Details

Time bar (total: 5.1s)

sample39.0ms

Algorithm
intervals
Results
9.0ms289×body80valid
7.0ms306×body80nan

simplify4.0ms

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: 19.3b

localize6.0ms

Local error

Found 3 expressions with local error:

1.5b
(* c0 (sqrt (/ A (* V l))))
6.9b
(/ A (* V l))
15.5b
(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))))
7.0ms
(/ A (* V l))
7.0ms
(sqrt (/ A (* V l)))

series102.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
35.0ms
(sqrt (/ A (* V l)))

simplify60.0ms

Counts
81 → 81
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0215345
1819320
23061317
35001317
done5001317

prune189.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.1b

localize6.0ms

Local error

Found 3 expressions with local error:

1.5b
(* c0 (sqrt (/ (/ A V) l)))
4.9b
(/ (/ A V) l)
15.5b
(sqrt (/ (/ A V) l))

rewrite69.0ms

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:
34.0ms
(* c0 (sqrt (/ (/ A V) l)))
14.0ms
(/ (/ A V) l)
11.0ms
(sqrt (/ (/ A V) l))

series107.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* c0 (sqrt (/ (/ A V) l)))
21.0ms
(/ (/ A V) l)
38.0ms
(sqrt (/ (/ A V) l))

simplify58.0ms

Counts
206 → 206
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05841424
120141350
250011314
done50011314

prune574.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

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 l)
1.0ms
(cbrt l)
1.0ms
(cbrt A)
1.0ms
(cbrt A)

series720.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt l)
186.0ms
(cbrt l)
178.0ms
(cbrt A)
178.0ms
(cbrt A)

simplify52.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152
done5001152

prune316.0ms

Pruning

20 alts after pruning (19 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 A)
0.6b
(cbrt A)

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 l)
1.0ms
(cbrt l)
1.0ms
(cbrt A)
1.0ms
(cbrt A)

series726.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt l)
184.0ms
(cbrt l)
181.0ms
(cbrt A)
175.0ms
(cbrt A)

simplify53.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152
done5001152

prune304.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 0.0b

regimes571.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01514
11514
done1514

end0.0ms

sample1.0s

Algorithm
intervals
Results
218.0ms8912×body80valid
217.0ms8798×body80nan