Details

Time bar (total: 15.4s)

sample80.0ms

Algorithm
intervals
Results
17.0ms284×body80valid
16.0ms277×body80nan

simplify26.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize18.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ A (* V l))))
4.6b
(/ A (* V l))
17.3b
(sqrt (/ A (* V l)))

rewrite97.0ms

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×associate-*l* 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 → 66
Calls
3 calls:
64.0ms
(* c0 (sqrt (/ A (* V l))))
15.0ms
(/ A (* V l))
14.0ms
(sqrt (/ A (* V l)))

series172.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(* c0 (sqrt (/ A (* V l))))
37.0ms
(/ A (* V l))
57.0ms
(sqrt (/ A (* V l)))

simplify1.1s

Counts
75 → 75

prune311.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.8b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
0.9b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
4.6b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
17.3b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
28×times-frac
27×add-exp-log
26×associate-*r*
22×add-cube-cbrt *-un-lft-identity
20×add-cbrt-cube
14×cbrt-prod
11×pow1
10×associate-*l*
9×prod-exp cbrt-unprod
7×cbrt-undiv div-exp unswap-sqr
6×sqrt-div associate-*r/
4×add-log-exp
3×frac-times pow-prod-down associate-*l/
2×sqrt-pow1 sqrt-prod *-commutative div-inv
1×pow1/2 pow1/3
Counts
4 → 106
Calls
4 calls:
1.0ms
(cbrt A)
115.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
59.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
42.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series579.0ms

Counts
4 → 12
Calls
4 calls:
323.0ms
(cbrt A)
103.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
73.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
80.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify1.1s

Counts
118 → 118

prune506.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ (/ A V) l)))
4.1b
(/ (/ A V) l)
17.3b
(sqrt (/ (/ A V) l))

rewrite100.0ms

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 rem-sqrt-square div-exp associate-*l* associate-/r* 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 → 191
Calls
3 calls:
58.0ms
(* c0 (sqrt (/ (/ A V) l)))
20.0ms
(/ (/ A V) l)
10.0ms
(sqrt (/ (/ A V) l))

series167.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(* c0 (sqrt (/ (/ A V) l)))
27.0ms
(/ (/ A V) l)
50.0ms
(sqrt (/ (/ A V) l))

simplify831.0ms

Counts
200 → 200

prune1.0s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
2.0ms
(cbrt l)
2.0ms
(cbrt l)
2.0ms
(cbrt A)
2.0ms
(cbrt A)

series1.2s

Counts
4 → 12
Calls
4 calls:
297.0ms
(cbrt l)
289.0ms
(cbrt l)
283.0ms
(cbrt A)
284.0ms
(cbrt A)

simplify942.0ms

Counts
56 → 56

prune315.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

regimes597.0ms

Accuracy

0.2% (1.1b remaining)

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

bsearch0.0ms

simplify3.9s

end0.0ms

sample2.1s

Algorithm
intervals
Results
378.0ms8941×body80valid
359.0ms8938×body80nan