Details

Time bar (total: 12.2s)

sample20.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize8.0ms

Local error

Found 1 expressions with local error:

13.7b
(cbrt (/ g (* 2 a)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
7×cbrt-prod
3×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
1×pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 div-inv add-log-exp
Counts
1 → 17
Calls
1 calls:
3.0ms
(cbrt (/ g (* 2 a)))

series118.0ms

Counts
1 → 3
Calls
1 calls:
118.0ms
(cbrt (/ g (* 2 a)))

simplify797.0ms

Counts
20 → 20
Iterations
IterNodes
done2003
52003
4906
3290
2148
195
063

prune171.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (cbrt g) (cbrt (* 2 a)))
0.5b
(cbrt (* 2 a))
0.6b
(cbrt g)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
24×times-frac
21×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×associate-/l*
5×add-exp-log
4×associate-/r*
3×pow1 add-cbrt-cube insert-posit16 add-log-exp
2×pow1/3
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 69
Calls
3 calls:
5.0ms
(/ (cbrt g) (cbrt (* 2 a)))
3.0ms
(cbrt (* 2 a))
1.0ms
(cbrt g)

series692.0ms

Counts
3 → 9
Calls
3 calls:
150.0ms
(/ (cbrt g) (cbrt (* 2 a)))
296.0ms
(cbrt (* 2 a))
246.0ms
(cbrt g)

simplify1.0s

Counts
78 → 78
Iterations
IterNodes
done2005
42005
31184
2448
1212
0126

prune768.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))
0.4b
(/ (cbrt (* 2 a)) (cbrt g))
0.5b
(cbrt (* 2 a))
0.6b
(cbrt g)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
111×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
98×cbrt-prod
34×associate-/r*
17×add-exp-log
8×div-exp
7×add-cbrt-cube associate-/l*
6×div-inv
5×pow1
4×cbrt-undiv insert-posit16 add-log-exp
2×rec-exp clear-num frac-2neg pow1/3 1-exp
1×associate-/r/ pow-flip inv-pow
Counts
4 → 206
Calls
4 calls:
14.0ms
(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))
10.0ms
(/ (cbrt (* 2 a)) (cbrt g))
3.0ms
(cbrt (* 2 a))
1.0ms
(cbrt g)

series902.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(/ 1 (/ (cbrt (* 2 a)) (cbrt g)))
157.0ms
(/ (cbrt (* 2 a)) (cbrt g))
310.0ms
(cbrt (* 2 a))
274.0ms
(cbrt g)

simplify1.2s

Counts
218 → 218
Iterations
IterNodes
done2003
32003
21430
1725
0301

prune1.8s

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (cbrt (* 2 a)))
0.4b
(* (/ 1 (cbrt (* 2 a))) (cbrt g))
0.5b
(cbrt (* 2 a))
0.6b
(cbrt g)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
26×*-un-lft-identity
24×add-cube-cbrt
17×cbrt-prod add-exp-log
16×associate-*l*
7×pow1 add-cbrt-cube
6×associate-*r* unswap-sqr
4×associate-/r* div-exp prod-exp insert-posit16 add-log-exp
3×pow1/3 associate-/l*
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv pow-flip
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 104
Calls
4 calls:
6.0ms
(/ 1 (cbrt (* 2 a)))
16.0ms
(* (/ 1 (cbrt (* 2 a))) (cbrt g))
4.0ms
(cbrt (* 2 a))
1.0ms
(cbrt g)

series970.0ms

Counts
4 → 12
Calls
4 calls:
361.0ms
(/ 1 (cbrt (* 2 a)))
147.0ms
(* (/ 1 (cbrt (* 2 a))) (cbrt g))
267.0ms
(cbrt (* 2 a))
195.0ms
(cbrt g)

simplify1.2s

Counts
116 → 116
Iterations
IterNodes
done2000
42000
31921
2818
1350
0160

prune988.0ms

Pruning

19 alts after pruning (16 fresh and 3 done)

Merged error: 0.0b

regimes673.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample818.0ms

Algorithm
intervals
Results
553.0ms8000×body80valid