Details

Time bar (total: 9.3s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
196
2116
done116

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize7.0ms

Local error

Found 1 expressions with local error:

17.9b
(cbrt (/ g (* 2.0 a)))

rewrite5.0ms

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:
5.0ms
(cbrt (/ g (* 2.0 a)))

series124.0ms

Counts
1 → 3
Calls
1 calls:
124.0ms
(cbrt (/ g (* 2.0 a)))

simplify879.0ms

Counts
19 → 19
Iterations

Useful iterations: done (878.0ms)

IterNodesCost
062199
194196
2161182
3385176
41596167
done5001163

prune81.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

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)

rewrite14.0ms

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:
7.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
3.0ms
(cbrt (* 2.0 a))
1.0ms
(cbrt g)

series700.0ms

Counts
3 → 9
Calls
3 calls:
168.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
288.0ms
(cbrt (* 2.0 a))
244.0ms
(cbrt g)

simplify1.2s

Counts
75 → 75
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0123785
1212756
2547718
32173705
done5000696

prune266.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
19×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
times-frac associate-*l*
pow1 add-exp-log
pow1/3 unswap-sqr
add-cbrt-cube add-log-exp
cbrt-div pow-prod-down div-inv
associate-*r/ prod-exp *-commutative cbrt-unprod
Counts
3 → 60
Calls
3 calls:
27.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
17.0ms
(cbrt (/ 1 (* 2.0 a)))
2.0ms
(cbrt g)

series670.0ms

Counts
3 → 9
Calls
3 calls:
132.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
291.0ms
(cbrt (/ 1 (* 2.0 a)))
247.0ms
(cbrt g)

simplify2.0s

Counts
69 → 69
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0109671
1202639
2594593
33069578
done5000569

prune187.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
42×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
22×times-frac associate-*l*
11×pow1 add-exp-log
unswap-sqr
pow1/3 associate-*r* pow-prod-down
add-cbrt-cube
prod-exp cbrt-unprod add-log-exp
cbrt-div
associate-*l/ *-commutative div-inv
associate-*r/
Counts
4 → 99
Calls
4 calls:
40.0ms
(* (cbrt g) (* (cbrt (/ 1 a)) (cbrt 0.5)))
23.0ms
(* (cbrt (/ 1 a)) (cbrt 0.5))
1.0ms
(cbrt g)
4.0ms
(cbrt (/ 1 a))

series900.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(* (cbrt g) (* (cbrt (/ 1 a)) (cbrt 0.5)))
252.0ms
(* (cbrt (/ 1 a)) (cbrt 0.5))
237.0ms
(cbrt g)
257.0ms
(cbrt (/ 1 a))

simplify779.0ms

Counts
111 → 111
Iterations

Useful iterations: done (775.0ms)

IterNodesCost
01651071
13221006
21163926
done5001913

prune340.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

regimes332.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample578.0ms

Algorithm
intervals
Results
282.0ms8000×body80valid