Details

Time bar (total: 15.4s)

sample53.0ms

Algorithm
intervals
Results
14.0ms304×body80nan
14.0ms281×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done12
112
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.4b

localize25.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (/ A (* V l))))
6.2b
(/ A (* V l))
16.1b
(sqrt (/ A (* V l)))

rewrite54.0ms

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:
40.0ms
(* c0 (sqrt (/ A (* V l))))
7.0ms
(/ A (* V l))
5.0ms
(sqrt (/ A (* V l)))

series141.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
42.0ms
(sqrt (/ A (* V l)))

simplify1.5s

Counts
78 → 78
Iterations
IterNodes
done5018
32765
2653
1224
0108

prune485.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.3b

localize30.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
3.5b
(* (/ 1 V) (/ A l))
16.1b
(sqrt (* (/ 1 V) (/ A l)))

rewrite72.0ms

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:
29.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
30.0ms
(* (/ 1 V) (/ A l))
11.0ms
(sqrt (* (/ 1 V) (/ A l)))

series194.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
35.0ms
(* (/ 1 V) (/ A l))
82.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify2.6s

Counts
104 → 104
Iterations
IterNodes
done5004
34564
21303
1437
0165

prune489.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.0b

localize44.0ms

Local error

Found 4 expressions with local error:

3.5b
(* (/ 1 V) (/ A l))
3.5b
(* (/ 1 V) (/ A l))
16.1b
(sqrt (* (/ 1 V) (/ A l)))
16.1b
(sqrt (* (/ 1 V) (/ A l)))

rewrite52.0ms

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:
13.0ms
(* (/ 1 V) (/ A l))
13.0ms
(* (/ 1 V) (/ A l))
11.0ms
(sqrt (* (/ 1 V) (/ A l)))
12.0ms
(sqrt (* (/ 1 V) (/ A l)))

series210.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (/ 1 V) (/ A l))
34.0ms
(* (/ 1 V) (/ A l))
84.0ms
(sqrt (* (/ 1 V) (/ A l)))
69.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify2.1s

Counts
156 → 156
Iterations
IterNodes
done5009
33845
21142
1369
0135

prune860.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.0b

localize42.0ms

Local error

Found 4 expressions with local error:

3.4b
(/ (/ A l) V)
3.5b
(* (/ 1 V) (/ A l))
16.1b
(sqrt (* (/ 1 V) (/ A l)))
16.1b
(sqrt (/ (/ A l) V))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
169×times-frac
118×add-sqr-sqrt
97×*-un-lft-identity
95×add-cube-cbrt
44×sqrt-prod
31×add-exp-log
21×add-cbrt-cube
13×associate-*r* associate-*l* associate-/l*
11×div-exp div-inv
10×pow1
8×prod-exp
7×cbrt-undiv
6×unswap-sqr
4×sqrt-div cbrt-unprod insert-posit16 add-log-exp
3×rem-sqrt-square associate-/r* sqrt-pow1
2×frac-times rec-exp pow1/2 1-exp pow-prod-down associate-*l/ associate-*r/
1×clear-num frac-2neg *-commutative associate-/l/
Counts
4 → 200
Calls
4 calls:
8.0ms
(/ (/ A l) V)
17.0ms
(* (/ 1 V) (/ A l))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))
4.0ms
(sqrt (/ (/ A l) V))

series179.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ (/ A l) V)
22.0ms
(* (/ 1 V) (/ A l))
83.0ms
(sqrt (* (/ 1 V) (/ A l)))
35.0ms
(sqrt (/ (/ A l) V))

simplify1.9s

Counts
212 → 212
Iterations
IterNodes
done5000
22001
1708
0325

prune1.5s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.0b

regimes1.2s

Accuracy

43.7% (8.4b remaining)

Error of 12.9b against oracle of 4.5b and baseline of 19.5b

bsearch1.0ms

simplify8.0ms

Iterations
IterNodes
done49
149
039

end0.0ms

sample1.6s

Algorithm
intervals
Results
499.0ms8939×body80valid
486.0ms8718×body80nan