Details

Time bar (total: 15.7s)

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify8.0ms

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: 18.1b

localize10.0ms

Local error

Found 1 expressions with local error:

17.7b
(cbrt (/ g (* 2.0 a)))

rewrite10.0ms

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:
9.0ms
(cbrt (/ g (* 2.0 a)))

series146.0ms

Counts
1 → 3
Calls
1 calls:
145.0ms
(cbrt (/ g (* 2.0 a)))

simplify3.9s

Counts
19 → 19
Iterations

Useful iterations: 6 (2.8s)

IterNodesCost
062199
194196
2150182
3327176
4758167
51764163
64409161
done5000161

prune78.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

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:
12.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
5.0ms
(cbrt (* 2.0 a))
1.0ms
(cbrt g)

series613.0ms

Counts
3 → 9
Calls
3 calls:
156.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
229.0ms
(cbrt (* 2.0 a))
228.0ms
(cbrt g)

simplify2.3s

Counts
75 → 75
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0123785
1206756
2444718
31078705
43772696
done5000690

prune254.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 0.1b

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

rewrite60.0ms

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-*r*
pow1 add-cbrt-cube
associate-*l* 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 associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 101
Calls
4 calls:
11.0ms
(/ 1 (cbrt (* 2.0 a)))
38.0ms
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
5.0ms
(cbrt (* 2.0 a))
1.0ms
(cbrt g)

series843.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(/ 1 (cbrt (* 2.0 a)))
149.0ms
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
259.0ms
(cbrt (* 2.0 a))
188.0ms
(cbrt g)

simplify2.2s

Counts
113 → 113
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01541121
1315949
2706863
31933842
done5000833

prune795.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
111×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
98×cbrt-prod
34×associate-/r*
17×add-exp-log
div-exp
add-cbrt-cube associate-/l*
div-inv
pow1
cbrt-undiv add-log-exp
rec-exp frac-2neg pow1/3 1-exp clear-num
pow-flip associate-/r/ inv-pow
Counts
4 → 202
Calls
4 calls:
14.0ms
(/ 1 (/ (cbrt (* 2.0 a)) (cbrt g)))
8.0ms
(/ (cbrt (* 2.0 a)) (cbrt g))
3.0ms
(cbrt (* 2.0 a))
1.0ms
(cbrt g)

series934.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(/ 1 (/ (cbrt (* 2.0 a)) (cbrt g)))
137.0ms
(/ (cbrt (* 2.0 a)) (cbrt g))
334.0ms
(cbrt (* 2.0 a))
291.0ms
(cbrt g)

simplify1.9s

Counts
214 → 214
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02973343
16002901
211702570
329302496
done50012469

prune472.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 0.0b

regimes498.0ms

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
099
1129
done129

end0.0ms

sample538.0ms

Algorithm
intervals
Results
256.0ms8000×body80valid