Details

Time bar (total: 6.7s)

sample14.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
3.0ms256×pre80true

simplify598.0ms

Counts
1 → 1
Iterations
IterNodes
done5001
5562
4131
343
226
113
04

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (* x x)) (* x x))
0.1b
(* x (* x x))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
7×add-cbrt-cube add-exp-log
5×pow-prod-up
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
1×pow2 +-commutative sum-log distribute-lft1-in flip3-+ pow-plus cube-unmult associate-*r* pow-sqr *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 37
Calls
2 calls:
20.0ms
(+ (* x (* x x)) (* x x))
15.0ms
(* x (* x x))

series117.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(+ (* x (* x x)) (* x x))
42.0ms
(* x (* x x))

simplify1.2s

Counts
43 → 43
Iterations
IterNodes
done5001
21417
1192
057

prune160.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x 1) (* x x))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
4×*-un-lft-identity associate-*l*
3×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ add-cube-cbrt
1×flip3-+ associate-*r* *-commutative flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
43.0ms
(* (+ x 1) (* x x))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(* (+ x 1) (* x x))

simplify759.0ms

Counts
25 → 25
Iterations
IterNodes
done5000
2877
1139
043

prune70.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (+ x (* x x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt associate-*r*
4×*-un-lft-identity
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ distribute-rgt-out pow-prod-down distribute-rgt1-in prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
17.0ms
(* x (+ x (* x x)))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(* x (+ x (* x x)))

simplify921.0ms

Counts
27 → 27
Iterations
IterNodes
done5002
21269
1164
044

prune85.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (* x x))
0.1b
(* x (* x x))
29.2b
(sqrt (+ (* x (* x x)) (* x x)))
29.2b
(sqrt (+ (* x (* x x)) (* x x)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1
14×add-cbrt-cube add-exp-log
12×add-sqr-sqrt
10×pow-prod-up sqrt-prod
8×*-un-lft-identity add-cube-cbrt
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×sqrt-div add-log-exp
2×pow2 rem-sqrt-square distribute-lft1-in sqrt-pow1 flip3-+ pow-plus pow1/2 cube-unmult associate-*r* pow-sqr *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
4 → 82
Calls
4 calls:
14.0ms
(* x (* x x))
13.0ms
(* x (* x x))
22.0ms
(sqrt (+ (* x (* x x)) (* x x)))
23.0ms
(sqrt (+ (* x (* x x)) (* x x)))

series195.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* x (* x x))
53.0ms
(* x (* x x))
45.0ms
(sqrt (+ (* x (* x x)) (* x x)))
50.0ms
(sqrt (+ (* x (* x x)) (* x x)))

simplify1.3s

Counts
94 → 94
Iterations
IterNodes
done5001
21503
1222
083

prune301.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
04

end0.0ms

sample524.0ms

Algorithm
intervals
Results
224.0ms8000×body80valid
152.0ms8000×pre80true