Details

Time bar (total: 17.6s)

sample50.0ms

Algorithm
intervals
Results
11.0ms272×body80valid
11.0ms268×body80nan

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1128
2148
done148

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.7b

localize20.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ A (* V l))))
6.1b
(/ A (* V l))
18.3b
(sqrt (/ A (* V l)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
10×add-exp-log associate-*r* add-cbrt-cube
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 frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 72
Calls
3 calls:
23.0ms
(* c0 (sqrt (/ A (* V l))))
8.0ms
(/ A (* V l))
7.0ms
(sqrt (/ A (* V l)))

series117.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* c0 (sqrt (/ A (* V l))))
23.0ms
(/ A (* V l))
40.0ms
(sqrt (/ A (* V l)))

simplify4.0s

Counts
81 → 81
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
0109705
1214655
2591605
32007605
done5000605

prune259.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.2b

localize23.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
3.6b
(* (/ 1 V) (/ A l))
18.3b
(sqrt (* (/ 1 V) (/ A l)))

rewrite123.0ms

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×associate-*r* add-cbrt-cube
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×expm1-log1p-u frac-times pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 98
Calls
3 calls:
63.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
39.0ms
(* (/ 1 V) (/ A l))
18.0ms
(sqrt (* (/ 1 V) (/ A l)))

series196.0ms

Counts
3 → 9
Calls
3 calls:
115.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
25.0ms
(* (/ 1 V) (/ A l))
55.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify3.3s

Counts
107 → 107
Iterations

Useful iterations: 2 (567.0ms)

IterNodesCost
01671128
1399891
21163777
33606777
done5000777

prune384.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.8b

localize14.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ (/ A l) V)))
3.5b
(/ (/ A l) V)
18.3b
(sqrt (/ (/ A l) V))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
213×times-frac
134×add-sqr-sqrt
117×add-cube-cbrt *-un-lft-identity
89×sqrt-prod
46×associate-*r*
13×div-inv associate-/l*
10×add-exp-log add-cbrt-cube
6×pow1
4×unswap-sqr
3×cbrt-undiv expm1-log1p-u rem-sqrt-square div-exp associate-*l* associate-/r* log1p-expm1-u add-log-exp
2×sqrt-div
1×frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/
Counts
3 → 197
Calls
3 calls:
49.0ms
(* c0 (sqrt (/ (/ A l) V)))
16.0ms
(/ (/ A l) V)
21.0ms
(sqrt (/ (/ A l) V))

series123.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* c0 (sqrt (/ (/ A l) V)))
25.0ms
(/ (/ A l) V)
44.0ms
(sqrt (/ (/ A l) V))

simplify2.4s

Counts
206 → 206
Iterations

Useful iterations: 3 (977.0ms)

IterNodesCost
03152554
15772362
211862266
329622236
done50002236

prune741.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt A)
0.5b
(cbrt A)
0.6b
(cbrt V)
0.6b
(cbrt V)

rewrite4.0ms

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

series925.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(cbrt A)
229.0ms
(cbrt A)
259.0ms
(cbrt V)
204.0ms
(cbrt V)

simplify1.6s

Counts
64 → 64
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
046284
175268
2148244
3303232
4759232
52538232
done5000232

prune245.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 0.0b

regimes783.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01321
11521
done1521

end0.0ms

sample2.2s

Algorithm
intervals
Results
783.0ms8940×body80nan
399.0ms8872×body80valid