Details

Time bar (total: 5.0s)

sample362.0ms

Algorithm
intervals
Results
323.0ms280×body80nan
10.0ms281×body80valid

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.0b

localize9.0ms

Local error

Found 3 expressions with local error:

1.4b
(* c0 (sqrt (/ A (* V l))))
4.5b
(/ A (* V l))
14.9b
(sqrt (/ A (* V l)))

rewrite40.0ms

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:
23.0ms
(* c0 (sqrt (/ A (* V l))))
8.0ms
(/ A (* V l))
6.0ms
(sqrt (/ A (* V l)))

series122.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(* c0 (sqrt (/ A (* V l))))
22.0ms
(/ A (* V l))
42.0ms
(sqrt (/ A (* V l)))

simplify57.0ms

Counts
75 → 75

prune193.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 6.7b

localize13.0ms

Local error

Found 4 expressions with local error:

4.5b
(/ A (* V l))
4.5b
(/ A (* V l))
17.2b
(cbrt (/ A (* V l)))
17.2b
(cbrt (/ A (* V l)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log cbrt-prod add-cbrt-cube
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
6×associate-/l*
4×pow1 cbrt-undiv div-exp div-inv add-log-exp
2×cbrt-div frac-2neg pow1/3 prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 74
Calls
4 calls:
13.0ms
(/ A (* V l))
8.0ms
(/ A (* V l))
4.0ms
(cbrt (/ A (* V l)))
5.0ms
(cbrt (/ A (* V l)))

series232.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ A (* V l))
26.0ms
(/ A (* V l))
91.0ms
(cbrt (/ A (* V l)))
93.0ms
(cbrt (/ A (* V l)))

simplify44.0ms

Counts
86 → 86

prune299.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 6.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
4.5b
(/ A (* V l))
12.8b
(cbrt (* V l))
17.2b
(cbrt (/ A (* V l)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×cbrt-prod
9×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×times-frac
4×pow1 add-log-exp
3×pow1/3 associate-/l*
2×cbrt-undiv div-exp div-inv
1×cbrt-div frac-2neg prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt A)
8.0ms
(/ A (* V l))
3.0ms
(cbrt (* V l))
5.0ms
(cbrt (/ A (* V l)))

series390.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt A)
22.0ms
(/ A (* V l))
77.0ms
(cbrt (* V l))
96.0ms
(cbrt (/ A (* V l)))

simplify55.0ms

Counts
69 → 69

prune289.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 6.2b

localize22.0ms

Local error

Found 4 expressions with local error:

12.8b
(cbrt (* V l))
14.9b
(sqrt (/ A (* V l)))
14.9b
(sqrt (/ A (* V l)))
17.2b
(cbrt (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
14×sqrt-prod
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 times-frac sqrt-div
4×add-exp-log add-cbrt-cube add-log-exp
3×cbrt-div
2×cbrt-prod rem-sqrt-square sqrt-pow1 pow1/2 pow1/3 div-inv
1×frac-times associate-*r/ associate-*l/
Counts
4 → 57
Calls
4 calls:
3.0ms
(cbrt (* V l))
7.0ms
(sqrt (/ A (* V l)))
6.0ms
(sqrt (/ A (* V l)))
32.0ms
(cbrt (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))))

series241.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(cbrt (* V l))
37.0ms
(sqrt (/ A (* V l)))
35.0ms
(sqrt (/ A (* V l)))
98.0ms
(cbrt (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))))

simplify45.0ms

Counts
69 → 69

prune280.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 5.3b

regimes663.0ms

Accuracy

37.8% (4.8b remaining)

Error of 9.4b against oracle of 4.6b and baseline of 12.3b

bsearch1.0ms

simplify1.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
386.0ms8777×body80nan
292.0ms8911×body80valid