Details

Time bar (total: 25.2s)

sample80.0ms

Algorithm
intervals
Results
30.0ms280×body80valid
26.0ms279×body80nan

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
212
112
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize25.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (/ A (* V l))))
4.7b
(/ A (* V l))
14.0b
(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×associate-*l* insert-posit16 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 → 69
Calls
3 calls:
25.0ms
(* c0 (sqrt (/ A (* V l))))
18.0ms
(/ A (* V l))
8.0ms
(sqrt (/ A (* V l)))

series159.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(* c0 (sqrt (/ A (* V l))))
33.0ms
(/ A (* V l))
55.0ms
(sqrt (/ A (* V l)))

simplify756.0ms

Counts
78 → 78
Iterations
IterNodes
32144
2633
1218
0108

prune758.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.8b

localize19.0ms

Local error

Found 4 expressions with local error:

4.7b
(/ A (* V l))
4.7b
(/ A (* V l))
14.0b
(sqrt (/ A (* V l)))
14.0b
(sqrt (/ A (* V l)))

rewrite37.0ms

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×cbrt-undiv div-exp insert-posit16 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 → 82
Calls
4 calls:
7.0ms
(/ A (* V l))
11.0ms
(/ A (* V l))
10.0ms
(sqrt (/ A (* V l)))
9.0ms
(sqrt (/ A (* V l)))

series138.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ A (* V l))
21.0ms
(/ A (* V l))
46.0ms
(sqrt (/ A (* V l)))
41.0ms
(sqrt (/ A (* V l)))

simplify4.6s

Counts
94 → 94
Iterations
IterNodes
44722
31434
2431
1141
074

prune1.4s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 6.8b

localize25.0ms

Local error

Found 4 expressions with local error:

5.9b
(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
16.6b
(cbrt (/ A (* V l)))
16.6b
(cbrt (/ A (* V l)))
16.6b
(cbrt (/ A (* V l)))

rewrite21.0ms

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×add-cbrt-cube add-exp-log insert-posit16 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 → 74
Calls
4 calls:
6.0ms
(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
3.0ms
(cbrt (/ A (* V l)))
7.0ms
(cbrt (/ A (* V l)))
3.0ms
(cbrt (/ A (* V l)))

series409.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
107.0ms
(cbrt (/ A (* V l)))
95.0ms
(cbrt (/ A (* V l)))
96.0ms
(cbrt (/ A (* V l)))

simplify4.9s

Counts
86 → 86
Iterations
IterNodes
56693
41840
3552
2240
1150
096

prune1.3s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.8b

localize53.0ms

Local error

Found 4 expressions with local error:

4.7b
(/ A (* V l))
13.5b
(cbrt (* V l))
13.5b
(cbrt (* V l))
16.6b
(cbrt (/ A (* V l)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×times-frac
4×pow1 insert-posit16 add-log-exp
3×pow1/3 associate-/l*
2×cbrt-undiv div-exp div-inv
1×cbrt-div clear-num associate-/r* frac-2neg prod-exp cbrt-unprod
Counts
4 → 59
Calls
4 calls:
13.0ms
(/ A (* V l))
5.0ms
(cbrt (* V l))
5.0ms
(cbrt (* V l))
4.0ms
(cbrt (/ A (* V l)))

series343.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ A (* V l))
87.0ms
(cbrt (* V l))
87.0ms
(cbrt (* V l))
145.0ms
(cbrt (/ A (* V l)))

simplify4.8s

Counts
71 → 71
Iterations
IterNodes
46819
31896
2578
1225
0112

prune1.2s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 4.9b

regimes1.2s

Accuracy

30.5% (5.4b remaining)

Error of 9.7b against oracle of 4.3b and baseline of 12.1b

bsearch1.0ms

simplify5.0ms

Iterations
IterNodes
240
140
033

end0.0ms

sample2.8s

Algorithm
intervals
Results
914.0ms8921×body80valid
820.0ms9004×body80nan