Details

Time bar (total: 8.8s)

sample31.0ms

Algorithm
intervals
Results
7.0ms277×body80valid
7.0ms257×body80nan

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
088
1128
2148
done148

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.1b

localize7.0ms

Local error

Found 3 expressions with local error:

2.0b
(* c0 (sqrt (/ A (* V l))))
7.2b
(/ A (* V l))
14.9b
(sqrt (/ A (* V l)))

rewrite18.0ms

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:
10.0ms
(* c0 (sqrt (/ A (* V l))))
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series98.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* c0 (sqrt (/ A (* V l))))
19.0ms
(/ A (* V l))
31.0ms
(sqrt (/ A (* V l)))

simplify1.1s

Counts
81 → 81
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0109705
1216655
2696605
32323605
done5001605

prune214.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 7.6b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
2.0b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
2.0b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
14.9b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite82.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 114
Calls
4 calls:
1.0ms
(cbrt A)
42.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
22.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
13.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series337.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt A)
69.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
42.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
54.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify649.0ms

Counts
126 → 126
Iterations

Useful iterations: 2 (199.0ms)

IterNodesCost
01931812
15211712
220241223
done50001223

prune401.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 5.6b

localize7.0ms

Local error

Found 3 expressions with local error:

2.0b
(* c0 (sqrt (/ (/ A V) l)))
3.1b
(/ (/ A V) l)
14.9b
(sqrt (/ (/ A V) l))

rewrite51.0ms

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:
24.0ms
(* c0 (sqrt (/ (/ A V) l)))
8.0ms
(/ (/ A V) l)
8.0ms
(sqrt (/ (/ A V) l))

series100.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* c0 (sqrt (/ (/ A V) l)))
24.0ms
(/ (/ A V) l)
32.0ms
(sqrt (/ (/ A V) l))

simplify1.2s

Counts
206 → 206
Iterations

Useful iterations: 2 (245.0ms)

IterNodesCost
03162554
15832362
216732266
done50002266

prune621.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 1.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
0.6b
(cbrt A)
2.0b
(* c0 (* (fabs (/ (cbrt A) (cbrt V))) (sqrt (/ (/ (cbrt A) (cbrt V)) l))))
5.3b
(sqrt (/ (/ (cbrt A) (cbrt V)) l))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
138×add-sqr-sqrt
124×sqrt-prod
123×add-cube-cbrt *-un-lft-identity
118×cbrt-prod
10×pow1
9×add-exp-log add-cbrt-cube
6×rem-sqrt-square
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×pow1/3 sqrt-div associate-*r/
1×sqrt-pow1 pow1/2 associate-*r* *-commutative
Counts
4 → 189
Calls
4 calls:
0.0ms
(cbrt A)
1.0ms
(cbrt A)
55.0ms
(* c0 (* (fabs (/ (cbrt A) (cbrt V))) (sqrt (/ (/ (cbrt A) (cbrt V)) l))))
22.0ms
(sqrt (/ (/ (cbrt A) (cbrt V)) l))

series670.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt A)
178.0ms
(cbrt A)
152.0ms
(* c0 (* (fabs (/ (cbrt A) (cbrt V))) (sqrt (/ (/ (cbrt A) (cbrt V)) l))))
163.0ms
(sqrt (/ (/ (cbrt A) (cbrt V)) l))

simplify919.0ms

Counts
201 → 201
Iterations

Useful iterations: done (911.0ms)

IterNodesCost
05543728
110383457
227193284
done50013283

prune728.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 1.0b

regimes514.0ms

Accuracy

0% (1.5b remaining)

Error of 2.1b against oracle of 0.6b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02335
12835
done2835

end0.0ms

sample932.0ms

Algorithm
intervals
Results
245.0ms8907×body80valid
237.0ms8937×body80nan