Details

Time bar (total: 9.1s)

sample14.0ms

Algorithm
intervals
Results
3.0ms256×pre80true
3.0ms256×body80valid

simplify65.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
047
1117
2247
3407
4637
5797
6867
7887
done887

prune2.0ms

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))

rewrite19.0ms

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:
17.0ms
(* (+ a b) (+ a b))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* (+ a b) (+ a b))

simplify4.0s

Counts
43 → 43
Iterations

Useful iterations: 3 (446.0ms)

IterNodesCost
062516
1187453
2849407
34751361
done5000361

prune58.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
8×associate-*r*
6×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
4×associate-*r/
2×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
2 → 46
Calls
2 calls:
10.0ms
(* b (+ a b))
9.0ms
(* a (+ a b))

series56.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* b (+ a b))
27.0ms
(* a (+ a b))

simplify2.9s

Counts
52 → 52
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
068388
1201362
2886326
33824326
done5000326

prune80.0ms

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 b) (* a b))
0.0b
(+ (* a a) (- (* b b) (* a b)))
0.3b
(* (+ (pow a 3) (pow b 3)) (+ a b))
0.5b
(/ (* (+ (pow a 3) (pow b 3)) (+ a b)) (+ (* a a) (- (* b b) (* a b))))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
14×flip3-+ flip-+
11×add-exp-log add-cbrt-cube add-log-exp
10×add-sqr-sqrt
9×associate-*l*
8×frac-times add-cube-cbrt associate-/l/
6×pow1 distribute-lft-out
4×unpow-prod-down cube-prod associate-*r/ associate-*r* associate-*l/
3×times-frac associate-/r*
2×cbrt-undiv sub-neg associate-+r+ diff-log div-exp prod-exp sum-log associate-/r/ cbrt-unprod
1×+-commutative distribute-rgt-in associate-+r- flip3-- distribute-rgt-out-- frac-2neg distribute-lft-in pow-prod-down clear-num sum-cubes *-commutative flip-- div-inv associate-/l* unswap-sqr
Counts
4 → 94
Calls
4 calls:
4.0ms
(- (* b b) (* a b))
12.0ms
(+ (* a a) (- (* b b) (* a b)))
84.0ms
(* (+ (pow a 3) (pow b 3)) (+ a b))
33.0ms
(/ (* (+ (pow a 3) (pow b 3)) (+ a b)) (+ (* a a) (- (* b b) (* a b))))

series165.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (* b b) (* a b))
22.0ms
(+ (* a a) (- (* b b) (* a b)))
53.0ms
(* (+ (pow a 3) (pow b 3)) (+ a b))
56.0ms
(/ (* (+ (pow a 3) (pow b 3)) (+ a b)) (+ (* a a) (- (* b b) (* a b))))

simplify876.0ms

Counts
106 → 106
Iterations

Useful iterations: 2 (168.0ms)

IterNodesCost
01612156
15091858
226211656
done50011656

prune259.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

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
0611
11011
done1011

end0.0ms

sample330.0ms

Algorithm
intervals
Results
111.0ms8000×pre80true
97.0ms8000×body80valid