Details

Time bar (total: 5.1s)

sample14.0ms

Algorithm
intervals
Results
3.0ms256×pre80true
3.0ms256×body80valid

simplify118.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
047
1117
2267
3507
4877
51137
61317
71447
81467
done1467

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))

rewrite20.0ms

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 expm1-log1p-u distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 42
Calls
1 calls:
18.0ms
(* (+ a b) (+ a b))

series15.0ms

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

simplify2.5s

Counts
45 → 45
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
064532
1191462
2781416
34149380
done5000380

prune61.0ms

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
7×pow1 add-exp-log add-cube-cbrt flip3-+ associate-*r* associate-*l* add-cbrt-cube flip-+
6×associate-*r/ associate-*l/
5×add-log-exp
4×frac-add
3×expm1-log1p-u log1p-expm1-u
2×distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×+-commutative fma-def sum-log
Counts
3 → 68
Calls
3 calls:
11.0ms
(* (+ a b) b)
9.0ms
(* a (+ a b))
6.0ms
(+ (* a (+ a b)) (* (+ a b) b))

series80.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* (+ a b) b)
27.0ms
(* a (+ a b))
26.0ms
(+ (* a (+ a b)) (* (+ a b) b))

simplify800.0ms

Counts
77 → 77
Iterations

Useful iterations: done (798.0ms)

IterNodesCost
0116900
1345760
21312690
done5001652

prune128.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
30×sqrt-prod
24×*-un-lft-identity
20×associate-*l*
18×unpow-prod-down cube-prod
14×add-cube-cbrt sqrt-div
12×unswap-sqr
8×add-exp-log cube-div
7×flip3-+ associate-*r* flip-+
5×pow1 add-cbrt-cube distribute-lft-out
4×frac-times sqr-pow
3×pow-unpow pow-pow prod-exp
2×expm1-log1p-u cube-mult pow-to-exp unpow3 associate-*r/ associate-*l/ pow-exp log1p-expm1-u add-log-exp
1×sqrt-pow1 pow-plus pow1/2 *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
2 → 101
Calls
2 calls:
34.0ms
(* (pow (sqrt (+ a b)) 3) (sqrt (+ a b)))
6.0ms
(pow (sqrt (+ a b)) 3)

series91.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* (pow (sqrt (+ a b)) 3) (sqrt (+ a b)))
55.0ms
(pow (sqrt (+ a b)) 3)

simplify719.0ms

Counts
107 → 107
Iterations

Useful iterations: done (716.0ms)

IterNodesCost
01301571
13421118
21282972
done5000968

prune166.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

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

sample333.0ms

Algorithm
intervals
Results
107.0ms8000×pre80true
104.0ms8000×body80valid