Details

Time bar (total: 10.9s)

sample112.0ms

Algorithm
intervals
Results
46.0ms284×body80valid
33.0ms272×body80nan

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done12
112
08

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.2b

localize25.0ms

Local error

Found 3 expressions with local error:

2.4b
(* c0 (sqrt (/ A (* V l))))
5.4b
(/ A (* V l))
16.5b
(sqrt (/ A (* V l)))

rewrite57.0ms

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:
33.0ms
(* c0 (sqrt (/ A (* V l))))
13.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))

series166.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(* c0 (sqrt (/ A (* V l))))
22.0ms
(/ A (* V l))
65.0ms
(sqrt (/ A (* V l)))

simplify441.0ms

Counts
78 → 78
Iterations
IterNodes
done2003
2653
1224
0108

prune378.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 7.5b

localize22.0ms

Local error

Found 3 expressions with local error:

2.4b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
5.2b
(* (/ 1 V) (/ A l))
16.5b
(sqrt (* (/ 1 V) (/ A l)))

rewrite58.0ms

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:
30.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
15.0ms
(* (/ 1 V) (/ A l))
11.0ms
(sqrt (* (/ 1 V) (/ A l)))

series141.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
21.0ms
(* (/ 1 V) (/ A l))
61.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify616.0ms

Counts
104 → 104
Iterations
IterNodes
done2005
21303
1437
0165

prune515.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.0b

localize25.0ms

Local error

Found 4 expressions with local error:

5.2b
(* (/ 1 V) (/ A l))
5.2b
(* (/ 1 V) (/ A l))
16.5b
(sqrt (* (/ 1 V) (/ A l)))
16.5b
(sqrt (* (/ 1 V) (/ A l)))

rewrite62.0ms

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:
17.0ms
(* (/ 1 V) (/ A l))
22.0ms
(* (/ 1 V) (/ A l))
10.0ms
(sqrt (* (/ 1 V) (/ A l)))
10.0ms
(sqrt (* (/ 1 V) (/ A l)))

series180.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (/ 1 V) (/ A l))
21.0ms
(* (/ 1 V) (/ A l))
64.0ms
(sqrt (* (/ 1 V) (/ A l)))
74.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify659.0ms

Counts
156 → 156
Iterations
IterNodes
done2001
21142
1369
0135

prune1.0s

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 5.0b

localize24.0ms

Local error

Found 4 expressions with local error:

15.6b
(cbrt (/ A l))
15.6b
(cbrt (/ A l))
15.6b
(cbrt (/ A l))
16.5b
(sqrt (* (/ (* (cbrt (/ A l)) (cbrt (/ A l))) V) (cbrt (/ A l))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×pow1
5×cbrt-div
4×add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×pow1/3 sqrt-div div-inv
2×sqrt-pow1
1×frac-times pow1/2 pow-prod-down associate-*l/ associate-*r/ sqrt-prod
Counts
4 → 84
Calls
4 calls:
1.0ms
(cbrt (/ A l))
1.0ms
(cbrt (/ A l))
1.0ms
(cbrt (/ A l))
16.0ms
(sqrt (* (/ (* (cbrt (/ A l)) (cbrt (/ A l))) V) (cbrt (/ A l))))

series318.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(cbrt (/ A l))
74.0ms
(cbrt (/ A l))
112.0ms
(cbrt (/ A l))
51.0ms
(sqrt (* (/ (* (cbrt (/ A l)) (cbrt (/ A l))) V) (cbrt (/ A l))))

simplify895.0ms

Counts
96 → 96
Iterations
IterNodes
done2001
41612
3591
2275
1158
0106

prune583.0ms

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 4.7b

regimes1.6s

Accuracy

52.6% (7.1b remaining)

Error of 11.1b against oracle of 3.9b and baseline of 19.0b

bsearch2.0ms

simplify18.0ms

Iterations
IterNodes
done59
159
047

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.3s9040×body80nan
1.0s8857×body80valid