Details

Time bar (total: 4.9s)

sample17.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
4.0ms256×pre80true

simplify92.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1117
2257
3537
41137
51947
62147
72207
done2207

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

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:
35.0ms
(* (+ a b) (+ a b))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(* (+ a b) (+ a b))

simplify1.1s

Counts
43 → 43
Iterations

Useful iterations: done (1.1s)

IterNodesCost
062516
1226453
21685407
done5002400

prune79.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×associate-+l+
1×pow1 add-exp-log +-commutative distribute-rgt-in add-sqr-sqrt add-cube-cbrt *-un-lft-identity distribute-lft-in flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
22.0ms
(+ (* b (+ (* 2 a) b)) (* a a))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(+ (* b (+ (* 2 a) b)) (* a a))

simplify613.0ms

Counts
16 → 16
Iterations

Useful iterations: 2 (148.0ms)

IterNodesCost
037270
1129259
2759231
done5001231

prune35.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b)))
0.2b
(pow (* b (+ (* 2 a) b)) 3)
0.3b
(/ (+ (pow a 6) (pow (* b (+ (* 2 a) b)) 3)) (+ (* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b))) (* (* a a) (- (* a a) (* (+ (* 2 a) b) b)))))
0.5b
(* (* a a) (- (* a a) (* (+ (* 2 a) b) b)))

rewrite392.0ms

Algorithm
rewrite-expression-head
Rules
62×associate-*r/
51×pow1
26×add-exp-log add-cbrt-cube
23×*-un-lft-identity
21×flip3-+ pow-prod-down flip-+
18×associate-/r/
16×add-sqr-sqrt frac-add
15×add-cube-cbrt
12×frac-times times-frac prod-exp cbrt-unprod
9×flip3-- flip--
6×distribute-rgt-in distribute-lft-in associate-*l/
4×associate-*r* pow-sqr pow-prod-up distribute-lft-out associate-/l* add-log-exp
3×pow-unpow associate-/r*
2×cube-div sub-neg pow-pow pow-plus associate-*l* pow-exp *-commutative associate-/l/ rem-cube-cbrt
1×cbrt-undiv pow2 cube-mult pow-to-exp unpow-prod-down frac-2neg unpow3 cube-prod swap-sqr div-exp clear-num div-inv unswap-sqr sqr-pow
Counts
4 → 146
Calls
4 calls:
79.0ms
(* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b)))
14.0ms
(pow (* b (+ (* 2 a) b)) 3)
241.0ms
(/ (+ (pow a 6) (pow (* b (+ (* 2 a) b)) 3)) (+ (* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b))) (* (* a a) (- (* a a) (* (+ (* 2 a) b) b)))))
50.0ms
(* (* a a) (- (* a a) (* (+ (* 2 a) b) b)))

series275.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b)))
61.0ms
(pow (* b (+ (* 2 a) b)) 3)
121.0ms
(/ (+ (pow a 6) (pow (* b (+ (* 2 a) b)) 3)) (+ (* (* b (+ (* 2 a) b)) (* b (+ (* 2 a) b))) (* (* a a) (- (* a a) (* (+ (* 2 a) b) b)))))
40.0ms
(* (* a a) (- (* a a) (* (+ (* 2 a) b) b)))

simplify735.0ms

Counts
158 → 158
Iterations

Useful iterations: done (728.0ms)

IterNodesCost
02976042
110935388
done50004724

prune660.0ms

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
0811
11211
done1211

end0.0ms

sample701.0ms

Algorithm
intervals
Results
239.0ms8000×body80valid
166.0ms8000×pre80true