Details

Time bar (total: 12.3s)

sample114.0ms

Algorithm
intervals
Results
47.0ms316×body80nan
35.0ms291×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done12
112
08

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize16.0ms

Local error

Found 3 expressions with local error:

1.4b
(* c0 (sqrt (/ A (* V l))))
3.9b
(/ A (* V l))
15.4b
(sqrt (/ A (* V l)))

rewrite60.0ms

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×associate-*l* insert-posit16 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 → 69
Calls
3 calls:
47.0ms
(* c0 (sqrt (/ A (* V l))))
6.0ms
(/ A (* V l))
5.0ms
(sqrt (/ A (* V l)))

series158.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(* c0 (sqrt (/ A (* V l))))
34.0ms
(/ A (* V l))
58.0ms
(sqrt (/ A (* V l)))

simplify923.0ms

Counts
78 → 78
Iterations
IterNodes
done2010
32010
2653
1224
0108

prune404.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.5b

localize39.0ms

Local error

Found 4 expressions with local error:

3.9b
(/ A (* V l))
3.9b
(/ A (* V l))
15.4b
(sqrt (/ A (* V l)))
15.4b
(sqrt (/ A (* V l)))

rewrite30.0ms

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×cbrt-undiv div-exp insert-posit16 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 → 82
Calls
4 calls:
11.0ms
(/ A (* V l))
6.0ms
(/ A (* V l))
5.0ms
(sqrt (/ A (* V l)))
6.0ms
(sqrt (/ A (* V l)))

series130.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ A (* V l))
32.0ms
(/ A (* V l))
41.0ms
(sqrt (/ A (* V l)))
34.0ms
(sqrt (/ A (* V l)))

simplify1.3s

Counts
94 → 94
Iterations
IterNodes
done2009
42009
31453
2433
1142
074

prune680.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.5b

localize68.0ms

Local error

Found 4 expressions with local error:

15.4b
(sqrt (/ A (* V l)))
18.2b
(cbrt (/ A (* V l)))
18.2b
(cbrt (/ A (* V l)))
18.2b
(cbrt (/ A (* V l)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
13×add-sqr-sqrt
12×*-un-lft-identity times-frac add-cube-cbrt
7×sqrt-prod
5×pow1
4×add-cbrt-cube add-exp-log insert-posit16 div-inv add-log-exp
3×cbrt-div pow1/3
1×rem-sqrt-square sqrt-pow1 pow1/2 sqrt-div
Counts
4 → 70
Calls
4 calls:
10.0ms
(sqrt (/ A (* V l)))
7.0ms
(cbrt (/ A (* V l)))
3.0ms
(cbrt (/ A (* V l)))
3.0ms
(cbrt (/ A (* V l)))

series402.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(sqrt (/ A (* V l)))
108.0ms
(cbrt (/ A (* V l)))
130.0ms
(cbrt (/ A (* V l)))
111.0ms
(cbrt (/ A (* V l)))

simplify1.1s

Counts
82 → 82
Iterations
IterNodes
done2003
42003
3676
2282
1140
091

prune649.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 6.5b

localize36.0ms

Local error

Found 4 expressions with local error:

6.6b
(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
18.2b
(cbrt (/ A (* V l)))
18.2b
(cbrt (/ A (* V l)))
18.2b
(cbrt (/ A (* V l)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×pow1
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×sqrt-pow1 times-frac pow1/3
7×cbrt-div
4×add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×sqrt-div div-inv
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times rem-sqrt-square pow-plus pow1/2 associate-*l/ associate-*r/ sqrt-prod
Counts
4 → 74
Calls
4 calls:
12.0ms
(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
7.0ms
(cbrt (/ A (* V l)))
7.0ms
(cbrt (/ A (* V l)))
12.0ms
(cbrt (/ A (* V l)))

series503.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
127.0ms
(cbrt (/ A (* V l)))
114.0ms
(cbrt (/ A (* V l)))
130.0ms
(cbrt (/ A (* V l)))

simplify935.0ms

Counts
86 → 86
Iterations
IterNodes
done2000
42000
3729
2248
1152
096

prune600.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 6.4b

regimes1.2s

Accuracy

39.7% (7.8b remaining)

Error of 14.2b against oracle of 6.4b and baseline of 19.4b

bsearch2.0ms

simplify8.0ms

Iterations
IterNodes
done51
151
039

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.3s8886×body80valid
869.0ms8606×body80nan