Details

Time bar (total: 8.8s)

sample14.0ms

Algorithm
intervals
Results
6.0ms313×body80valid
1.0ms11×body1280valid
1.0ms8×body640valid
0.0ms3×body320valid
0.0ms1×body160valid

simplify61.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1149
2319
3679
41069
51219
done1219

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 2.0 (* x 3.0))
0.1b
(* 3.0 (- 2.0 (* x 3.0)))
0.1b
(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*r*
5×add-log-exp
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative
1×diff-log unswap-sqr
Counts
3 → 56
Calls
3 calls:
2.0ms
(- 2.0 (* x 3.0))
7.0ms
(* 3.0 (- 2.0 (* x 3.0)))
11.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

series171.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- 2.0 (* x 3.0))
54.0ms
(* 3.0 (- 2.0 (* x 3.0)))
82.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify1.5s

Counts
65 → 65
Iterations

Useful iterations: done (1.5s)

IterNodesCost
090686
1217673
2709591
32963584
done5000583

prune109.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 6.0 (* 9.0 x))
0.1b
(* x (- 6.0 (* 9.0 x)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
2.0ms
(- 6.0 (* 9.0 x))
7.0ms
(* x (- 6.0 (* 9.0 x)))

series103.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- 6.0 (* 9.0 x))
68.0ms
(* x (- 6.0 (* 9.0 x)))

simplify826.0ms

Counts
42 → 42
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
059405
1140397
2380353
31288353
done5000353

prune77.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 6.0 x) (* (- (* x x)) 9.0))
0.2b
(* (- (* x x)) 9.0)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*l*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×distribute-lft-neg-out associate-*r*
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 35
Calls
2 calls:
2.0ms
(+ (* 6.0 x) (* (- (* x x)) 9.0))
4.0ms
(* (- (* x x)) 9.0)

series97.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(+ (* 6.0 x) (* (- (* x x)) 9.0))
25.0ms
(* (- (* x x)) 9.0)

simplify3.8s

Counts
41 → 41
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
064421
1177383
2741325
34455317
done5000317

prune83.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x)))
0.1b
(* x (/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x))))
0.2b
(/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x)))
0.3b
(* (* 9.0 x) (* 9.0 x))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
27×add-sqr-sqrt
25×times-frac
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity
19×associate-*r*
18×pow-prod-down
10×prod-exp cbrt-unprod
8×difference-of-squares
6×add-log-exp
4×associate-*l* associate-/r/ pow-sqr pow-prod-up associate-/l*
3×associate-/r*
2×cbrt-undiv flip3-- flip3-+ pow-plus div-exp *-commutative flip-- flip-+ div-inv associate-/l/ unswap-sqr
1×pow2 sub-neg frac-2neg diff-log div-sub associate-*r/ swap-sqr clear-num
Counts
4 → 120
Calls
4 calls:
3.0ms
(- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x)))
17.0ms
(* x (/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x))))
10.0ms
(/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x)))
10.0ms
(* (* 9.0 x) (* 9.0 x))

series361.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x)))
162.0ms
(* x (/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x))))
113.0ms
(/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x)))
28.0ms
(* (* 9.0 x) (* 9.0 x))

simplify862.0ms

Counts
132 → 132
Iterations

Useful iterations: 2 (184.0ms)

IterNodesCost
01602472
14392281
216032007
done50002007

prune216.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1109
done109

end0.0ms

sample360.0ms

Algorithm
intervals
Results
188.0ms9778×body80valid
31.0ms351×body1280valid
19.0ms245×body640valid
7.0ms144×body320valid
2.0ms60×body160valid