Details

Time bar (total: 13.4s)

sample25.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ g (* 2 a))
17.4b
(cbrt (/ g (* 2 a)))

rewrite17.0ms

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:
11.0ms
(/ g (* 2 a))
5.0ms
(cbrt (/ g (* 2 a)))

series176.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ g (* 2 a))
148.0ms
(cbrt (/ g (* 2 a)))

simplify1.3s

Counts
45 → 45
Iterations
IterNodes
done5000
31551
2445
1175
091

prune200.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (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))

series719.0ms

Counts
3 → 9
Calls
3 calls:
143.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
277.0ms
(cbrt g)
300.0ms
(cbrt (/ 1/2 a))

simplify1.8s

Counts
86 → 86
Iterations
IterNodes
done5000
31579
2642
1253
0143

prune416.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (cbrt 1/2) a))
0.6b
(cbrt g)
1.0b
(cbrt (* (cbrt 1/2) (cbrt 1/2)))
1.0b
(* (cbrt 1/2) (cbrt 1/2))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
51×cbrt-prod
34×add-sqr-sqrt
26×*-un-lft-identity add-cube-cbrt
18×times-frac
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 cbrt-div pow-plus prod-exp *-commutative cbrt-unprod div-inv
Counts
4 → 95
Calls
4 calls:
1.0ms
(cbrt (/ (cbrt 1/2) a))
1.0ms
(cbrt g)
4.0ms
(cbrt (* (cbrt 1/2) (cbrt 1/2)))
8.0ms
(* (cbrt 1/2) (cbrt 1/2))

series664.0ms

Counts
4 → 8
Calls
4 calls:
411.0ms
(cbrt (/ (cbrt 1/2) a))
252.0ms
(cbrt g)
0.0ms
(cbrt (* (cbrt 1/2) (cbrt 1/2)))
0.0ms
(* (cbrt 1/2) (cbrt 1/2))

simplify2.4s

Counts
103 → 103
Iterations
IterNodes
done5018
43514
31311
2597
1273
0161

prune579.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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 g)
0.6b
(cbrt (/ 1 a))

rewrite59.0ms

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:
38.0ms
(* (* (cbrt g) (cbrt 1/2)) (cbrt (/ 1 a)))
15.0ms
(* (cbrt g) (cbrt 1/2))
1.0ms
(cbrt g)
3.0ms
(cbrt (/ 1 a))

series1.1s

Counts
4 → 12
Calls
4 calls:
149.0ms
(* (* (cbrt g) (cbrt 1/2)) (cbrt (/ 1 a)))
339.0ms
(* (cbrt g) (cbrt 1/2))
341.0ms
(cbrt g)
301.0ms
(cbrt (/ 1 a))

simplify2.3s

Counts
110 → 110
Iterations
IterNodes
done5007
32638
2863
1350
0167

prune464.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

regimes244.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample791.0ms

Algorithm
intervals
Results
586.0ms8000×body80valid