Details

Time bar (total: 11.0s)

sample32.0ms

Algorithm
intervals
Results
20.0ms256×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: 16.9b

localize16.0ms

Local error

Found 1 expressions with local error:

16.9b
(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:
6.0ms
(cbrt (/ g (* 2 a)))

series157.0ms

Counts
1 → 3
Calls
1 calls:
157.0ms
(cbrt (/ g (* 2 a)))

simplify938.0ms

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

prune145.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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:
10.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
1.0ms
(cbrt (/ 1/2 a))
1.0ms
(cbrt g)

series775.0ms

Counts
3 → 9
Calls
3 calls:
174.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
310.0ms
(cbrt (/ 1/2 a))
291.0ms
(cbrt g)

simplify1.2s

Counts
86 → 86
Iterations
IterNodes
done2022
42022
31537
2633
1253
0143

prune407.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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:
11.0ms
(/ (cbrt g) (cbrt (* 2 a)))
4.0ms
(cbrt (* 2 a))
1.0ms
(cbrt g)

series720.0ms

Counts
3 → 9
Calls
3 calls:
189.0ms
(/ (cbrt g) (cbrt (* 2 a)))
287.0ms
(cbrt (* 2 a))
243.0ms
(cbrt g)

simplify1.2s

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

prune326.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
32×add-sqr-sqrt
24×*-un-lft-identity add-cube-cbrt
22×associate-*r*
18×times-frac
11×pow1 add-exp-log
7×pow1/3 associate-*l* pow-prod-down
5×add-cbrt-cube
4×prod-exp cbrt-unprod insert-posit16 add-log-exp unswap-sqr
2×cbrt-div *-commutative div-inv
1×associate-*r/
Counts
4 → 98
Calls
4 calls:
32.0ms
(* (* (cbrt g) (cbrt 1/2)) (cbrt (/ 1 a)))
7.0ms
(* (cbrt g) (cbrt 1/2))
5.0ms
(cbrt (/ 1 a))
1.0ms
(cbrt g)

series1.2s

Counts
4 → 12
Calls
4 calls:
188.0ms
(* (* (cbrt g) (cbrt 1/2)) (cbrt (/ 1 a)))
381.0ms
(* (cbrt g) (cbrt 1/2))
329.0ms
(cbrt (/ 1 a))
338.0ms
(cbrt g)

simplify1.7s

Counts
110 → 110
Iterations
IterNodes
done2007
32007
2971
1350
0167

prune567.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0b

regimes547.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample858.0ms

Algorithm
intervals
Results
652.0ms8000×body80valid