Details

Time bar (total: 12.0s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
066
196
2116
done116

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize5.0ms

Local error

Found 1 expressions with local error:

16.7b
(cbrt (/ g (* 2.0 a)))

rewrite2.0ms

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

series91.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(cbrt (/ g (* 2.0 a)))

simplify2.7s

Counts
19 → 19
Iterations

Useful iterations: 6 (2.0s)

IterNodesCost
062199
194196
2152182
3317176
4751167
51853163
64709161
done5000161

prune55.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

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:
10.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
3.0ms
(cbrt (/ 1 (* 2.0 a)))
1.0ms
(cbrt g)

series464.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
193.0ms
(cbrt (/ 1 (* 2.0 a)))
169.0ms
(cbrt g)

simplify2.2s

Counts
69 → 69
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
0109671
1197639
2468593
31347578
43597569
done5000569

prune162.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite7.0ms

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:
3.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
0.0ms
(cbrt g)
1.0ms
(cbrt (* 2.0 a))

series497.0ms

Counts
3 → 9
Calls
3 calls:
121.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
182.0ms
(cbrt g)
193.0ms
(cbrt (* 2.0 a))

simplify1.6s

Counts
75 → 75
Iterations

Useful iterations: 4 (848.0ms)

IterNodesCost
0123785
1206756
2439718
31156705
44069696
done5000696

prune193.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
73×cbrt-prod
60×add-sqr-sqrt
49×times-frac
44×*-un-lft-identity
42×add-cube-cbrt
41×associate-*r*
18×sqrt-prod
11×pow1 add-exp-log
unswap-sqr
pow1/3 associate-*l* pow-prod-down
cbrt-div
add-cbrt-cube
associate-*r/ prod-exp cbrt-unprod add-log-exp
div-inv
*-commutative
frac-times associate-*l/
Counts
4 → 129
Calls
4 calls:
22.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ (sqrt 1) a)))
10.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
2.0ms
(cbrt (/ (sqrt 1) a))
1.0ms
(cbrt g)

series694.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ (sqrt 1) a)))
222.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
175.0ms
(cbrt (/ (sqrt 1) a))
182.0ms
(cbrt g)

simplify2.4s

Counts
141 → 141
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
02331662
14651358
211131268
338651253
done50001253

prune333.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes219.0ms

Accuracy

0% (0.8b 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
01010
11310
done1310

end0.0ms

sample285.0ms

Algorithm
intervals
Results
159.0ms8000×body80valid