Details

Time bar (total: 56.2s)

sample34.0ms

Algorithm
intervals
Results
12.0ms375×body80valid

simplify4.9s

Counts
1 → 1
Iterations
IterNodes
done5001
111138
10457
9235
8169
7141
6124
5116
4109
380
234
113
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite57.0ms

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 insert-posit16 flip-- add-log-exp unswap-sqr
Counts
1 → 26
Calls
1 calls:
55.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series161.0ms

Counts
1 → 3
Calls
1 calls:
160.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify7.1s

Counts
29 → 29
Iterations
IterNodes
done5001
33309
2674
1184
058

prune293.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

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))))

rewrite100.0ms

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 insert-posit16 flip-- add-log-exp
1×unswap-sqr
Counts
2 → 54
Calls
2 calls:
30.0ms
(* x (- 3.0 (* x 2.0)))
64.0ms
(* x (* x (- 3.0 (* x 2.0))))

series247.0ms

Counts
2 → 6
Calls
2 calls:
117.0ms
(* x (- 3.0 (* x 2.0)))
130.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify8.4s

Counts
60 → 60
Iterations
IterNodes
done5000
34649
2785
1218
081

prune429.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- 3.0 (* x 2.0)))
0.1b
(cbrt (- 3.0 (* x 2.0)))
0.2b
(* x (* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0)))))
0.4b
(* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
112×cbrt-div
90×associate-*r/
56×frac-times flip3-- flip--
28×associate-*l/
27×pow1 add-exp-log
17×add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×associate-*r*
4×associate-*l* insert-posit16 add-log-exp
2×pow1/3 *-commutative
Counts
4 → 130
Calls
4 calls:
5.0ms
(cbrt (- 3.0 (* x 2.0)))
5.0ms
(cbrt (- 3.0 (* x 2.0)))
737.0ms
(* x (* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0)))))
255.0ms
(* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

series538.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(cbrt (- 3.0 (* x 2.0)))
158.0ms
(cbrt (- 3.0 (* x 2.0)))
123.0ms
(* x (* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0)))))
95.0ms
(* (* x (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

simplify4.5s

Counts
142 → 142
Iterations
IterNodes
done5004
22084
1652
0240

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize119.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- 3.0 (* x 2.0)))
0.2b
(* x (* (* (cbrt (- 3.0 (* x 2.0))) (cbrt (cbrt (- 3.0 (* x 2.0))))) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (cbrt (- 3.0 (* x 2.0)))))))
0.2b
(* x (* (* x (* (* (cbrt (- 3.0 (* x 2.0))) (cbrt (cbrt (- 3.0 (* x 2.0))))) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (cbrt (- 3.0 (* x 2.0))))))) (cbrt (cbrt (- 3.0 (* x 2.0))))))
0.3b
(* (* x (* (* (cbrt (- 3.0 (* x 2.0))) (cbrt (cbrt (- 3.0 (* x 2.0))))) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (cbrt (- 3.0 (* x 2.0))))))) (cbrt (cbrt (- 3.0 (* x 2.0)))))

rewrite8.0s

Algorithm
rewrite-expression-head
Rules
2918×cbrt-div
1272×frac-times
1114×associate-*r/
919×flip3-- flip--
468×associate-*l/
80×pow1 add-exp-log
58×pow-prod-down prod-exp cbrt-unprod
44×add-cbrt-cube
12×cbrt-prod
11×add-sqr-sqrt associate-*r*
10×*-un-lft-identity add-cube-cbrt
7×associate-*l*
4×insert-posit16 add-log-exp
3×*-commutative
1×pow1/3 unswap-sqr
Counts
4 → 678
Calls
4 calls:
5.0ms
(cbrt (- 3.0 (* x 2.0)))
669.0ms
(* x (* (* (cbrt (- 3.0 (* x 2.0))) (cbrt (cbrt (- 3.0 (* x 2.0))))) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (cbrt (- 3.0 (* x 2.0)))))))
5.2s
(* x (* (* x (* (* (cbrt (- 3.0 (* x 2.0))) (cbrt (cbrt (- 3.0 (* x 2.0))))) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (cbrt (- 3.0 (* x 2.0))))))) (cbrt (cbrt (- 3.0 (* x 2.0))))))
1.7s
(* (* x (* (* (cbrt (- 3.0 (* x 2.0))) (cbrt (cbrt (- 3.0 (* x 2.0))))) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (cbrt (- 3.0 (* x 2.0))))))) (cbrt (cbrt (- 3.0 (* x 2.0)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
233.0ms
(cbrt (- 3.0 (* x 2.0)))
500.0ms
(* x (* (* (cbrt (- 3.0 (* x 2.0))) (cbrt (cbrt (- 3.0 (* x 2.0))))) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (cbrt (- 3.0 (* x 2.0)))))))
146.0ms
(* x (* (* x (* (* (cbrt (- 3.0 (* x 2.0))) (cbrt (cbrt (- 3.0 (* x 2.0))))) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (cbrt (- 3.0 (* x 2.0))))))) (cbrt (cbrt (- 3.0 (* x 2.0))))))
162.0ms
(* (* x (* (* (cbrt (- 3.0 (* x 2.0))) (cbrt (cbrt (- 3.0 (* x 2.0))))) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (cbrt (- 3.0 (* x 2.0))))))) (cbrt (cbrt (- 3.0 (* x 2.0)))))

simplify8.0s

Counts
690 → 690
Iterations
IterNodes
done5000
13247
01107

prune9.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample659.0ms

Algorithm
intervals
Results
438.0ms12013×body80valid