Details

Time bar (total: 9.9s)

sample36.0ms

Algorithm
intervals
Results
21.0ms414×body80valid

simplify2.3s

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)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in add-cube-cbrt sub-neg *-un-lft-identity distribute-lft-in associate-*r/
flip3-- associate-*l* *-commutative flip-- add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
30.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify406.0ms

Counts
28 → 28

prune69.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt
sub-neg associate-*r/ associate-*l*
add-cube-cbrt *-un-lft-identity
associate-*r* pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip-- add-log-exp
unswap-sqr
Counts
2 → 52
Calls
2 calls:
31.0ms
(* x (- 3.0 (* x 2.0)))
41.0ms
(* x (* x (- 3.0 (* x 2.0))))

series201.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(* x (- 3.0 (* x 2.0)))
109.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify453.0ms

Counts
58 → 58

prune76.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
0.1b
(* x (/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0))))
0.3b
(/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
14×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity
pow1
times-frac associate-*l* prod-exp cbrt-unprod
associate-*r/
cbrt-undiv div-exp associate-/r/
associate-/r* add-log-exp
distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ pow-prod-down *-commutative flip-- flip-+ div-inv associate-/l/ unswap-sqr
frac-2neg clear-num associate-/l* difference-of-squares
Counts
3 → 79
Calls
3 calls:
46.0ms
(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
60.0ms
(* x (/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0))))
39.0ms
(/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

series646.0ms

Counts
3 → 9
Calls
3 calls:
142.0ms
(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
239.0ms
(* x (/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0))))
265.0ms
(/ (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (+ 3.0 (* x 2.0)))

simplify1.1s

Counts
88 → 88

prune207.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(- (* 3.0 (pow x 2)) (* 2.0 (pow x 3)))
0.2b
(* 3.0 (pow x 2))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
20×associate-*r*
13×add-exp-log
10×add-cube-cbrt *-un-lft-identity
unpow-prod-down unswap-sqr
add-cbrt-cube
associate-*l* prod-exp
add-log-exp
cube-prod sqr-pow
pow1
pow-to-exp pow-exp *-commutative cbrt-unprod unpow2
cube-mult sub-neg flip3-- diff-log unpow3 flip--
Counts
3 → 70
Calls
3 calls:
14.0ms
(* 2.0 (pow x 3))
17.0ms
(- (* 3.0 (pow x 2)) (* 2.0 (pow x 3)))
21.0ms
(* 3.0 (pow x 2))

series184.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* 2.0 (pow x 3))
115.0ms
(- (* 3.0 (pow x 2)) (* 2.0 (pow x 3)))
29.0ms
(* 3.0 (pow x 2))

simplify602.0ms

Counts
79 → 79

prune223.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.2s

end0.0ms

sample777.0ms

Algorithm
intervals
Results
528.0ms11949×body80valid