Details

Time bar (total: 23.0s)

sample98.0ms

Algorithm
intervals
Results
33.0ms282×body80valid
33.0ms294×body80nan

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
212
112
08

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize23.0ms

Local error

Found 3 expressions with local error:

0.7b
(* c0 (sqrt (/ A (* V l))))
4.2b
(/ A (* V l))
15.7b
(sqrt (/ A (* V l)))

rewrite52.0ms

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* 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 → 72
Calls
3 calls:
30.0ms
(* c0 (sqrt (/ A (* V l))))
11.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))

series165.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(* c0 (sqrt (/ A (* V l))))
32.0ms
(/ A (* V l))
64.0ms
(sqrt (/ A (* V l)))

simplify797.0ms

Counts
81 → 81
Iterations
IterNodes
32110
2653
1219
0111

prune967.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.8b

localize39.0ms

Local error

Found 4 expressions with local error:

4.2b
(/ A (* V l))
4.2b
(/ A (* V l))
15.7b
(sqrt (/ A (* V l)))
15.7b
(sqrt (/ A (* V l)))

rewrite44.0ms

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 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 → 86
Calls
4 calls:
12.0ms
(/ A (* V l))
12.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))
9.0ms
(sqrt (/ A (* V l)))

series134.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ A (* V l))
21.0ms
(/ A (* V l))
44.0ms
(sqrt (/ A (* V l)))
44.0ms
(sqrt (/ A (* V l)))

simplify4.5s

Counts
98 → 98
Iterations
IterNodes
44684
31378
2397
1140
076

prune1.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.8b

localize24.0ms

Local error

Found 4 expressions with local error:

7.9b
(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
18.1b
(cbrt (/ A (* V l)))
18.1b
(cbrt (/ A (* V l)))
18.1b
(cbrt (/ A (* V l)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×pow1
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×sqrt-pow1 times-frac pow1/3
7×cbrt-div
4×expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×sqrt-div div-inv
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times rem-sqrt-square pow-plus pow1/2 associate-*l/ associate-*r/ sqrt-prod
Counts
4 → 78
Calls
4 calls:
13.0ms
(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
4.0ms
(cbrt (/ A (* V l)))
3.0ms
(cbrt (/ A (* V l)))
3.0ms
(cbrt (/ A (* V l)))

series518.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
126.0ms
(cbrt (/ A (* V l)))
129.0ms
(cbrt (/ A (* V l)))
136.0ms
(cbrt (/ A (* V l)))

simplify4.9s

Counts
90 → 90
Iterations
IterNodes
56775
41865
3566
2242
1152
098

prune1.6s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.8b

localize43.0ms

Local error

Found 4 expressions with local error:

4.1b
(* A (/ 1 (* V l)))
4.2b
(/ A (* V l))
15.7b
(sqrt (/ A (* V l)))
15.7b
(sqrt (* A (/ 1 (* V l))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
18×add-cbrt-cube
14×add-sqr-sqrt
11×*-un-lft-identity prod-exp add-cube-cbrt
10×pow1
9×times-frac
8×sqrt-prod
7×associate-*r*
6×div-exp
5×cbrt-unprod
4×expm1-log1p-u cbrt-undiv log1p-expm1-u add-log-exp
3×sqrt-pow1 sqrt-div associate-*l* div-inv associate-/l*
2×rec-exp pow1/2 1-exp pow-prod-down associate-*r/ un-div-inv
1×rem-sqrt-square clear-num associate-/r* frac-2neg *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
32.0ms
(* A (/ 1 (* V l)))
9.0ms
(/ A (* V l))
5.0ms
(sqrt (/ A (* V l)))
13.0ms
(sqrt (* A (/ 1 (* V l))))

series151.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* A (/ 1 (* V l)))
34.0ms
(/ A (* V l))
53.0ms
(sqrt (/ A (* V l)))
42.0ms
(sqrt (* A (/ 1 (* V l))))

simplify2.6s

Counts
104 → 104
Iterations
IterNodes
33706
2869
1287
0135

prune1.4s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 4.8b

regimes880.0ms

Accuracy

46.5% (6.5b remaining)

Error of 13.3b against oracle of 6.8b and baseline of 19.0b

bsearch2.0ms

simplify11.0ms

Iterations
IterNodes
238
138
031

end0.0ms

sample2.4s

Algorithm
intervals
Results
866.0ms9080×body80nan
830.0ms8875×body80valid