Details

Time bar (total: 13.7s)

sample50.0ms

Algorithm
intervals
Results
18.0ms296×body80valid
16.0ms282×body80nan

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done12
112
08

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.5b
(* c0 (sqrt (/ A (* V l))))
4.5b
(/ A (* V l))
18.1b
(sqrt (/ A (* V l)))

rewrite39.0ms

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:
16.0ms
(* c0 (sqrt (/ A (* V l))))
7.0ms
(/ A (* V l))
15.0ms
(sqrt (/ A (* V l)))

series105.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* c0 (sqrt (/ A (* V l))))
22.0ms
(/ A (* V l))
32.0ms
(sqrt (/ A (* V l)))

simplify735.0ms

Counts
78 → 78
Iterations
IterNodes
done2010
32010
2653
1224
0108

prune425.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 7.4b

localize20.0ms

Local error

Found 3 expressions with local error:

0.5b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
4.1b
(* (/ 1 V) (/ A l))
18.1b
(sqrt (* (/ 1 V) (/ A l)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
27×add-exp-log
25×times-frac
21×*-un-lft-identity
19×add-cube-cbrt
17×add-cbrt-cube associate-*r*
16×associate-*l*
10×pow1
9×prod-exp
8×div-exp
7×unswap-sqr
6×sqrt-div associate-*r/
5×cbrt-unprod
4×cbrt-undiv
3×frac-times pow-prod-down associate-*l/ insert-posit16 add-log-exp
2×rec-exp sqrt-pow1 1-exp *-commutative sqrt-prod div-inv
1×pow1/2
Counts
3 → 95
Calls
3 calls:
25.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
22.0ms
(* (/ 1 V) (/ A l))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))

series147.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
22.0ms
(* (/ 1 V) (/ A l))
62.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify892.0ms

Counts
104 → 104
Iterations
IterNodes
done2005
32005
21303
1437
0165

prune462.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 4.9b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt l)
0.6b
(cbrt l)
3.6b
(* (/ (/ (/ 1 (cbrt l)) (cbrt l)) V) (/ A (cbrt l)))
18.1b
(sqrt (* (/ (/ (/ 1 (cbrt l)) (cbrt l)) V) (/ A (cbrt l))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
1262×times-frac
704×add-sqr-sqrt
537×*-un-lft-identity
525×add-cube-cbrt
415×cbrt-prod
412×associate-*l*
54×add-exp-log
39×unswap-sqr
28×div-exp
26×add-cbrt-cube div-inv
22×associate-*r*
16×cbrt-undiv
12×prod-exp
9×pow1
8×cbrt-unprod
4×insert-posit16 add-log-exp
3×sqrt-div
2×frac-times rec-exp sqrt-pow1 pow1/3 1-exp pow-prod-down associate-*l/ associate-*r/
1×pow1/2 *-commutative sqrt-prod
Counts
4 → 545
Calls
4 calls:
1.0ms
(cbrt l)
1.0ms
(cbrt l)
34.0ms
(* (/ (/ (/ 1 (cbrt l)) (cbrt l)) V) (/ A (cbrt l)))
16.0ms
(sqrt (* (/ (/ (/ 1 (cbrt l)) (cbrt l)) V) (/ A (cbrt l))))

series610.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(cbrt l)
233.0ms
(cbrt l)
47.0ms
(* (/ (/ (/ 1 (cbrt l)) (cbrt l)) V) (/ A (cbrt l)))
82.0ms
(sqrt (* (/ (/ (/ 1 (cbrt l)) (cbrt l)) V) (/ A (cbrt l))))

simplify868.0ms

Counts
557 → 557
Iterations
IterNodes
done2000
12000
0639

prune3.9s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 3.6b

localize30.0ms

Local error

Found 4 expressions with local error:

4.1b
(* (/ 1 V) (/ A l))
4.1b
(* (/ 1 V) (/ A l))
18.1b
(sqrt (* (/ 1 V) (/ A l)))
18.1b
(sqrt (* (/ 1 V) (/ A l)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
50×times-frac
48×add-exp-log
36×*-un-lft-identity
32×add-cube-cbrt
28×add-cbrt-cube
26×associate-*r* associate-*l*
16×div-exp prod-exp
14×pow1
12×unswap-sqr
8×cbrt-undiv cbrt-unprod
6×sqrt-div
4×frac-times rec-exp sqrt-pow1 1-exp pow-prod-down associate-*l/ associate-*r/ insert-posit16 div-inv add-log-exp
2×pow1/2 *-commutative sqrt-prod
Counts
4 → 144
Calls
4 calls:
18.0ms
(* (/ 1 V) (/ A l))
12.0ms
(* (/ 1 V) (/ A l))
7.0ms
(sqrt (* (/ 1 V) (/ A l)))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))

series213.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (/ 1 V) (/ A l))
28.0ms
(* (/ 1 V) (/ A l))
77.0ms
(sqrt (* (/ 1 V) (/ A l)))
81.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify970.0ms

Counts
156 → 156
Iterations
IterNodes
done2001
32001
21142
1369
0135

prune807.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 3.6b

regimes944.0ms

Accuracy

45.6% (8.3b remaining)

Error of 11.8b against oracle of 3.5b and baseline of 18.8b

bsearch2.0ms

simplify14.0ms

Iterations
IterNodes
done52
152
043

end0.0ms

sample2.3s

Algorithm
intervals
Results
776.0ms8955×body80valid
689.0ms9224×body80nan