Details

Time bar (total: 19.4s)

sample86.0ms

Algorithm
intervals
Results
25.0ms284×body80valid
16.0ms284×body80nan

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1128
2148
done148

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize17.0ms

Local error

Found 3 expressions with local error:

1.9b
(* c0 (sqrt (/ A (* V l))))
4.6b
(/ A (* V l))
15.2b
(sqrt (/ A (* V l)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
10×add-exp-log associate-*r* add-cbrt-cube
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 frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 66
Calls
3 calls:
45.0ms
(* c0 (sqrt (/ A (* V l))))
15.0ms
(/ A (* V l))
12.0ms
(sqrt (/ A (* V l)))

series133.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(* c0 (sqrt (/ A (* V l))))
23.0ms
(/ A (* V l))
41.0ms
(sqrt (/ A (* V l)))

simplify2.3s

Counts
75 → 75
Iterations

Useful iterations: 3 (908.0ms)

IterNodesCost
0103661
1218611
2756563
33464561
done5000561

prune257.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.2b

localize28.0ms

Local error

Found 4 expressions with local error:

4.6b
(/ A (* V l))
4.6b
(/ A (* V l))
15.2b
(sqrt (/ A (* V l)))
15.2b
(sqrt (/ A (* V l)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-sqr-sqrt sqrt-prod add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity times-frac
6×pow1 associate-/l*
4×cbrt-undiv div-exp div-inv add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 78
Calls
4 calls:
8.0ms
(/ A (* V l))
8.0ms
(/ A (* V l))
12.0ms
(sqrt (/ A (* V l)))
13.0ms
(sqrt (/ A (* V l)))

series149.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ A (* V l))
22.0ms
(/ A (* V l))
55.0ms
(sqrt (/ A (* V l)))
49.0ms
(sqrt (/ A (* V l)))

simplify3.3s

Counts
90 → 90
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
070710
1135668
2453600
32106600
done5000600

prune403.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.2b

localize41.0ms

Local error

Found 4 expressions with local error:

4.6b
(* A (/ 1 (* V l)))
4.6b
(/ A (* V l))
15.2b
(sqrt (/ A (* V l)))
15.2b
(sqrt (* A (/ 1 (* V l))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
18×add-cbrt-cube
14×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity prod-exp
10×pow1
9×times-frac
8×sqrt-prod
7×associate-*r*
6×div-exp
5×cbrt-unprod
4×cbrt-undiv add-log-exp
3×sqrt-pow1 sqrt-div associate-*l* div-inv associate-/l*
2×rec-exp pow1/2 1-exp associate-*r/ pow-prod-down un-div-inv
1×rem-sqrt-square frac-2neg clear-num associate-/r* *-commutative unswap-sqr
Counts
4 → 84
Calls
4 calls:
39.0ms
(* A (/ 1 (* V l)))
15.0ms
(/ A (* V l))
13.0ms
(sqrt (/ A (* V l)))
39.0ms
(sqrt (* A (/ 1 (* V l))))

series147.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* A (/ 1 (* V l)))
27.0ms
(/ A (* V l))
48.0ms
(sqrt (/ A (* V l)))
40.0ms
(sqrt (* A (/ 1 (* V l))))

simplify843.0ms

Counts
96 → 96
Iterations

Useful iterations: done (840.0ms)

IterNodesCost
0125812
1295730
21480608
done5001604

prune436.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.2b

localize47.0ms

Local error

Found 4 expressions with local error:

13.8b
(cbrt (/ 1 (* V l)))
13.8b
(cbrt (/ 1 (* V l)))
15.2b
(sqrt (/ A (* V l)))
15.2b
(sqrt (* (* A (* (cbrt (/ 1 (* V l))) (cbrt (/ 1 (* V l))))) (cbrt (/ 1 (* V l)))))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1
14×cbrt-prod cbrt-div
11×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×times-frac associate-*r/
8×sqrt-div sqrt-prod
6×pow-prod-down
5×frac-times sqrt-pow1 associate-*l/
4×add-exp-log add-cbrt-cube add-log-exp
3×div-inv
2×pow1/2 pow1/3
1×rem-sqrt-square
Counts
4 → 70
Calls
4 calls:
12.0ms
(cbrt (/ 1 (* V l)))
7.0ms
(cbrt (/ 1 (* V l)))
7.0ms
(sqrt (/ A (* V l)))
168.0ms
(sqrt (* (* A (* (cbrt (/ 1 (* V l))) (cbrt (/ 1 (* V l))))) (cbrt (/ 1 (* V l)))))

series265.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(cbrt (/ 1 (* V l)))
80.0ms
(cbrt (/ 1 (* V l)))
41.0ms
(sqrt (/ A (* V l)))
64.0ms
(sqrt (* (* A (* (cbrt (/ 1 (* V l))) (cbrt (/ 1 (* V l))))) (cbrt (/ 1 (* V l)))))

simplify7.6s

Counts
82 → 82
Iterations

Useful iterations: done (7.6s)

IterNodesCost
01211007
1209899
2573726
33749685
done5001623

prune428.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 6.2b

regimes660.0ms

Accuracy

46.3% (7.2b remaining)

Error of 13.6b against oracle of 6.4b and baseline of 19.8b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03969
15069
done5069

end0.0ms

sample1.9s

Algorithm
intervals
Results
468.0ms8902×body80nan
390.0ms8846×body80valid