Details

Time bar (total: 12.3s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×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: 14.9b

localize5.0ms

Local error

Found 1 expressions with local error:

14.6b
(cbrt (/ g (* 2.0 a)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
7×cbrt-prod
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
1×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)))

series100.0ms

Counts
1 → 3
Calls
1 calls:
100.0ms
(cbrt (/ g (* 2.0 a)))

simplify2.6s

Counts
19 → 19
Iterations

Useful iterations: 6 (2.0s)

IterNodesCost
062199
194196
2152182
3317176
4751167
51853163
64709161
done5000161

prune61.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize7.0ms

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)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
19×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
6×times-frac associate-*l*
5×pow1 add-exp-log
4×pow1/3 unswap-sqr
3×add-cbrt-cube add-log-exp
2×cbrt-div pow-prod-down div-inv
1×associate-*r/ prod-exp *-commutative cbrt-unprod
Counts
3 → 60
Calls
3 calls:
13.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
3.0ms
(cbrt (/ 1 (* 2.0 a)))
1.0ms
(cbrt g)

series496.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
207.0ms
(cbrt (/ 1 (* 2.0 a)))
182.0ms
(cbrt g)

simplify2.3s

Counts
69 → 69
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
0109671
1197639
2468593
31347578
43597569
done5000569

prune172.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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*
7×pow1 add-cbrt-cube
6×associate-*l* unswap-sqr
4×div-exp prod-exp associate-/r* add-log-exp
3×pow1/3 associate-/l*
2×cbrt-undiv rec-exp pow-flip 1-exp cbrt-unprod div-inv
1×frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 101
Calls
4 calls:
3.0ms
(/ 1 (cbrt (* 2.0 a)))
13.0ms
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
1.0ms
(cbrt (* 2.0 a))
1.0ms
(cbrt g)

series732.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(/ 1 (cbrt (* 2.0 a)))
127.0ms
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
201.0ms
(cbrt (* 2.0 a))
176.0ms
(cbrt g)

simplify1.6s

Counts
113 → 113
Iterations

Useful iterations: 3 (682.0ms)

IterNodesCost
01541121
1322949
2720863
32228842
done5001842

prune245.0ms

Pruning

18 alts after pruning (15 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
48×add-sqr-sqrt
32×*-un-lft-identity associate-*r*
31×times-frac
30×add-cube-cbrt
11×pow1 add-exp-log
8×unswap-sqr
7×pow1/3 associate-*l* pow-prod-down
6×cbrt-div
5×add-cbrt-cube
4×associate-*r/ prod-exp cbrt-unprod add-log-exp
3×div-inv
2×*-commutative
1×frac-times associate-*l/
Counts
4 → 111
Calls
4 calls:
22.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ 1 a)))
12.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
1.0ms
(cbrt g)
2.0ms
(cbrt (/ 1 a))

series719.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ 1 a)))
229.0ms
(* (cbrt g) (cbrt (/ 1 2.0)))
188.0ms
(cbrt g)
179.0ms
(cbrt (/ 1 a))

simplify2.2s

Counts
123 → 123
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01991310
14021166
210481076
337621061
done50001061

prune300.0ms

Pruning

16 alts after pruning (12 fresh and 4 done)

Merged error: 0b

regimes268.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1139
done139

end0.0ms

sample300.0ms

Algorithm
intervals
Results
167.0ms8000×body80valid