Details

Time bar (total: 5.3s)

sample38.0ms

Algorithm
intervals
Results
9.0ms294×body80nan
7.0ms275×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144
done144

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.6b

localize6.0ms

Local error

Found 3 expressions with local error:

1.6b
(* c0 (sqrt (/ A (* V l))))
4.7b
(/ A (* V l))
19.3b
(sqrt (/ A (* V l)))

rewrite37.0ms

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:
22.0ms
(* c0 (sqrt (/ A (* V l))))
8.0ms
(/ A (* V l))
6.0ms
(sqrt (/ A (* V l)))

series105.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* c0 (sqrt (/ A (* V l))))
21.0ms
(/ A (* V l))
36.0ms
(sqrt (/ A (* V l)))

simplify60.0ms

Counts
81 → 81
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0215345
1819320
23061317
35001317
done5001317

prune201.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 10.0b

localize6.0ms

Local error

Found 3 expressions with local error:

1.6b
(* c0 (sqrt (/ (/ A V) l)))
2.7b
(/ (/ A V) l)
19.3b
(sqrt (/ (/ A V) l))

rewrite68.0ms

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:
33.0ms
(* c0 (sqrt (/ (/ A V) l)))
14.0ms
(/ (/ A V) l)
10.0ms
(sqrt (/ (/ A V) l))

series106.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* c0 (sqrt (/ (/ A V) l)))
21.0ms
(/ (/ A V) l)
38.0ms
(sqrt (/ (/ A V) l))

simplify57.0ms

Counts
206 → 206
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05841424
120141350
250011314
done50011314

prune595.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

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 l)
1.0ms
(cbrt l)

series898.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt A)
366.0ms
(cbrt A)
185.0ms
(cbrt l)
177.0ms
(cbrt l)

simplify48.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152
done5001152

prune279.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt l)
0.6b
(cbrt l)
0.6b
(cbrt l)
0.6b
(cbrt (* (cbrt l) (cbrt l)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×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 → 50
Calls
4 calls:
1.0ms
(cbrt l)
1.0ms
(cbrt l)
1.0ms
(cbrt l)
5.0ms
(cbrt (* (cbrt l) (cbrt l)))

series802.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt l)
183.0ms
(cbrt l)
176.0ms
(cbrt l)
263.0ms
(cbrt (* (cbrt l) (cbrt l)))

simplify84.0ms

Counts
62 → 62
Iterations

Useful iterations: 4 (80.0ms)

IterNodesCost
082202
1172184
2563174
32341174
45002171
done5002171

prune283.0ms

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 0.0b

regimes579.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01514
11514
done1514

end0.0ms

sample1.0s

Algorithm
intervals
Results
217.0ms8897×body80valid
201.0ms8933×body80nan