Details

Time bar (total: 15.7s)

sample51.0ms

Algorithm
intervals
Results
19.0ms280×body80valid
11.0ms311×body80nan

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1128
2148
done148

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.6b
(* c0 (sqrt (/ A (* V l))))
5.2b
(/ A (* V l))
16.4b
(sqrt (/ A (* V l)))

rewrite43.0ms

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:
25.0ms
(* c0 (sqrt (/ A (* V l))))
9.0ms
(/ A (* V l))
7.0ms
(sqrt (/ A (* V l)))

series137.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(* c0 (sqrt (/ A (* V l))))
28.0ms
(/ A (* V l))
43.0ms
(sqrt (/ A (* V l)))

simplify3.5s

Counts
75 → 75
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
0103661
1208611
2586561
31997561
done5000561

prune244.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
0.6b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
4.8b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
16.4b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite185.0ms

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)
94.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
42.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
41.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series545.0ms

Counts
4 → 12
Calls
4 calls:
293.0ms
(cbrt A)
101.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
70.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
81.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify1.4s

Counts
118 → 118
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01851720
14911620
218551155
done5000962

prune443.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.6b
(* c0 (sqrt (/ (/ A l) V)))
4.8b
(/ (/ A l) V)
16.4b
(sqrt (/ (/ A l) V))

rewrite77.0ms

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:
38.0ms
(* c0 (sqrt (/ (/ A l) V)))
17.0ms
(/ (/ A l) V)
12.0ms
(sqrt (/ (/ A l) V))

series136.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(* c0 (sqrt (/ (/ A l) V)))
24.0ms
(/ (/ A l) V)
39.0ms
(sqrt (/ (/ A l) V))

simplify2.5s

Counts
200 → 200
Iterations

Useful iterations: 3 (937.0ms)

IterNodesCost
03092510
15712318
211782222
329712192
done50012192

prune651.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt V)
0.6b
(cbrt V)
0.6b
(cbrt A)
0.6b
(cbrt A)

rewrite4.0ms

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)

series1.0s

Counts
4 → 12
Calls
4 calls:
267.0ms
(cbrt V)
262.0ms
(cbrt V)
237.0ms
(cbrt A)
237.0ms
(cbrt A)

simplify1.7s

Counts
56 → 56
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
042260
171244
2144220
3298208
4773208
52577208
done5001208

prune266.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.0b

regimes710.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01830
12130
done2130

end0.0ms

sample2.1s

Algorithm
intervals
Results
768.0ms8892×body80valid
472.0ms8882×body80nan