Details

Time bar (total: 16.9s)

sample44.0ms

Algorithm
intervals
Results
12.0ms362×body80nan
9.0ms288×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08164
112164
214164
done14164

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize25.0ms

Local error

Found 3 expressions with local error:

0.7b
(* c0 (sqrt (/ A (* V l))))
6.9b
(/ A (* V l))
14.2b
(sqrt (/ A (* V l)))

rewrite42.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u 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 → 72
Calls
3 calls:
19.0ms
(* c0 (sqrt (/ A (* V l))))
11.0ms
(/ A (* V l))
10.0ms
(sqrt (/ A (* V l)))

series181.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(* c0 (sqrt (/ A (* V l))))
36.0ms
(/ A (* V l))
57.0ms
(sqrt (/ A (* V l)))

simplify2.8s

Counts
81 → 81
Iterations

Useful iterations: 2 (141.0ms)

IterNodesCost
011114499
122513856
289513616
3474313656
done500113656

prune561.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.7b
(* c0 (sqrt (/ (/ A V) l)))
4.7b
(/ (/ A V) l)
14.2b
(sqrt (/ (/ A V) l))

rewrite87.0ms

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×expm1-log1p-u cbrt-undiv rem-sqrt-square associate-/r* div-exp associate-*l* log1p-expm1-u 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 → 197
Calls
3 calls:
56.0ms
(* c0 (sqrt (/ (/ A V) l)))
9.0ms
(/ (/ A V) l)
9.0ms
(sqrt (/ (/ A V) l))

series126.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(* c0 (sqrt (/ (/ A V) l)))
22.0ms
(/ (/ A V) l)
37.0ms
(sqrt (/ (/ A V) l))

simplify1.7s

Counts
206 → 206
Iterations

Useful iterations: done (1.6s)

IterNodesCost
031562061
161857976
2210257015
done500056575

prune1.6s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
0.6b
(cbrt A)
0.6b
(cbrt l)
0.6b
(cbrt l)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt A)
1.0ms
(cbrt A)
1.0ms
(cbrt l)
1.0ms
(cbrt l)

series1.1s

Counts
4 → 12
Calls
4 calls:
287.0ms
(cbrt A)
265.0ms
(cbrt A)
268.0ms
(cbrt l)
266.0ms
(cbrt l)

simplify1.3s

Counts
64 → 64
Iterations

Useful iterations: 3 (172.0ms)

IterNodesCost
04611972
17910604
221510448
36689808
419959808
done50019808

prune733.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.0b

localize103.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
0.6b
(cbrt A)
0.6b
(cbrt l)
0.6b
(cbrt l)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt A)
1.0ms
(cbrt A)
1.0ms
(cbrt l)
1.0ms
(cbrt l)

series1.0s

Counts
4 → 12
Calls
4 calls:
243.0ms
(cbrt A)
234.0ms
(cbrt A)
287.0ms
(cbrt l)
247.0ms
(cbrt l)

simplify1.2s

Counts
64 → 64
Iterations

Useful iterations: 3 (173.0ms)

IterNodesCost
04611972
17910604
221510448
36689808
419959808
done50019808

prune511.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

regimes1.7s

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
018724
121724
done21724

end0.0ms

sample2.0s

Algorithm
intervals
Results
781.0ms8891×body80valid
436.0ms8856×body80nan