Details

Time bar (total: 6.3s)

sample15.0ms

Algorithm
intervals
Results
3.0ms256×pre80true
3.0ms256×body80valid

simplify82.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1117
2257
3537
4727
5887
6977
71037
done1037

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

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-exp-log add-cbrt-cube
2×associate-*r/ associate-*l/
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 40
Calls
1 calls:
32.0ms
(* (+ a b) (+ a b))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(* (+ a b) (+ a b))

simplify1.9s

Counts
43 → 43
Iterations

Useful iterations: done (1.9s)

IterNodesCost
062516
1188453
2742407
33324376
done5001373

prune53.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* b (+ (* 2 a) b)) (* a a))
0.0b
(* b (+ (* 2 a) b))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
15.0ms
(+ (* b (+ (* 2 a) b)) (* a a))
26.0ms
(* b (+ (* 2 a) b))

series58.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (* b (+ (* 2 a) b)) (* a a))
35.0ms
(* b (+ (* 2 a) b))

simplify1.7s

Counts
41 → 41
Iterations

Useful iterations: 3 (730.0ms)

IterNodesCost
070523
1217485
2738445
33344437
done5001437

prune72.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* b (+ (* 2 a) b))
0.0b
(- (* b (+ (* 2 a) b)) (* a a))
0.3b
(* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b)))
0.5b
(/ (- (* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b))) (pow a 4)) (- (* b (+ (* 2 a) b)) (* a a)))

rewrite321.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
27×add-sqr-sqrt
20×add-exp-log add-cbrt-cube
18×times-frac pow-prod-down
17×add-cube-cbrt *-un-lft-identity
16×associate-*r/
12×difference-of-squares
9×prod-exp cbrt-unprod
7×flip3-+ flip-+
6×distribute-rgt-in distribute-lft-in associate-/l* add-log-exp
4×frac-times unpow-prod-down associate-*r* associate-*l* pow-sqr pow-prod-up sqr-pow
3×flip3-- associate-/r* flip--
2×pow-plus associate-*l/ associate--l+ associate-/r/ *-commutative associate-/l/
1×cbrt-undiv pow2 sub-neg frac-2neg diff-log div-sub swap-sqr div-exp clear-num div-inv unswap-sqr
Counts
4 → 126
Calls
4 calls:
25.0ms
(* b (+ (* 2 a) b))
18.0ms
(- (* b (+ (* 2 a) b)) (* a a))
70.0ms
(* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b)))
203.0ms
(/ (- (* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b))) (pow a 4)) (- (* b (+ (* 2 a) b)) (* a a)))

series160.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* b (+ (* 2 a) b))
25.0ms
(- (* b (+ (* 2 a) b)) (* a a))
28.0ms
(* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b)))
69.0ms
(/ (- (* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b))) (pow a 4)) (- (* b (+ (* 2 a) b)) (* a a)))

simplify1.1s

Counts
138 → 138
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02053618
15973311
224243043
done50002684

prune272.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11211
done1211

end0.0ms

sample390.0ms

Algorithm
intervals
Results
111.0ms8000×body80valid
105.0ms8000×pre80true