Details

Time bar (total: 19.5s)

sample61.0ms

Algorithm
intervals
Results
19.0ms311×body80nan
14.0ms287×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done12
112
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.7b
(* c0 (sqrt (/ A (* V l))))
4.6b
(/ A (* V l))
14.1b
(sqrt (/ A (* V l)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×*-un-lft-identity add-cube-cbrt
10×add-cbrt-cube associate-*r* add-exp-log
9×times-frac
6×pow1
3×expm1-log1p-u associate-*l* log1p-expm1-u div-inv associate-/l* add-log-exp
2×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod unswap-sqr
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 pow-prod-down associate-*r/ *-commutative
Counts
3 → 72
Calls
3 calls:
37.0ms
(* c0 (sqrt (/ A (* V l))))
6.0ms
(/ A (* V l))
6.0ms
(sqrt (/ A (* V l)))

series152.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(* c0 (sqrt (/ A (* V l))))
31.0ms
(/ A (* V l))
46.0ms
(sqrt (/ A (* V l)))

simplify1.9s

Counts
81 → 81
Iterations
IterNodes
done5050
32877
2681
1225
0111

prune527.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.9b

localize27.0ms

Local error

Found 4 expressions with local error:

4.6b
(/ A (* V l))
4.6b
(/ A (* V l))
14.1b
(sqrt (/ A (* V l)))
14.1b
(sqrt (/ A (* V l)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt add-cbrt-cube add-exp-log sqrt-prod
12×*-un-lft-identity times-frac add-cube-cbrt
6×pow1 associate-/l*
4×expm1-log1p-u cbrt-undiv div-exp log1p-expm1-u div-inv add-log-exp
2×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp cbrt-unprod
Counts
4 → 86
Calls
4 calls:
12.0ms
(/ A (* V l))
11.0ms
(/ A (* V l))
6.0ms
(sqrt (/ A (* V l)))
5.0ms
(sqrt (/ A (* V l)))

series166.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ A (* V l))
32.0ms
(/ A (* V l))
53.0ms
(sqrt (/ A (* V l)))
46.0ms
(sqrt (/ A (* V l)))

simplify6.2s

Counts
98 → 98
Iterations
IterNodes
done5001
44749
31431
2399
1141
076

prune776.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.9b

localize96.0ms

Local error

Found 4 expressions with local error:

3.7b
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
4.6b
(/ A (* V l))
14.1b
(sqrt (/ A (* V l)))
14.1b
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
30×add-exp-log
22×sqrt-prod
21×add-sqr-sqrt
20×add-cbrt-cube
18×*-un-lft-identity add-cube-cbrt
12×cbrt-undiv div-exp
11×associate-/r*
9×cbrt-prod
7×div-inv
6×pow1 prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
3×rem-sqrt-square
2×clear-num frac-2neg sqrt-pow1 pow1/2 sqrt-div associate-/r/
Counts
4 → 118
Calls
4 calls:
30.0ms
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
12.0ms
(/ A (* V l))
10.0ms
(sqrt (/ A (* V l)))
18.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

series200.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
28.0ms
(/ A (* V l))
38.0ms
(sqrt (/ A (* V l)))
82.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

simplify1.9s

Counts
130 → 130
Iterations
IterNodes
done5001
21593
1432
0193

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.9b

localize67.0ms

Local error

Found 4 expressions with local error:

3.7b
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
4.6b
(/ A (* V l))
14.1b
(sqrt (/ A (* V l)))
14.1b
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
30×add-exp-log
22×sqrt-prod
21×add-sqr-sqrt
20×add-cbrt-cube
18×*-un-lft-identity add-cube-cbrt
12×cbrt-undiv div-exp
11×associate-/r*
9×cbrt-prod
7×div-inv
6×pow1 prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
3×rem-sqrt-square
2×clear-num frac-2neg sqrt-pow1 pow1/2 sqrt-div associate-/r/
Counts
4 → 118
Calls
4 calls:
14.0ms
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
6.0ms
(/ A (* V l))
5.0ms
(sqrt (/ A (* V l)))
11.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

series205.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
36.0ms
(/ A (* V l))
41.0ms
(sqrt (/ A (* V l)))
67.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

simplify1.7s

Counts
130 → 130
Iterations
IterNodes
done5001
21593
1432
0193

prune968.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.9b

regimes1.5s

Accuracy

51.4% (6.3b remaining)

Error of 12.5b against oracle of 6.2b and baseline of 19.1b

bsearch3.0ms

simplify14.0ms

Iterations
IterNodes
done49
149
039

end0.0ms

sample1.8s

Algorithm
intervals
Results
519.0ms8919×body80valid
496.0ms8688×body80nan