Details

Time bar (total: 9.7s)

sample34.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
196
2116
done116

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize12.0ms

Local error

Found 1 expressions with local error:

10.7b
(cbrt (/ g (* 2.0 a)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube div-inv add-log-exp
Counts
1 → 16
Calls
1 calls:
10.0ms
(cbrt (/ g (* 2.0 a)))

series151.0ms

Counts
1 → 3
Calls
1 calls:
151.0ms
(cbrt (/ g (* 2.0 a)))

simplify899.0ms

Counts
19 → 19
Iterations

Useful iterations: done (898.0ms)

IterNodesCost
062199
194196
2161182
3385176
41596167
done5001163

prune92.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
24×times-frac
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-/l*
add-exp-log
associate-/r*
pow1 add-cbrt-cube add-log-exp
pow1/3
cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 66
Calls
3 calls:
20.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
7.0ms
(cbrt (* 2.0 a))
2.0ms
(cbrt g)

series776.0ms

Counts
3 → 9
Calls
3 calls:
192.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
274.0ms
(cbrt (* 2.0 a))
310.0ms
(cbrt g)

simplify1.2s

Counts
75 → 75
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0123785
1212756
2547718
32173705
done5000696

prune232.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (cbrt 1) (/ (cbrt (* 2.0 a)) (cbrt g)))
0.4b
(/ (cbrt (* 2.0 a)) (cbrt g))
0.5b
(cbrt (* 2.0 a))
0.6b
(cbrt g)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
360×times-frac
239×cbrt-prod
185×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
34×associate-/r*
11×add-exp-log
10×associate-/l*
div-inv
add-cbrt-cube
pow1 cbrt-undiv div-exp add-log-exp
frac-2neg pow1/3 clear-num
associate-/r/
Counts
4 → 283
Calls
4 calls:
19.0ms
(/ (cbrt 1) (/ (cbrt (* 2.0 a)) (cbrt g)))
14.0ms
(/ (cbrt (* 2.0 a)) (cbrt g))
6.0ms
(cbrt (* 2.0 a))
2.0ms
(cbrt g)

series889.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(/ (cbrt 1) (/ (cbrt (* 2.0 a)) (cbrt g)))
143.0ms
(/ (cbrt (* 2.0 a)) (cbrt g))
296.0ms
(cbrt (* 2.0 a))
272.0ms
(cbrt g)

simplify727.0ms

Counts
295 → 295
Iterations

Useful iterations: done (713.0ms)

IterNodesCost
03975640
110054514
done50014423

prune602.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
26×*-un-lft-identity
24×add-cube-cbrt
17×add-exp-log cbrt-prod
16×associate-*l*
pow1 add-cbrt-cube
associate-*r* unswap-sqr
div-exp prod-exp associate-/r* add-log-exp
pow1/3 associate-/l*
cbrt-undiv rec-exp pow-flip 1-exp cbrt-unprod div-inv
frac-2neg pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
4 → 100
Calls
4 calls:
8.0ms
(/ 1 (cbrt (* 2.0 a)))
44.0ms
(* (/ 1 (cbrt (* 2.0 a))) (cbrt g))
5.0ms
(cbrt (* 2.0 a))
1.0ms
(cbrt g)

series1.2s

Counts
4 → 12
Calls
4 calls:
395.0ms
(/ 1 (cbrt (* 2.0 a)))
186.0ms
(* (/ 1 (cbrt (* 2.0 a))) (cbrt g))
317.0ms
(cbrt (* 2.0 a))
297.0ms
(cbrt g)

simplify1.4s

Counts
112 → 112
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01561108
13501007
21628865
done5001846

prune311.0ms

Pruning

14 alts after pruning (10 fresh and 4 done)

Merged error: 0.0b

regimes261.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample640.0ms

Algorithm
intervals
Results
345.0ms8000×body80valid