Details

Time bar (total: 5.5s)

sample34.0ms

Algorithm
intervals
Results
7.0ms281×body80valid
6.0ms275×body80nan

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: 17.3b

localize10.0ms

Local error

Found 3 expressions with local error:

1.3b
(* c0 (sqrt (/ A (* V l))))
4.4b
(/ A (* V l))
15.5b
(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×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:
22.0ms
(* c0 (sqrt (/ A (* V l))))
7.0ms
(/ A (* V l))
6.0ms
(sqrt (/ A (* V l)))

series111.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* c0 (sqrt (/ A (* V l))))
22.0ms
(/ A (* V l))
39.0ms
(sqrt (/ A (* V l)))

simplify63.0ms

Counts
75 → 75
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0209321
1813296
23055293
35001293
done5001293

prune194.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
1.3b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
3.4b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
15.5b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite134.0ms

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)
69.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
39.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
20.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series580.0ms

Counts
4 → 12
Calls
4 calls:
396.0ms
(cbrt A)
78.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
45.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
60.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify67.0ms

Counts
118 → 118
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05101001
12553846
25001786
done5001786

prune344.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 3.7b

localize14.0ms

Local error

Found 4 expressions with local error:

3.4b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
3.4b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
15.5b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
15.5b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
56×times-frac
46×add-exp-log
44×associate-*r*
34×add-cube-cbrt *-un-lft-identity
32×add-cbrt-cube
22×cbrt-prod
16×prod-exp cbrt-unprod
14×pow1 cbrt-undiv div-exp associate-*l*
12×unswap-sqr
6×sqrt-div
4×frac-times sqrt-pow1 associate-*r/ pow-prod-down associate-*l/ div-inv add-log-exp
2×pow1/2 sqrt-prod *-commutative
Counts
4 → 146
Calls
4 calls:
37.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
35.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
23.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
21.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series208.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
50.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
54.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
60.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify58.0ms

Counts
158 → 158
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04171444
120481264
250021138
done50021138

prune604.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 3.7b

localize25.0ms

Local error

Found 4 expressions with local error:

2.1b
(sqrt (sqrt (* (/ (cbrt A) (* (cbrt V) (cbrt V))) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l)))))
3.4b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
15.5b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
15.5b
(sqrt (* (/ (cbrt A) (* (cbrt V) (cbrt V))) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l))))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
28×times-frac
25×add-exp-log
24×sqrt-div
22×pow1 associate-*r*
20×add-cube-cbrt *-un-lft-identity
18×add-cbrt-cube
13×sqrt-pow1
12×frac-times associate-*r/
11×cbrt-prod
8×pow-prod-down associate-*l/ prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l* sqrt-prod
6×unswap-sqr
4×pow1/2 add-log-exp
2×div-inv
1×rem-sqrt-square *-commutative
Counts
4 → 117
Calls
4 calls:
54.0ms
(sqrt (sqrt (* (/ (cbrt A) (* (cbrt V) (cbrt V))) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l)))))
35.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
22.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
55.0ms
(sqrt (* (/ (cbrt A) (* (cbrt V) (cbrt V))) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l))))

series335.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(sqrt (sqrt (* (/ (cbrt A) (* (cbrt V) (cbrt V))) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l)))))
50.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
56.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
39.0ms
(sqrt (* (/ (cbrt A) (* (cbrt V) (cbrt V))) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l))))

simplify67.0ms

Counts
129 → 129
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05621276
124191120
250011075
done50011075

prune543.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 3.7b

regimes712.0ms

Accuracy

47.9% (7.2b remaining)

Error of 11.6b against oracle of 4.4b and baseline of 18.3b

bsearch3.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05243
15243
done5243

end0.0ms

sample1.0s

Algorithm
intervals
Results
217.0ms8912×body80valid
211.0ms8809×body80nan