Details

Time bar (total: 8.0s)

sample35.0ms

Algorithm
intervals
Results
12.0ms256×pre80true
12.0ms256×body80valid

simplify69.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
pow1
add-sqr-sqrt
flip3-+ swap-sqr flip-+ distribute-lft-out
add-cube-cbrt
frac-times associate-*r* associate-*l*
add-cbrt-cube add-exp-log
associate-*l/ associate-*r/
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:
40.0ms
(* (+ a b) (+ a b))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(* (+ a b) (+ a b))

simplify920.0ms

Counts
44 → 44
Iterations
IterNodes
done2004
32004
2797
1225
063

prune272.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
16×add-log-exp
sum-log
add-sqr-sqrt pow1 +-commutative associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
distribute-rgt-out distribute-lft-out
Counts
2 → 30
Calls
2 calls:
40.0ms
(+ (* a a) (+ (* b b) (+ (* a b) (* a b))))
18.0ms
(+ (* b b) (+ (* a b) (* a b)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* a a) (+ (* b b) (+ (* a b) (* a b))))
52.0ms
(+ (* b b) (+ (* a b) (* a b)))

simplify972.0ms

Counts
36 → 36
Iterations
IterNodes
done2002
32002
21057
1215
064

prune245.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* b b) (+ (* a b) (* a b)))
0.3b
(* (* (+ (* a a) (+ (* b b) (+ (* a b) (* a b)))) (+ (* a a) (+ (* b b) (+ (* a b) (* a b))))) (+ (* a a) (+ (* b b) (+ (* a b) (* a b)))))
0.5b
(* (+ (* a a) (+ (* b b) (+ (* a b) (* a b)))) (+ (* a a) (+ (* b b) (+ (* a b) (* a b)))))
0.5b
(cbrt (* (* (+ (* a a) (+ (* b b) (+ (* a b) (* a b)))) (+ (* a a) (+ (* b b) (+ (* a b) (* a b))))) (+ (* a a) (+ (* b b) (+ (* a b) (* a b))))))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
61×flip3-+ flip-+
60×frac-times
30×pow1 associate-*l/
26×cbrt-div
18×associate-*r/
12×add-sqr-sqrt
11×add-cbrt-cube add-exp-log
*-un-lft-identity add-cube-cbrt add-log-exp
pow-plus pow-prod-up
associate-*r*
associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16
pow2 sum-log swap-sqr pow-sqr
distribute-rgt-in distribute-lft-in pow3 *-commutative unswap-sqr
cbrt-prod +-commutative associate-+r+ distribute-rgt-out pow1/3 rem-cbrt-cube distribute-lft-out
Counts
4 → 145
Calls
4 calls:
15.0ms
(+ (* b b) (+ (* a b) (* a b)))
578.0ms
(* (* (+ (* a a) (+ (* b b) (+ (* a b) (* a b)))) (+ (* a a) (+ (* b b) (+ (* a b) (* a b))))) (+ (* a a) (+ (* b b) (+ (* a b) (* a b)))))
337.0ms
(* (+ (* a a) (+ (* b b) (+ (* a b) (* a b)))) (+ (* a a) (+ (* b b) (+ (* a b) (* a b)))))
417.0ms
(cbrt (* (* (+ (* a a) (+ (* b b) (+ (* a b) (* a b)))) (+ (* a a) (+ (* b b) (+ (* a b) (* a b))))) (+ (* a a) (+ (* b b) (+ (* a b) (* a b))))))

series313.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(+ (* b b) (+ (* a b) (* a b)))
158.0ms
(* (* (+ (* a a) (+ (* b b) (+ (* a b) (* a b)))) (+ (* a a) (+ (* b b) (+ (* a b) (* a b))))) (+ (* a a) (+ (* b b) (+ (* a b) (* a b)))))
66.0ms
(* (+ (* a a) (+ (* b b) (+ (* a b) (* a b)))) (+ (* a a) (+ (* b b) (+ (* a b) (* a b)))))
27.0ms
(cbrt (* (* (+ (* a a) (+ (* b b) (+ (* a b) (* a b)))) (+ (* a a) (+ (* b b) (+ (* a b) (* a b))))) (+ (* a a) (+ (* b b) (+ (* a b) (* a b))))))

simplify1.2s

Counts
157 → 157
Iterations
IterNodes
done2001
22001
1817
0229

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes61.0ms

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
done11
111
08

end0.0ms

sample830.0ms

Algorithm
intervals
Results
347.0ms8000×pre80true
320.0ms8000×body80valid