Details

Time bar (total: 11.3s)

sample22.0ms

Algorithm
intervals
Results
11.0ms379×body80valid

simplify2.5s

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite40.0ms

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:
39.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series109.0ms

Counts
1 → 3
Calls
1 calls:
109.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify517.0ms

Counts
28 → 28

prune46.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*r*
13×add-exp-log
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×prod-exp
5×unswap-sqr
4×unpow-prod-down cube-prod associate-*l* cbrt-unprod
3×pow-prod-down
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 65
Calls
3 calls:
29.0ms
(* 2.0 (pow x 3))
37.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
35.0ms
(* (* x x) 3.0)

series264.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(* 2.0 (pow x 3))
159.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
36.0ms
(* (* x x) 3.0)

simplify921.0ms

Counts
74 → 74

prune168.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- 3.0 (* x 2.0)))
0.2b
(* x (* x (- 3.0 (* x 2.0))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×sub-neg associate-*r/ associate-*l*
5×add-cube-cbrt *-un-lft-identity
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×unswap-sqr
Counts
2 → 52
Calls
2 calls:
20.0ms
(* x (- 3.0 (* x 2.0)))
40.0ms
(* x (* x (- 3.0 (* x 2.0))))

series167.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(* x (- 3.0 (* x 2.0)))
78.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify559.0ms

Counts
58 → 58

prune112.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
0.1b
(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
0.2b
(* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))
2.9b
(/ (* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))) (+ 3.0 (* x 2.0)))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
11×pow1 add-sqr-sqrt
10×distribute-rgt-in distribute-lft-in associate-*r/
9×add-cube-cbrt *-un-lft-identity
7×sub-neg prod-exp cbrt-unprod
6×associate-*l* add-log-exp
5×associate-*r*
4×flip3-- pow-prod-down flip--
3×cbrt-undiv times-frac div-exp associate-/r*
2×associate-/r/ *-commutative associate-/l/ difference-of-squares
1×frac-2neg flip3-+ diff-log clear-num flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 93
Calls
4 calls:
16.0ms
(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
42.0ms
(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
51.0ms
(* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))
65.0ms
(/ (* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))) (+ 3.0 (* x 2.0)))

series539.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
131.0ms
(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
139.0ms
(* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))
198.0ms
(/ (* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))) (+ 3.0 (* x 2.0)))

simplify1.1s

Counts
105 → 105

prune223.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes14.0ms

Accuracy

-43% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.8s

end0.0ms

sample836.0ms

Algorithm
intervals
Results
556.0ms12088×body80valid