Details

Time bar (total: 14.5s)

sample51.0ms

Algorithm
intervals
Results
16.0ms281×body80valid
9.0ms286×body80nan

simplify5.0ms

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: 17.8b

localize8.0ms

Local error

Found 3 expressions with local error:

1.0b
(* c0 (sqrt (/ A (* V l))))
4.7b
(/ A (* V l))
15.2b
(sqrt (/ A (* V l)))

rewrite72.0ms

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:
52.0ms
(* c0 (sqrt (/ A (* V l))))
8.0ms
(/ A (* V l))
7.0ms
(sqrt (/ A (* V l)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(* c0 (sqrt (/ A (* V l))))
32.0ms
(/ A (* V l))
38.0ms
(sqrt (/ A (* V l)))

simplify2.7s

Counts
81 → 81
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0109705
1222655
2747607
33488605
done5001605

prune296.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 6.1b

localize19.0ms

Local error

Found 3 expressions with local error:

1.0b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
5.4b
(* (/ 1 V) (/ A l))
15.2b
(sqrt (* (/ 1 V) (/ A l)))

rewrite108.0ms

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:
66.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
24.0ms
(* (/ 1 V) (/ A l))
16.0ms
(sqrt (* (/ 1 V) (/ A l)))

series190.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
24.0ms
(* (/ 1 V) (/ A l))
71.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify2.0s

Counts
107 → 107
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01671128
14601039
22430795
done5001785

prune370.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.0b

localize19.0ms

Local error

Found 3 expressions with local error:

1.0b
(* c0 (sqrt (/ (/ A l) V)))
5.4b
(/ (/ A l) V)
15.2b
(sqrt (/ (/ A l) V))

rewrite106.0ms

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:
61.0ms
(* c0 (sqrt (/ (/ A l) V)))
11.0ms
(/ (/ A l) V)
13.0ms
(sqrt (/ (/ A l) V))

series124.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(* c0 (sqrt (/ (/ A l) V)))
20.0ms
(/ (/ A l) V)
42.0ms
(sqrt (/ (/ A l) V))

simplify1.3s

Counts
206 → 206
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03152554
16172362
221022268
done50002236

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt V)
0.6b
(cbrt V)
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 V)
1.0ms
(cbrt V)
1.0ms
(cbrt A)
1.0ms
(cbrt A)

series1.2s

Counts
4 → 12
Calls
4 calls:
285.0ms
(cbrt V)
345.0ms
(cbrt V)
279.0ms
(cbrt A)
243.0ms
(cbrt A)

simplify1.2s

Counts
64 → 64
Iterations

Useful iterations: 3 (134.0ms)

IterNodesCost
046284
181268
2210244
3640232
41940232
done5000232

prune363.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

regimes706.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01523
12021
22121
done2121

end0.0ms

sample2.5s

Algorithm
intervals
Results
517.0ms8866×body80valid
480.0ms8788×body80nan