Details

Time bar (total: 18.3s)

sample73.0ms

Algorithm
intervals
Results
24.0ms311×body80nan
13.0ms287×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done12
112
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize23.0ms

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)))

rewrite52.0ms

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* 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 → 66
Calls
3 calls:
31.0ms
(* c0 (sqrt (/ A (* V l))))
10.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))

series136.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(* c0 (sqrt (/ A (* V l))))
22.0ms
(/ A (* V l))
44.0ms
(sqrt (/ A (* V l)))

simplify1.4s

Counts
75 → 75
Iterations
IterNodes
done5003
32759
2643
1221
0105

prune508.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.9b

localize30.0ms

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)))

rewrite36.0ms

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 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 → 78
Calls
4 calls:
12.0ms
(/ A (* V l))
10.0ms
(/ A (* V l))
5.0ms
(sqrt (/ A (* V l)))
5.0ms
(sqrt (/ A (* V l)))

series157.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ A (* V l))
30.0ms
(/ A (* V l))
38.0ms
(sqrt (/ A (* V l)))
64.0ms
(sqrt (/ A (* V l)))

simplify4.9s

Counts
90 → 90
Iterations
IterNodes
done5000
44718
31352
2394
1137
072

prune673.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.9b

localize48.0ms

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))))

rewrite48.0ms

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×associate-/l* add-log-exp
3×rem-sqrt-square
2×clear-num frac-2neg sqrt-pow1 pow1/2 sqrt-div associate-/r/
Counts
4 → 110
Calls
4 calls:
15.0ms
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
7.0ms
(/ A (* V l))
6.0ms
(sqrt (/ A (* V l)))
18.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

series182.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
21.0ms
(/ A (* V l))
35.0ms
(sqrt (/ A (* V l)))
63.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

simplify1.3s

Counts
122 → 122
Iterations
IterNodes
done5001
21574
1426
0185

prune995.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.9b

localize162.0ms

Local error

Found 4 expressions with local error:

14.1b
(sqrt (/ A (* V l)))
15.6b
(cbrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))
15.6b
(cbrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))
15.6b
(cbrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod
51×times-frac
19×add-sqr-sqrt
18×*-un-lft-identity add-cube-cbrt
7×sqrt-prod div-inv
5×pow1
4×add-cbrt-cube add-exp-log add-log-exp
3×cbrt-div pow1/3 associate-/r/
1×rem-sqrt-square sqrt-pow1 pow1/2 sqrt-div
Counts
4 → 90
Calls
4 calls:
5.0ms
(sqrt (/ A (* V l)))
8.0ms
(cbrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))
8.0ms
(cbrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))
8.0ms
(cbrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

series402.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(sqrt (/ A (* V l)))
128.0ms
(cbrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))
116.0ms
(cbrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))
102.0ms
(cbrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

simplify1.9s

Counts
102 → 102
Iterations
IterNodes
done5000
43376
31195
2550
1240
0145

prune1.2s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 4.9b

regimes1.7s

Accuracy

51.3% (6.3b remaining)

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

bsearch1.0ms

simplify8.0ms

Iterations
IterNodes
done49
149
039

end0.0ms

sample2.3s

Algorithm
intervals
Results
972.0ms8919×body80valid
444.0ms8688×body80nan