Details

Time bar (total: 17.3s)

sample52.0ms

Algorithm
intervals
Results
14.0ms272×body80valid
14.0ms268×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: 21.7b

localize9.0ms

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)))

rewrite88.0ms

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
times-frac
pow1
associate-*l* div-inv associate-/l* add-log-exp
cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod unswap-sqr
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 66
Calls
3 calls:
49.0ms
(* c0 (sqrt (/ A (* V l))))
14.0ms
(/ A (* V l))
20.0ms
(sqrt (/ A (* V l)))

series175.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(* c0 (sqrt (/ A (* V l))))
44.0ms
(/ A (* V l))
62.0ms
(sqrt (/ A (* V l)))

simplify4.4s

Counts
75 → 75
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
0103661
1208611
2586561
31997561
done5000561

prune318.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.2b

localize10.0ms

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)))

rewrite112.0ms

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
prod-exp
div-exp
unswap-sqr
sqrt-div associate-*r/
cbrt-unprod
cbrt-undiv
frac-times pow-prod-down associate-*l/ add-log-exp
rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
pow1/2
Counts
3 → 92
Calls
3 calls:
65.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
31.0ms
(* (/ 1 V) (/ A l))
9.0ms
(sqrt (* (/ 1 V) (/ A l)))

series206.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
28.0ms
(* (/ 1 V) (/ A l))
86.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify3.5s

Counts
101 → 101
Iterations

Useful iterations: 2 (254.0ms)

IterNodesCost
01611072
1393847
21157733
33629733
done5000733

prune341.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.8b

localize8.0ms

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))

rewrite133.0ms

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
pow1
unswap-sqr
cbrt-undiv rem-sqrt-square div-exp associate-*l* associate-/r* add-log-exp
sqrt-div
frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/
Counts
3 → 191
Calls
3 calls:
82.0ms
(* c0 (sqrt (/ (/ A l) V)))
23.0ms
(/ (/ A l) V)
15.0ms
(sqrt (/ (/ A l) V))

series150.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(* c0 (sqrt (/ (/ A l) V)))
34.0ms
(/ (/ A l) V)
44.0ms
(sqrt (/ (/ A l) V))

simplify3.2s

Counts
200 → 200
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
03092510
15712318
211782222
329712192
done50012192

prune953.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt A)
1.0ms
(cbrt A)
1.0ms
(cbrt V)
1.0ms
(cbrt V)

series1.1s

Counts
4 → 12
Calls
4 calls:
287.0ms
(cbrt A)
252.0ms
(cbrt A)
283.0ms
(cbrt V)
325.0ms
(cbrt V)

simplify2.1s

Counts
56 → 56
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
042260
171244
2144220
3298208
4773208
52577208
done5001208

prune334.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 0.0b

regimes12.0ms