Details

Time bar (total: 26.8s)

sample44.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
7.0ms256×pre80true

simplify267.0ms

Counts
1 → 1
Iterations
IterNodes
done103
7103
697
588
472
353
225
111
04

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ a b) (+ a b))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-cbrt-cube add-exp-log
2×associate-*l/ associate-*r/
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod insert-posit16 add-log-exp unswap-sqr
Counts
1 → 41
Calls
1 calls:
95.0ms
(* (+ a b) (+ a b))

series38.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* (+ a b) (+ a b))

simplify6.8s

Counts
44 → 44
Iterations
IterNodes
done5000
34024
2801
1225
063

prune360.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ a b) a)
0.0b
(+ (* (+ a b) a) (* (+ a b) b))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l/
6×add-sqr-sqrt *-un-lft-identity flip3-+ flip-+
4×pow1 add-cbrt-cube associate-*l* frac-add add-exp-log add-cube-cbrt add-log-exp
3×associate-*r*
2×insert-posit16 distribute-lft-out
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
56.0ms
(* (+ a b) a)
46.0ms
(+ (* (+ a b) a) (* (+ a b) b))

series121.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* (+ a b) a)
62.0ms
(+ (* (+ a b) a) (* (+ a b) b))

simplify2.2s

Counts
45 → 45
Iterations
IterNodes
done5002
21056
1277
090

prune517.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize197.0ms

Local error

Found 4 expressions with local error:

0.2b
(* a (* a a))
0.3b
(* (* (+ a b) (- a b)) (* a (+ (- (* b b) (* a b)) (* a a))))
0.4b
(* (* (- a b) b) (+ (* b (* b b)) (* a (* a a))))
0.4b
(/ (+ (* (* (- a b) b) (+ (* b (* b b)) (* a (* a a)))) (* (* (+ a b) (- a b)) (* a (+ (- (* b b) (* a b)) (* a a))))) (* (- a b) (+ (* a a) (- (* b b) (* a b)))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
364×frac-times
344×associate-*l/
290×associate-*r/
247×flip3-+ flip-+
210×associate-/l/
208×frac-add
165×flip3-- flip--
35×pow1
31×add-cbrt-cube add-exp-log
15×prod-exp cbrt-unprod
14×pow-prod-down
9×add-sqr-sqrt
8×*-un-lft-identity associate-/r/ add-cube-cbrt
6×associate-*r*
5×distribute-rgt-in distribute-lft-in associate-*l* pow-prod-up
4×insert-posit16 add-log-exp
3×times-frac cube-unmult *-commutative associate-/l*
2×cbrt-undiv div-exp
1×pow2 clear-num associate-/r* frac-2neg pow-plus pow-sqr sum-cubes div-inv unswap-sqr
Counts
4 → 348
Calls
4 calls:
28.0ms
(* a (* a a))
269.0ms
(* (* (+ a b) (- a b)) (* a (+ (- (* b b) (* a b)) (* a a))))
169.0ms
(* (* (- a b) b) (+ (* b (* b b)) (* a (* a a))))
642.0ms
(/ (+ (* (* (- a b) b) (+ (* b (* b b)) (* a (* a a)))) (* (* (+ a b) (- a b)) (* a (+ (- (* b b) (* a b)) (* a a))))) (* (- a b) (+ (* a a) (- (* b b) (* a b)))))

series631.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* a (* a a))
223.0ms
(* (* (+ a b) (- a b)) (* a (+ (- (* b b) (* a b)) (* a a))))
149.0ms
(* (* (- a b) b) (+ (* b (* b b)) (* a (* a a))))
205.0ms
(/ (+ (* (* (- a b) b) (+ (* b (* b b)) (* a (* a a)))) (* (* (+ a b) (- a b)) (* a (+ (- (* b b) (* a b)) (* a a))))) (* (- a b) (+ (* a a) (- (* b b) (* a b)))))

simplify5.9s

Counts
360 → 360
Iterations
IterNodes
done5006
12995
0725

prune6.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes488.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done5
15
04

end0.0ms

sample789.0ms

Algorithm
intervals
Results
221.0ms8000×body80valid
215.0ms8000×pre80true