Details

Time bar (total: 18.2s)

sample83.0ms

Algorithm
intervals
Results
32.0ms306×body80nan
24.0ms272×body80valid

simplify29.0ms

Counts
1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.0b

localize48.0ms

Local error

Found 3 expressions with local error:

18.5b
(sqrt (/ A (* V l)))
3.1b
(/ A (* V l))
1.0b
(* c0 (sqrt (/ A (* V l))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×*-un-lft-identity add-cube-cbrt
10×add-cbrt-cube associate-*r* add-exp-log
9×times-frac
6×pow1
3×expm1-log1p-u associate-*l* insert-posit16 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 clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 pow-prod-down associate-*r/ *-commutative
Counts
3 → 75
Calls
3 calls:
Slowest
34.0ms
(* c0 (sqrt (/ A (* V l))))
13.0ms
(/ A (* V l))
11.0ms
(sqrt (/ A (* V l)))

series135.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
62.0ms
(* c0 (sqrt (/ A (* V l))))
48.0ms
(sqrt (/ A (* V l)))
26.0ms
(/ A (* V l))

simplify828.0ms

Counts
84 → 84

prune1.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.0b

localize17.0ms

Local error

Found 3 expressions with local error:

18.5b
(sqrt (/ A (* l V)))
3.1b
(/ A (* l V))
1.0b
(* c0 (sqrt (/ A (* l V))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×*-un-lft-identity add-cube-cbrt
10×add-cbrt-cube associate-*r* add-exp-log
9×times-frac
6×pow1
3×expm1-log1p-u associate-*l* insert-posit16 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 clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 pow-prod-down associate-*r/ *-commutative
Counts
3 → 75
Calls
3 calls:
Slowest
22.0ms
(* c0 (sqrt (/ A (* l V))))
6.0ms
(/ A (* l V))
5.0ms
(sqrt (/ A (* l V)))

series126.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
63.0ms
(* c0 (sqrt (/ A (* l V))))
39.0ms
(sqrt (/ A (* l V)))
23.0ms
(/ A (* l V))

simplify779.0ms

Counts
84 → 84

prune1.3s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.3b

localize48.0ms

Local error

Found 4 expressions with local error:

18.5b
(sqrt (/ A (* V l)))
18.5b
(sqrt (/ A (* V l)))
3.1b
(/ A (* V l))
3.1b
(/ A (* V l))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt add-cbrt-cube add-exp-log sqrt-prod
12×*-un-lft-identity times-frac add-cube-cbrt
6×pow1 associate-/l*
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
2×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp cbrt-unprod
Counts
4 → 90
Calls
4 calls:
Slowest
12.0ms
(/ A (* V l))
11.0ms
(sqrt (/ A (* V l)))
10.0ms
(sqrt (/ A (* V l)))
7.0ms
(/ A (* V l))

series172.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
55.0ms
(sqrt (/ A (* V l)))
47.0ms
(sqrt (/ A (* V l)))
37.0ms
(/ A (* V l))
33.0ms
(/ A (* V l))

simplify3.8s

Counts
102 → 102

prune1.7s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.3b

localize50.0ms

Local error

Found 4 expressions with local error:

20.1b
(cbrt (/ A (* V l)))
20.1b
(cbrt (/ A (* V l)))
20.1b
(cbrt (/ A (* V l)))
18.5b
(sqrt (/ A (* V l)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
13×add-sqr-sqrt
12×*-un-lft-identity times-frac add-cube-cbrt
7×sqrt-prod
5×pow1
4×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3
1×rem-sqrt-square sqrt-pow1 pow1/2 sqrt-div
Counts
4 → 78
Calls
4 calls:
Slowest
10.0ms
(sqrt (/ A (* V l)))
4.0ms
(cbrt (/ A (* V l)))
3.0ms
(cbrt (/ A (* V l)))
3.0ms
(cbrt (/ A (* V l)))

series413.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
136.0ms
(cbrt (/ A (* V l)))
136.0ms
(cbrt (/ A (* V l)))
104.0ms
(cbrt (/ A (* V l)))
37.0ms
(sqrt (/ A (* V l)))

simplify1.2s

Counts
90 → 90

prune1.8s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 4.3b

regimes1.4s

Accuracy

39.2% (9.3b remaining)

Error of 13.1b against oracle of 3.9b and baseline of 19.1b

bsearch16.0ms

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.3s8926×body80valid
942.0ms8933×body80nan