Details

Time bar (total: 9.9s)

sample34.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize17.0ms

Local error

Found 1 expressions with local error:

14.9b
(cbrt (/ g (* 2 a)))

rewrite7.0ms

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:
7.0ms
(cbrt (/ g (* 2 a)))

series134.0ms

Counts
1 → 3
Calls
1 calls:
134.0ms
(cbrt (/ g (* 2 a)))

simplify755.0ms

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

prune81.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
35×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
20×times-frac
16×associate-*r*
6×associate-*l* unswap-sqr
5×pow1 add-exp-log
4×pow1/3
3×add-cbrt-cube insert-posit16 add-log-exp
2×cbrt-div pow-prod-down div-inv
1×prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
3 → 77
Calls
3 calls:
12.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
1.0ms
(cbrt g)
1.0ms
(cbrt (/ 1/2 a))

series954.0ms

Counts
3 → 9
Calls
3 calls:
164.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
250.0ms
(cbrt g)
540.0ms
(cbrt (/ 1/2 a))

simplify1.2s

Counts
86 → 86
Iterations
IterNodes
done2029
42029
31579
2642
1253
0143

prune398.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
38×add-sqr-sqrt
24×*-un-lft-identity add-cube-cbrt
20×times-frac
17×associate-*r*
12×associate-*l*
11×pow1 add-exp-log
7×pow1/3 pow-prod-down
6×unswap-sqr
5×add-cbrt-cube
4×prod-exp cbrt-unprod insert-posit16 add-log-exp
3×cbrt-div associate-*r/
2×*-commutative div-inv
Counts
4 → 101
Calls
4 calls:
22.0ms
(* (cbrt g) (* (cbrt -1/2) (cbrt (/ -1 a))))
15.0ms
(* (cbrt -1/2) (cbrt (/ -1 a)))
2.0ms
(cbrt (/ -1 a))
1.0ms
(cbrt g)

series1.1s

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt g) (* (cbrt -1/2) (cbrt (/ -1 a))))
385.0ms
(* (cbrt -1/2) (cbrt (/ -1 a)))
246.0ms
(cbrt (/ -1 a))
270.0ms
(cbrt g)

simplify1.3s

Counts
113 → 113
Iterations
IterNodes
done2007
32007
2924
1325
0166

prune542.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (sqrt 1/2) a)
0.6b
(cbrt g)
0.6b
(cbrt (/ (sqrt 1/2) a))
1.0b
(cbrt (sqrt 1/2))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
31×cbrt-prod
24×sqrt-prod
6×add-cbrt-cube add-exp-log associate-/l*
4×pow1 insert-posit16 add-log-exp
3×associate-/r* pow1/3
2×div-inv
1×cbrt-undiv cbrt-div clear-num frac-2neg div-exp
Counts
4 → 99
Calls
4 calls:
5.0ms
(/ (sqrt 1/2) a)
1.0ms
(cbrt g)
2.0ms
(cbrt (/ (sqrt 1/2) a))
1.0ms
(cbrt (sqrt 1/2))

series769.0ms

Counts
4 → 10
Calls
4 calls:
89.0ms
(/ (sqrt 1/2) a)
309.0ms
(cbrt g)
370.0ms
(cbrt (/ (sqrt 1/2) a))
0.0ms
(cbrt (sqrt 1/2))

simplify966.0ms

Counts
109 → 109
Iterations
IterNodes
done2007
42007
3958
2448
1241
0151

prune539.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes291.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample719.0ms

Algorithm
intervals
Results
547.0ms8000×body80valid