Details

Time bar (total: 6.6s)

sample17.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
3.0ms256×body80valid

simplify83.0ms

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))

simplify2.9s

Counts
45 → 45
Iterations

Useful iterations: 3 (897.0ms)

IterNodesCost
064532
1191462
2816416
34899371
done5000371

prune66.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
7×associate-*r* associate-*l*
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
2×expm1-log1p-u flip3-+ associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
1×distribute-rgt-in distribute-lft-in
Counts
2 → 48
Calls
2 calls:
9.0ms
(* a (+ a b))
10.0ms
(* (+ a b) b)

series55.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* a (+ a b))
28.0ms
(* (+ a b) b)

simplify1.5s

Counts
54 → 54
Iterations

Useful iterations: 3 (449.0ms)

IterNodesCost
073402
1179381
2689342
33019340
done5000340

prune89.0ms

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))))

rewrite108.0ms

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×expm1-log1p-u unpow-prod-down cube-prod associate-*r/ associate-*r* associate-*l/ log1p-expm1-u
3×associate-+r+ times-frac associate-/r*
2×cbrt-undiv sub-neg diff-log div-exp prod-diff prod-exp sum-log associate-/r/ cbrt-unprod
1×+-commutative distribute-rgt-in associate-+r- flip3-- distribute-rgt-out-- fma-def frac-2neg distribute-lft-in fma-neg pow-prod-down clear-num sum-cubes *-commutative flip-- div-inv associate-/l* unswap-sqr
Counts
4 → 106
Calls
4 calls:
3.0ms
(- (* b b) (* a b))
7.0ms
(+ (* a a) (- (* b b) (* a b)))
60.0ms
(* (+ (pow a 3) (pow b 3)) (+ a b))
34.0ms
(/ (* (+ (pow a 3) (pow b 3)) (+ a b)) (+ (* a a) (- (* b b) (* a b))))

series172.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (* b b) (* a b))
22.0ms
(+ (* a a) (- (* b b) (* a b)))
53.0ms
(* (+ (pow a 3) (pow b 3)) (+ a b))
61.0ms
(/ (* (+ (pow a 3) (pow b 3)) (+ a b)) (+ (* a a) (- (* b b) (* a b))))

simplify813.0ms

Counts
118 → 118
Iterations

Useful iterations: 2 (195.0ms)

IterNodesCost
01752297
15351902
225011706
done50011706

prune329.0ms

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

sample335.0ms

Algorithm
intervals
Results
111.0ms8000×pre80true
99.0ms8000×body80valid