Details

Time bar (total: 16.9s)

sample29.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
196
2116
done116

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize15.0ms

Local error

Found 1 expressions with local error:

15.5b
(cbrt (/ g (* 2.0 a)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×cbrt-prod
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
1×pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube div-inv add-log-exp
Counts
1 → 16
Calls
1 calls:
9.0ms
(cbrt (/ g (* 2.0 a)))

series193.0ms

Counts
1 → 3
Calls
1 calls:
193.0ms
(cbrt (/ g (* 2.0 a)))

simplify1.3s

Counts
19 → 19
Iterations

Useful iterations: done (1.2s)

IterNodesCost
062199
194196
2161182
3385176
41596167
done5001163

prune160.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
0.6b
(cbrt g)
0.6b
(cbrt (/ 1 (* 2.0 a)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
19×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
6×times-frac associate-*l*
5×pow1 add-exp-log
4×pow1/3 unswap-sqr
3×add-cbrt-cube add-log-exp
2×cbrt-div pow-prod-down div-inv
1×associate-*r/ prod-exp *-commutative cbrt-unprod
Counts
3 → 60
Calls
3 calls:
32.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
8.0ms
(cbrt g)
12.0ms
(cbrt (/ 1 (* 2.0 a)))

series906.0ms

Counts
3 → 9
Calls
3 calls:
181.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
349.0ms
(cbrt g)
375.0ms
(cbrt (/ 1 (* 2.0 a)))

simplify3.2s

Counts
69 → 69
Iterations

Useful iterations: done (3.2s)

IterNodesCost
0109671
1202635
2582593
32966578
done5001569

prune580.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
0.6b
(cbrt g)
0.6b
(cbrt (/ 1 (* 2.0 a)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
19×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
6×times-frac associate-*l*
5×pow1 add-exp-log
4×pow1/3 unswap-sqr
3×add-cbrt-cube add-log-exp
2×cbrt-div pow-prod-down div-inv
1×associate-*r/ prod-exp *-commutative cbrt-unprod
Counts
3 → 60
Calls
3 calls:
46.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
2.0ms
(cbrt g)
14.0ms
(cbrt (/ 1 (* 2.0 a)))

series1.4s

Counts
3 → 9
Calls
3 calls:
187.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
798.0ms
(cbrt g)
433.0ms
(cbrt (/ 1 (* 2.0 a)))

simplify2.9s

Counts
69 → 69
Iterations

Useful iterations: done (2.9s)

IterNodesCost
0109671
1202635
2582593
32966578
done5001569

prune617.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (cbrt g) (cbrt (* 2.0 a)))
0.6b
(cbrt (* 2.0 a))
0.6b
(cbrt g)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
24×times-frac
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-/l*
5×add-exp-log
4×associate-/r*
3×pow1 add-cbrt-cube add-log-exp
2×pow1/3
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 66
Calls
3 calls:
15.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
9.0ms
(cbrt (* 2.0 a))
2.0ms
(cbrt g)

series1.1s

Counts
3 → 9
Calls
3 calls:
246.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
450.0ms
(cbrt (* 2.0 a))
399.0ms
(cbrt g)

simplify1.9s

Counts
75 → 75
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0123785
1212756
2547718
32173705
done5000696

prune504.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

regimes1.0s

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
01112
11611
2189
done189

end0.0ms

sample914.0ms

Algorithm
intervals
Results
407.0ms8000×body80valid