Details

Time bar (total: 16.0s)

sample91.0ms

Algorithm
intervals
Results
33.0ms291×body80valid
29.0ms264×body80nan

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done12
112
08

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.5b

localize13.0ms

Local error

Found 3 expressions with local error:

1.8b
(* c0 (sqrt (/ A (* V l))))
5.7b
(/ A (* V l))
15.4b
(sqrt (/ A (* V l)))

rewrite44.0ms

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:
21.0ms
(* c0 (sqrt (/ A (* V l))))
12.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))

series131.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(* c0 (sqrt (/ A (* V l))))
21.0ms
(/ A (* V l))
37.0ms
(sqrt (/ A (* V l)))

simplify1.1s

Counts
78 → 78
Iterations
IterNodes
done2010
32010
2653
1224
0108

prune857.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.6b

localize24.0ms

Local error

Found 3 expressions with local error:

1.8b
(* c0 (sqrt (/ (/ A V) l)))
5.5b
(/ (/ A V) l)
15.4b
(sqrt (/ (/ A V) l))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
213×times-frac
134×add-sqr-sqrt
117×*-un-lft-identity add-cube-cbrt
89×sqrt-prod
46×associate-*r*
13×div-inv associate-/l*
10×add-cbrt-cube add-exp-log
6×pow1
4×unswap-sqr
3×cbrt-undiv rem-sqrt-square associate-/r* div-exp associate-*l* insert-posit16 add-log-exp
2×sqrt-div
1×clear-num frac-2neg sqrt-pow1 pow1/2 pow-prod-down prod-exp associate-*r/ *-commutative cbrt-unprod associate-/l/
Counts
3 → 194
Calls
3 calls:
26.0ms
(* c0 (sqrt (/ (/ A V) l)))
14.0ms
(/ (/ A V) l)
7.0ms
(sqrt (/ (/ A V) l))

series179.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(* c0 (sqrt (/ (/ A V) l)))
34.0ms
(/ (/ A V) l)
60.0ms
(sqrt (/ (/ A V) l))

simplify1.3s

Counts
203 → 203
Iterations
IterNodes
done2011
32011
21332
1592
0312

prune2.1s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.1b

localize74.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
0.6b
(cbrt A)
0.6b
(cbrt V)
0.6b
(cbrt V)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 48
Calls
4 calls:
1.0ms
(cbrt A)
1.0ms
(cbrt A)
1.0ms
(cbrt V)
1.0ms
(cbrt V)

series1.2s

Counts
4 → 12
Calls
4 calls:
290.0ms
(cbrt A)
316.0ms
(cbrt A)
285.0ms
(cbrt V)
284.0ms
(cbrt V)

simplify894.0ms

Counts
60 → 60
Iterations
IterNodes
done2001
52001
4841
3345
2172
177
044

prune1.1s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.1b

localize84.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt V)
0.6b
(cbrt V)
0.6b
(cbrt V)
0.6b
(cbrt (* (cbrt V) (cbrt V)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 46
Calls
4 calls:
1.0ms
(cbrt V)
1.0ms
(cbrt V)
1.0ms
(cbrt V)
7.0ms
(cbrt (* (cbrt V) (cbrt V)))

series1.3s

Counts
4 → 12
Calls
4 calls:
305.0ms
(cbrt V)
288.0ms
(cbrt V)
259.0ms
(cbrt V)
403.0ms
(cbrt (* (cbrt V) (cbrt V)))

simplify1.1s

Counts
58 → 58
Iterations
IterNodes
done2011
52011
41114
3443
2193
186
044

prune1.1s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.0b

regimes566.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 1.5b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done21
121
018

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.3s8781×body80nan
877.0ms8881×body80valid