2))
58.0ms
(* (/ a1 (* b1 b2)) a2)

simplify932.0ms

Counts
54 → 54
Iterations

Useful iterations: done (930.0ms)

IterNodesCost
080486
1202475
21198393
done5001387

prune150.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes507.0ms

Accuracy

53.4% (5.1b remaining)

Error of 5.1b against oracle of 0.0b and baseline of 10.9b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03065
14057
done4057

end0.0ms

sample1.2s

Algorithm
intervals
Results
503.0ms10029×body80valid