Details

Time bar (total: 12.1s)

sample65.0ms

Algorithm
intervals
Results
14.0ms281×body80valid
13.0ms286×body80nan

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1128
2148
done148

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.8b

localize12.0ms

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×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:
47.0ms
(* c0 (sqrt (/ A (* V l))))
11.0ms
(/ A (* V l))
10.0ms
(sqrt (/ A (* V l)))

series143.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(* c0 (sqrt (/ A (* V l))))
27.0ms
(/ A (* V l))
45.0ms
(sqrt (/ A (* V l)))

simplify2.6s

Counts
75 → 75
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
0103661
1218611
2756563
33464561
done5000561

prune285.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 6.1b

localize10.0ms

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)))

rewrite103.0ms

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×frac-times pow-prod-down associate-*l/ add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 92
Calls
3 calls:
55.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
35.0ms
(* (/ 1 V) (/ A l))
9.0ms
(sqrt (* (/ 1 V) (/ A l)))

series170.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
29.0ms
(* (/ 1 V) (/ A l))
86.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify1.7s

Counts
101 → 101
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01611072
1458983
22550751
done5001741

prune240.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.0b

localize9.0ms

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))

rewrite74.0ms

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:
40.0ms
(* c0 (sqrt (/ (/ A l) V)))
11.0ms
(/ (/ A l) V)
10.0ms
(sqrt (/ (/ A l) V))

series111.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* c0 (sqrt (/ (/ A l) V)))
25.0ms
(/ (/ A l) V)
36.0ms
(sqrt (/ (/ A l) V))

simplify878.0ms

Counts
200 → 200
Iterations

Useful iterations: done (872.0ms)

IterNodesCost
03092510
16112318
221072228
done50002196

prune859.0ms

Pruning

18 alts after pruning (18 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)

rewrite7.0ms

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:
1.0ms
(cbrt V)
1.0ms
(cbrt V)
1.0ms
(cbrt A)
1.0ms
(cbrt A)

series829.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt V)
234.0ms
(cbrt V)
194.0ms
(cbrt A)
210.0ms
(cbrt A)

simplify814.0ms

Counts
56 → 56
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
042260
177244
2211220
3659208
41936208
done5000208

prune299.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.0b

regimes713.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01321
11521
done1521

end0.0ms

sample2.0s

Algorithm
intervals
Results
696.0ms8866×body80valid
385.0ms8788×body80nan