Details

Time bar (total: 20.1s)

sample15.0ms

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: 13.3b

localize14.0ms

Local error

Found 1 expressions with local error:

13.0b
(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 expm1-log1p-u cbrt-div pow1/3 add-cbrt-cube log1p-expm1-u div-inv add-log-exp
Counts
1 → 18
Calls
1 calls:
9.0ms
(cbrt (/ g (* 2.0 a)))

series155.0ms

Counts
1 → 3
Calls
1 calls:
155.0ms
(cbrt (/ g (* 2.0 a)))

simplify5.7s

Counts
21 → 21
Iterations

Useful iterations: 6 (4.1s)

IterNodesCost
064213
196210
2152196
3335190
4774181
51851177
64613175
done5000175

prune99.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

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
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
cbrt-div pow-prod-down div-inv
associate-*r/ prod-exp *-commutative cbrt-unprod
Counts
3 → 66
Calls
3 calls:
31.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
11.0ms
(cbrt (/ 1 (* 2.0 a)))
1.0ms
(cbrt g)

series616.0ms

Counts
3 → 9
Calls
3 calls:
121.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
221.0ms
(cbrt (/ 1 (* 2.0 a)))
275.0ms
(cbrt g)

simplify3.4s

Counts
75 → 75
Iterations

Useful iterations: done (3.4s)

IterNodesCost
0115711
1203679
2458633
31171618
43351609
done5001597

prune341.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

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
expm1-log1p-u div-exp prod-exp associate-/r* log1p-expm1-u 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 → 109
Calls
4 calls:
22.0ms
(/ 1 (cbrt (* 2.0 a)))
47.0ms
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
7.0ms
(cbrt (* 2.0 a))
2.0ms
(cbrt g)

series1.3s

Counts
4 → 12
Calls
4 calls:
336.0ms
(/ 1 (cbrt (* 2.0 a)))
192.0ms
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
397.0ms
(cbrt (* 2.0 a))
342.0ms
(cbrt g)

simplify2.4s

Counts
121 → 121
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01621171
1323995
2716909
31967888
done5001879

prune417.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

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 expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow1/3
cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 72
Calls
3 calls:
8.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
4.0ms
(cbrt (* 2.0 a))
1.0ms
(cbrt g)

series932.0ms

Counts
3 → 9
Calls
3 calls:
213.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
401.0ms
(cbrt (* 2.0 a))
318.0ms
(cbrt g)

simplify3.0s

Counts
81 → 81
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0129817
1212788
2450750
31092737
43840728
done5000722

prune340.0ms

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 0.0b

regimes571.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1139
done139

end0.0ms

sample629.0ms

Algorithm
intervals
Results
423.0ms8000×body80valid