Details

Time bar (total: 5.0s)

sample15.0ms

Algorithm
intervals
Results
3.0ms256×pre80true
3.0ms256×body80valid

simplify61.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
047
1117
2247
3407
4597
5757
6827
7847
done847

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))

rewrite18.0ms

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:
16.0ms
(* (+ a b) (+ a b))

series16.0ms

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

simplify2.5s

Counts
43 → 43
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
062516
1185453
2729407
33854376
done5000376

prune62.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r/
11×add-sqr-sqrt *-un-lft-identity
8×associate-*r*
7×pow1 add-exp-log add-cube-cbrt flip3-+ add-cbrt-cube flip-+
6×associate-*l*
5×add-log-exp
4×distribute-rgt-in distribute-lft-in frac-add
2×associate-+l+ associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×+-commutative distribute-rgt-out sum-log
Counts
3 → 66
Calls
3 calls:
10.0ms
(* b (+ a b))
12.0ms
(* a (+ a b))
6.0ms
(+ (* a (+ a b)) (* b (+ a b)))

series82.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(* b (+ a b))
28.0ms
(* a (+ a b))
24.0ms
(+ (* a (+ a b)) (* b (+ a b)))

simplify742.0ms

Counts
75 → 75
Iterations

Useful iterations: done (740.0ms)

IterNodesCost
0111883
1343750
21251680
done5001642

prune122.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (sqrt (+ a b)) (pow (sqrt (+ a b)) 3))
0.8b
(pow (sqrt (+ a b)) 3)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
30×sqrt-prod
24×*-un-lft-identity
20×associate-*r*
18×unpow-prod-down cube-prod
14×add-cube-cbrt sqrt-div
12×unswap-sqr
8×add-exp-log cube-div
7×flip3-+ associate-*l* flip-+
5×pow1 add-cbrt-cube distribute-lft-out
4×frac-times sqr-pow
3×pow-unpow pow-pow prod-exp
2×cube-mult pow-to-exp unpow3 associate-*r/ associate-*l/ pow-exp add-log-exp
1×sqrt-pow1 pow1/2 *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
2 → 96
Calls
2 calls:
33.0ms
(* (sqrt (+ a b)) (pow (sqrt (+ a b)) 3))
6.0ms
(pow (sqrt (+ a b)) 3)

series96.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (sqrt (+ a b)) (pow (sqrt (+ a b)) 3))
62.0ms
(pow (sqrt (+ a b)) 3)

simplify733.0ms

Counts
102 → 102
Iterations

Useful iterations: done (730.0ms)

IterNodesCost
01281537
13241282
21213966
done5001962

prune146.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

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

sample340.0ms

Algorithm
intervals
Results
112.0ms8000×pre80true
102.0ms8000×body80valid