Details

Time bar (total: 12.9s)

sample32.0ms

Algorithm
intervals
Results
20.0ms371×body80valid

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done5001
111127
10442
9263
8200
7171
6154
5144
4137
388
234
113
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube prod-diff add-exp-log
5×distribute-rgt-in add-sqr-sqrt distribute-lft-in
4×*-un-lft-identity add-cube-cbrt
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative insert-posit16 log1p-expm1-u flip-- add-log-exp unswap-sqr
Counts
1 → 34
Calls
1 calls:
43.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series111.0ms

Counts
1 → 3
Calls
1 calls:
111.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify2.1s

Counts
37 → 37
Iterations
IterNodes
done5000
33864
2829
1229
078

prune104.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
7×*-un-lft-identity add-cube-cbrt
6×associate-*r* prod-diff
5×distribute-rgt-in distribute-lft-in
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
2×expm1-log1p-u sub-neg flip3-- associate-*l/ *-commutative insert-posit16 log1p-expm1-u flip-- add-log-exp
1×unswap-sqr
Counts
2 → 56
Calls
2 calls:
19.0ms
(* x (- 3.0 (* 2.0 x)))
28.0ms
(* (* x (- 3.0 (* 2.0 x))) x)

series222.0ms

Counts
2 → 6
Calls
2 calls:
118.0ms
(* x (- 3.0 (* 2.0 x)))
104.0ms
(* (* x (- 3.0 (* 2.0 x))) x)

simplify1.1s

Counts
62 → 62
Iterations
IterNodes
done5008
2842
1246
098

prune181.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x))))
0.2b
(* (/ (* x (- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x)))) (+ 3.0 (* 2.0 x))) x)
0.3b
(/ (* x (- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x)))) (+ 3.0 (* 2.0 x)))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
14×add-sqr-sqrt
12×associate-*l*
10×*-un-lft-identity add-cube-cbrt
7×pow1 associate-*r*
6×times-frac prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-*r/ associate-/r/
3×distribute-rgt-in expm1-log1p-u associate-/r* distribute-lft-in insert-posit16 log1p-expm1-u add-log-exp
2×sub-neg flip3-+ flip3-- prod-diff pow-prod-down *-commutative flip-+ div-inv flip-- unswap-sqr associate-/l/
1×clear-num frac-2neg associate-*l/ associate-/l* difference-of-squares
Counts
3 → 90
Calls
3 calls:
32.0ms
(* x (- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x))))
61.0ms
(* (/ (* x (- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x)))) (+ 3.0 (* 2.0 x))) x)
38.0ms
(/ (* x (- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x)))) (+ 3.0 (* 2.0 x)))

series574.0ms

Counts
3 → 9
Calls
3 calls:
111.0ms
(* x (- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x))))
226.0ms
(* (/ (* x (- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x)))) (+ 3.0 (* 2.0 x))) x)
237.0ms
(/ (* x (- (* 3.0 3.0) (* (* 2.0 x) (* 2.0 x)))) (+ 3.0 (* 2.0 x)))

simplify1.9s

Counts
99 → 99
Iterations
IterNodes
done5002
21796
1457
0156

prune346.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 3.0 (* 2.0 x)))
0.2b
(* (/ x (/ 1 (- 3.0 (* 2.0 x)))) x)
0.3b
(/ x (/ 1 (- 3.0 (* 2.0 x))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
167×times-frac
105×add-sqr-sqrt
94×*-un-lft-identity
93×add-cube-cbrt
50×associate-*l*
31×add-exp-log
19×add-cbrt-cube
18×associate-/r* associate-/r/
14×div-exp
10×div-inv
8×flip3-- flip--
7×cbrt-undiv
6×pow1 associate-/l*
5×prod-exp
4×unswap-sqr
3×expm1-log1p-u rec-exp 1-exp associate-*r* cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×pow-prod-down associate-*l/ *-commutative pow-flip inv-pow
Counts
3 → 197
Calls
3 calls:
9.0ms
(/ 1 (- 3.0 (* 2.0 x)))
39.0ms
(* (/ x (/ 1 (- 3.0 (* 2.0 x)))) x)
17.0ms
(/ x (/ 1 (- 3.0 (* 2.0 x))))

series252.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(/ 1 (- 3.0 (* 2.0 x)))
107.0ms
(* (/ x (/ 1 (- 3.0 (* 2.0 x)))) x)
87.0ms
(/ x (/ 1 (- 3.0 (* 2.0 x))))

simplify1.7s

Counts
206 → 206
Iterations
IterNodes
done5000
22132
1776
0279

prune614.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample655.0ms

Algorithm
intervals
Results
523.0ms11836×body80valid