Details

Time bar (total: 13.8s)

sample29.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
06

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.7b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ g (* 2 a))
17.5b
(cbrt (/ g (* 2 a)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
7×cbrt-prod add-cbrt-cube add-exp-log
6×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/l*
2×pow1 cbrt-undiv div-exp insert-posit16 div-inv add-log-exp
1×cbrt-div clear-num associate-/r* frac-2neg pow1/3 prod-exp cbrt-unprod
Counts
2 → 39
Calls
2 calls:
14.0ms
(/ g (* 2 a))
9.0ms
(cbrt (/ g (* 2 a)))

series181.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ g (* 2 a))
149.0ms
(cbrt (/ g (* 2 a)))

simplify1.6s

Counts
45 → 45
Iterations
IterNodes
done5000
31551
2445
1175
091

prune184.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

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:
30.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
3.0ms
(cbrt (/ 1/2 a))
1.0ms
(cbrt g)

series842.0ms

Counts
3 → 9
Calls
3 calls:
165.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
345.0ms
(cbrt (/ 1/2 a))
331.0ms
(cbrt g)

simplify1.8s

Counts
86 → 86
Iterations
IterNodes
done5001
31537
2633
1253
0143

prune491.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
35×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
20×times-frac
16×associate-*l*
6×associate-*r* 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×associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
3 → 77
Calls
3 calls:
18.0ms
(* (cbrt (/ 1/2 a)) (cbrt g))
4.0ms
(cbrt (/ 1/2 a))
2.0ms
(cbrt g)

series854.0ms

Counts
3 → 9
Calls
3 calls:
133.0ms
(* (cbrt (/ 1/2 a)) (cbrt g))
382.0ms
(cbrt (/ 1/2 a))
338.0ms
(cbrt g)

simplify2.7s

Counts
86 → 86
Iterations
IterNodes
done5003
44330
31403
2640
1256
0143

prune380.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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:
6.0ms
(/ (sqrt 1/2) a)
3.0ms
(cbrt (/ (sqrt 1/2) a))
1.0ms
(cbrt g)
2.0ms
(cbrt (sqrt 1/2))

series1.1s

Counts
4 → 10
Calls
4 calls:
73.0ms
(/ (sqrt 1/2) a)
789.0ms
(cbrt (/ (sqrt 1/2) a))
257.0ms
(cbrt g)
0.0ms
(cbrt (sqrt 1/2))

simplify2.0s

Counts
109 → 109
Iterations
IterNodes
done5010
42891
3946
2441
1241
0151

prune527.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

regimes343.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done17
117
012

end0.0ms

sample602.0ms

Algorithm
intervals
Results
437.0ms8000×body80valid