Details

Time bar (total: 6.7s)

sample26.0ms

Algorithm
intervals
Results
10.0ms336×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
16
04

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
27.0ms
(* (* x 3.0) x)

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(* (* x 3.0) x)

simplify790.0ms

Counts
23 → 23
Iterations
IterNodes
done5000
2711
1101
039

prune107.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 3.0) x)
0.4b
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
18.7b
(sqrt (* (* x 3.0) x))
18.7b
(sqrt (* (* x 3.0) x))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-sqr-sqrt add-cbrt-cube add-exp-log pow-sqr
9×*-un-lft-identity add-cube-cbrt
7×associate-*r*
6×sqrt-prod
5×associate-*l*
4×expm1-log1p-u swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative
1×pow2 rem-square-sqrt pow-plus sqrt-unprod unswap-sqr
Counts
4 → 116
Calls
4 calls:
15.0ms
(* (* x 3.0) x)
120.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
11.0ms
(sqrt (* (* x 3.0) x))
11.0ms
(sqrt (* (* x 3.0) x))

series255.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (* x 3.0) x)
105.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
52.0ms
(sqrt (* (* x 3.0) x))
48.0ms
(sqrt (* (* x 3.0) x))

simplify1.5s

Counts
128 → 128
Iterations
IterNodes
done5000
21543
1219
088

prune512.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) 3.0)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×*-un-lft-identity add-cube-cbrt
1×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
18.0ms
(* (* x x) 3.0)

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(* (* x x) 3.0)

simplify863.0ms

Counts
24 → 24
Iterations
IterNodes
done5000
2736
1106
039

prune150.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
0.4b
(* x (sqrt 3.0))
0.4b
(* x (sqrt 3.0))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
46×pow1
19×add-cbrt-cube pow-prod-down add-exp-log
17×add-sqr-sqrt
13×associate-*r*
10×prod-exp cbrt-unprod
9×*-un-lft-identity add-cube-cbrt
8×sqrt-prod
7×associate-*l*
4×pow-sqr pow-prod-up unswap-sqr
3×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×pow-plus
1×pow2 swap-sqr
Counts
3 → 84
Calls
3 calls:
59.0ms
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
14.0ms
(* x (sqrt 3.0))
14.0ms
(* x (sqrt 3.0))

series221.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
57.0ms
(* x (sqrt 3.0))
55.0ms
(* x (sqrt 3.0))

simplify892.0ms

Counts
93 → 93
Iterations
IterNodes
done5001
2687
1153
064

prune248.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes134.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
04

end0.0ms

sample567.0ms

Algorithm
intervals
Results
301.0ms10625×body80valid