Details

Time bar (total: 11.7s)

sample29.0ms

Algorithm
intervals
Results
15.0ms372×body80valid

simplify2.3s

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
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:
48.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series91.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify471.0ms

Counts
28 → 28

prune44.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*r*
13×add-exp-log
10×add-cbrt-cube
pow1 add-cube-cbrt *-un-lft-identity
add-log-exp
prod-exp
unswap-sqr
unpow-prod-down cube-prod associate-*l* cbrt-unprod
pow-prod-down
sum-log *-commutative sqr-pow
+-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:
20.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
20.0ms
(* 2.0 (pow x 3))
23.0ms
(* (* x x) 3.0)

series217.0ms

Counts
3 → 9
Calls
3 calls:
139.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
46.0ms
(* 2.0 (pow x 3))
32.0ms
(* (* x x) 3.0)

simplify902.0ms

Counts
74 → 74

prune176.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-exp-log associate-*r*
10×add-cbrt-cube
pow1 add-cube-cbrt *-un-lft-identity
add-log-exp
associate-*l* prod-exp
unpow-prod-down cube-prod cbrt-unprod unswap-sqr
pow-prod-down
sum-log *-commutative sqr-pow
+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 64
Calls
3 calls:
34.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
26.0ms
(* 2.0 (pow x 3))
17.0ms
(* x (* x 3.0))

series255.0ms

Counts
3 → 9
Calls
3 calls:
159.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
54.0ms
(* 2.0 (pow x 3))
42.0ms
(* x (* x 3.0))

simplify940.0ms

Counts
73 → 73

prune176.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* (* x x) (sqrt 3.0)) (sqrt 3.0)) (- (* 2.0 (pow x 3))))
0.0b
(* 2.0 (pow x 3))
0.3b
(* (* (* x x) (sqrt 3.0)) (sqrt 3.0))
0.3b
(* (* x x) (sqrt 3.0))

rewrite282.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*r*
23×add-exp-log
21×add-sqr-sqrt
20×add-cbrt-cube
18×pow1
12×add-cube-cbrt *-un-lft-identity prod-exp
10×cbrt-unprod
pow-prod-down
add-log-exp
sqrt-prod
unswap-sqr
associate-*l*
unpow-prod-down cube-prod
*-commutative
sum-log sqr-pow
+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
4 → 93
Calls
4 calls:
91.0ms
(+ (* (* (* x x) (sqrt 3.0)) (sqrt 3.0)) (- (* 2.0 (pow x 3))))
26.0ms
(* 2.0 (pow x 3))
107.0ms
(* (* (* x x) (sqrt 3.0)) (sqrt 3.0))
54.0ms
(* (* x x) (sqrt 3.0))

series435.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(+ (* (* (* x x) (sqrt 3.0)) (sqrt 3.0)) (- (* 2.0 (pow x 3))))
53.0ms
(* 2.0 (pow x 3))
125.0ms
(* (* (* x x) (sqrt 3.0)) (sqrt 3.0))
51.0ms
(* (* x x) (sqrt 3.0))

simplify1.3s

Counts
105 → 105

prune264.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes23.0ms

Accuracy

-76.5% (0.2b remaining)

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

bsearch0.0ms

simplify2.5s

end0.0ms

sample1.0s

Algorithm
intervals
Results
808.0ms11923×body80valid