Details

Time bar (total: 13.8s)

sample32.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
196
2116
done116

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.0b

localize14.0ms

Local error

Found 1 expressions with local error:

17.5b
(cbrt (/ g (* 2.0 a)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log div-inv add-log-exp
Counts
1 → 16
Calls
1 calls:
7.0ms
(cbrt (/ g (* 2.0 a)))

series143.0ms

Counts
1 → 3
Calls
1 calls:
143.0ms
(cbrt (/ g (* 2.0 a)))

simplify804.0ms

Counts
19 → 19
Iterations

Useful iterations: done (803.0ms)

IterNodesCost
062199
194196
2161182
3390176
41619167
done5001163

prune96.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (cbrt g) (cbrt (* 2.0 a)))
0.5b
(cbrt g)
0.6b
(cbrt (* 2.0 a))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
24×times-frac
21×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-/l*
add-exp-log
associate-/r*
pow1 add-cbrt-cube add-log-exp
pow1/3
cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 66
Calls
3 calls:
11.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
1.0ms
(cbrt g)
8.0ms
(cbrt (* 2.0 a))

series786.0ms

Counts
3 → 9
Calls
3 calls:
224.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
284.0ms
(cbrt g)
278.0ms
(cbrt (* 2.0 a))

simplify1.2s

Counts
75 → 75
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0123785
1210758
2547718
32185705
done5001696

prune301.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (cbrt (* 2.0 a)))
0.4b
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
0.5b
(cbrt g)
0.6b
(cbrt (* 2.0 a))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
26×*-un-lft-identity
24×add-cube-cbrt
17×cbrt-prod add-exp-log
16×associate-*r*
pow1 add-cbrt-cube
associate-*l* unswap-sqr
associate-/r* div-exp prod-exp add-log-exp
pow1/3 associate-/l*
cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv pow-flip
clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative inv-pow
Counts
4 → 101
Calls
4 calls:
6.0ms
(/ 1 (cbrt (* 2.0 a)))
33.0ms
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
1.0ms
(cbrt g)
3.0ms
(cbrt (* 2.0 a))

series1.0s

Counts
4 → 12
Calls
4 calls:
384.0ms
(/ 1 (cbrt (* 2.0 a)))
168.0ms
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
212.0ms
(cbrt g)
264.0ms
(cbrt (* 2.0 a))

simplify5.5s

Counts
113 → 113
Iterations

Useful iterations: done (5.5s)

IterNodesCost
01541121
1340992
22565863
done5001851

prune469.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (cbrt g) (cbrt (/ (pow 1 3) (* 2.0 a))))
0.5b
(cbrt g)
0.6b
(cbrt (/ (pow 1 3) (* 2.0 a)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
24×times-frac
23×add-sqr-sqrt
19×associate-*r*
15×*-un-lft-identity add-cube-cbrt
unpow-prod-down cube-prod associate-*l*
pow1 add-exp-log
pow1/3 unswap-sqr
add-cbrt-cube add-log-exp
cube-mult cbrt-div unpow3 pow-prod-down div-inv sqr-pow
prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
3 → 78
Calls
3 calls:
41.0ms
(* (cbrt g) (cbrt (/ (pow 1 3) (* 2.0 a))))
1.0ms
(cbrt g)
10.0ms
(cbrt (/ (pow 1 3) (* 2.0 a)))

series720.0ms

Counts
3 → 9
Calls
3 calls:
171.0ms
(* (cbrt g) (cbrt (/ (pow 1 3) (* 2.0 a))))
262.0ms
(cbrt g)
287.0ms
(cbrt (/ (pow 1 3) (* 2.0 a)))

simplify858.0ms

Counts
87 → 87
Iterations

Useful iterations: done (854.0ms)

IterNodesCost
01491010
1291771
21067728
done5001713

prune389.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

regimes538.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample733.0ms

Algorithm
intervals
Results
398.0ms8000×body80valid