Details

Time bar (total: 10.9s)

sample18.0ms

Algorithm
intervals
Results
9.0ms382×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1139
2359
3829
41219
51269
61459
72149
84479
913499
done50019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg *-un-lft-identity distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
47.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series93.0ms

Counts
1 → 3
Calls
1 calls:
93.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify897.0ms

Counts
28 → 28
Iterations

Useful iterations: done (896.0ms)

IterNodesCost
057367
1180354
21206308
done5000294

prune60.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 3.0 (* x x)) (* (- 2.0) (pow x 3)))
0.2b
(* 3.0 (* x x))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×distribute-lft-neg-out
1×+-commutative flip3-+ associate-*r* unsub-neg sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 32
Calls
2 calls:
28.0ms
(+ (* 3.0 (* x x)) (* (- 2.0) (pow x 3)))
33.0ms
(* 3.0 (* x x))

series186.0ms

Counts
2 → 6
Calls
2 calls:
144.0ms
(+ (* 3.0 (* x x)) (* (- 2.0) (pow x 3)))
42.0ms
(* 3.0 (* x x))

simplify1.1s

Counts
38 → 38
Iterations

Useful iterations: done (1.1s)

IterNodesCost
060430
1193410
21152341
done5000311

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* 3.0 x) x) (* (- 2.0) (pow x 3)))
0.2b
(* (* 3.0 x) x)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×distribute-lft-neg-out
1×+-commutative flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+
Counts
2 → 31
Calls
2 calls:
29.0ms
(+ (* (* 3.0 x) x) (* (- 2.0) (pow x 3)))
31.0ms
(* (* 3.0 x) x)

series194.0ms

Counts
2 → 6
Calls
2 calls:
149.0ms
(+ (* (* 3.0 x) x) (* (- 2.0) (pow x 3)))
45.0ms
(* (* 3.0 x) x)

simplify896.0ms

Counts
37 → 37
Iterations

Useful iterations: done (895.0ms)

IterNodesCost
062425
1186396
21217342
done5000308

prune108.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))
0.2b
(* (* x x) (- (pow 3.0 3) (pow (* x 2.0) 3)))
5.2b
(/ (* (* x x) (- (pow 3.0 3) (pow (* x 2.0) 3))) (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))))

rewrite338.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-sqr-sqrt add-cbrt-cube
13×associate-*r*
8×pow1 *-un-lft-identity difference-of-squares
6×add-cube-cbrt prod-exp cbrt-unprod sqr-pow
5×add-log-exp
4×associate-*r/
3×cbrt-undiv times-frac div-exp pow-prod-down associate-/r*
2×distribute-rgt-in sub-neg unpow-prod-down flip3-- distribute-lft-in flip3-+ cube-prod associate-/r/ flip-- flip-+ associate-/l/
1×difference-cubes +-commutative distribute-rgt-out frac-2neg associate-*l* clear-num sum-log *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
3 → 74
Calls
3 calls:
27.0ms
(+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))
83.0ms
(* (* x x) (- (pow 3.0 3) (pow (* x 2.0) 3)))
225.0ms
(/ (* (* x x) (- (pow 3.0 3) (pow (* x 2.0) 3))) (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))))

series523.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))
185.0ms
(* (* x x) (- (pow 3.0 3) (pow (* x 2.0) 3)))
237.0ms
(/ (* (* x x) (- (pow 3.0 3) (pow (* x 2.0) 3))) (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0)))))

simplify2.8s

Counts
83 → 83
Iterations

Useful iterations: 2 (749.0ms)

IterNodesCost
01642192
15651866
243991582
done50011582

prune339.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11512
21912
32012
done2012

end0.0ms

sample809.0ms

Algorithm
intervals
Results
549.0ms11988×body80valid