Details

Time bar (total: 18.0s)

sample45.0ms

Algorithm
intervals
Results
32.0ms376×body80valid

simplify2.8s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

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:
23.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify1.8s

Counts
29 → 29
Iterations
IterNodes
done5005
32999
2625
1171
058

prune82.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:
13.0ms
(* x (- 3.0 (* x 2.0)))
22.0ms
(* x (* x (- 3.0 (* x 2.0))))

series174.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(* x (- 3.0 (* x 2.0)))
81.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify2.7s

Counts
60 → 60
Iterations
IterNodes
done5001
34895
2854
1231
081

prune204.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* x (* x (- 3.0 (* x 2.0))))) (cbrt (* x (* x (- 3.0 (* x 2.0))))))
22.0b
(cbrt (* x (* x (- 3.0 (* x 2.0)))))
22.0b
(cbrt (* x (* x (- 3.0 (* x 2.0)))))
22.0b
(cbrt (* x (* x (- 3.0 (* x 2.0)))))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
38×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 76
Calls
4 calls:
53.0ms
(* (cbrt (* x (* x (- 3.0 (* x 2.0))))) (cbrt (* x (* x (- 3.0 (* x 2.0))))))
19.0ms
(cbrt (* x (* x (- 3.0 (* x 2.0)))))
19.0ms
(cbrt (* x (* x (- 3.0 (* x 2.0)))))
17.0ms
(cbrt (* x (* x (- 3.0 (* x 2.0)))))

series702.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(* (cbrt (* x (* x (- 3.0 (* x 2.0))))) (cbrt (* x (* x (- 3.0 (* x 2.0))))))
174.0ms
(cbrt (* x (* x (- 3.0 (* x 2.0)))))
173.0ms
(cbrt (* x (* x (- 3.0 (* x 2.0)))))
138.0ms
(cbrt (* x (* x (- 3.0 (* x 2.0)))))

simplify2.8s

Counts
88 → 88
Iterations
IterNodes
done5044
34258
21263
1481
0193

prune521.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (- (* (* 3.0 3.0) 3.0) (* (* x 2.0) (* (* x 2.0) (* x 2.0)))))
0.1b
(* (* x 2.0) (* (* x 2.0) (* x 2.0)))
0.2b
(* (* x (- (* (* 3.0 3.0) 3.0) (* (* x 2.0) (* (* x 2.0) (* x 2.0))))) x)
4.6b
(/ (* (* x (- (* (* 3.0 3.0) 3.0) (* (* x 2.0) (* (* x 2.0) (* x 2.0))))) x) (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
139×pow1
64×pow-prod-down
61×add-cbrt-cube add-exp-log
38×prod-exp cbrt-unprod
30×pow-prod-up
11×add-sqr-sqrt
9×*-un-lft-identity add-cube-cbrt
8×associate-*r* pow-sqr
6×associate-*r/
5×associate-*l*
4×pow-plus associate-*l/ insert-posit16 add-log-exp
3×cbrt-undiv associate-/r* times-frac flip3-- div-exp *-commutative flip--
2×pow2 distribute-rgt-in sub-neg distribute-lft-in cube-unmult associate-/r/ associate-/l/
1×difference-cubes clear-num frac-2neg flip3-+ pow3 flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 139
Calls
4 calls:
270.0ms
(* x (- (* (* 3.0 3.0) 3.0) (* (* x 2.0) (* (* x 2.0) (* x 2.0)))))
109.0ms
(* (* x 2.0) (* (* x 2.0) (* x 2.0)))
368.0ms
(* (* x (- (* (* 3.0 3.0) 3.0) (* (* x 2.0) (* (* x 2.0) (* x 2.0))))) x)
417.0ms
(/ (* (* x (- (* (* 3.0 3.0) 3.0) (* (* x 2.0) (* (* x 2.0) (* x 2.0))))) x) (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))))

series861.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(* x (- (* (* 3.0 3.0) 3.0) (* (* x 2.0) (* (* x 2.0) (* x 2.0)))))
50.0ms
(* (* x 2.0) (* (* x 2.0) (* x 2.0)))
210.0ms
(* (* x (- (* (* 3.0 3.0) 3.0) (* (* x 2.0) (* (* x 2.0) (* x 2.0))))) x)
350.0ms
(/ (* (* x (- (* (* 3.0 3.0) 3.0) (* (* x 2.0) (* (* x 2.0) (* x 2.0))))) x) (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))))

simplify2.5s

Counts
151 → 151
Iterations
IterNodes
done5006
22573
1601
0195

prune482.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes76.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample878.0ms

Algorithm
intervals
Results
745.0ms11783×body80valid