Details

Time bar (total: 10.8s)

sample18.0ms

Algorithm
intervals
Results
9.0ms404×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5001
91285
8444
7215
6145
5126
4121
382
235
113
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite26.0ms

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×distribute-rgt-in sub-neg *-un-lft-identity distribute-lft-in associate-*r/ add-cube-cbrt
1×flip3-- associate-*l* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
25.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series99.0ms

Counts
1 → 3
Calls
1 calls:
99.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify1.2s

Counts
28 → 28
Iterations
IterNodes
done5000
21243
1180
057

prune129.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* x x) 3.0) (* (* x x) (- (* x 2.0))))
0.1b
(* (* x x) (- (* x 2.0)))
0.2b
(* (* x x) 3.0)

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-cbrt-cube add-exp-log
9×associate-*r*
7×add-sqr-sqrt
6×pow-prod-down prod-exp cbrt-unprod
5×*-un-lft-identity add-cube-cbrt add-log-exp
3×distribute-rgt-neg-out
2×associate-*l* *-commutative unswap-sqr
1×distribute-lft-neg-in +-commutative neg-mul-1 sum-log distribute-rgt-neg-in flip3-+ unsub-neg flip-+ distribute-lft-out
Counts
3 → 56
Calls
3 calls:
26.0ms
(+ (* (* x x) 3.0) (* (* x x) (- (* x 2.0))))
27.0ms
(* (* x x) (- (* x 2.0)))
22.0ms
(* (* x x) 3.0)

series237.0ms

Counts
3 → 9
Calls
3 calls:
138.0ms
(+ (* (* x x) 3.0) (* (* x x) (- (* x 2.0))))
58.0ms
(* (* x x) (- (* x 2.0)))
41.0ms
(* (* x x) 3.0)

simplify1.4s

Counts
65 → 65
Iterations
IterNodes
done5000
21955
1282
091

prune251.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- 3.0 (* x 2.0)))
0.2b
(* x (* x (- 3.0 (* x 2.0))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-cbrt-cube add-exp-log
7×add-sqr-sqrt
6×sub-neg associate-*l* associate-*r/
5×*-un-lft-identity add-cube-cbrt
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×unswap-sqr
Counts
2 → 52
Calls
2 calls:
17.0ms
(* x (- 3.0 (* x 2.0)))
43.0ms
(* x (* x (- 3.0 (* x 2.0))))

series228.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(* x (- 3.0 (* x 2.0)))
129.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify1.3s

Counts
58 → 58
Iterations
IterNodes
done5001
21261
1230
079

prune219.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(* (cbrt x) (cbrt x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
17.0ms
(* (cbrt x) (cbrt x))

series1.1s

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt x)
256.0ms
(cbrt x)
239.0ms
(cbrt x)
298.0ms
(* (cbrt x) (cbrt x))

simplify1.2s

Counts
85 → 85
Iterations
IterNodes
done5001
2723
1138
061

prune402.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes38.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample783.0ms

Algorithm
intervals
Results
575.0ms11977×body80valid