Details

Time bar (total: 2.4s)

sample21.0ms

Algorithm
intervals
Results
11.0ms397×body80valid

simplify180.0ms

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)))

rewrite36.0ms

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:
35.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify136.0ms

Counts
28 → 28

prune39.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
6×add-log-exp
4×add-sqr-sqrt
3×add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sum-log
1×+-commutative neg-sub0 associate-+r- flip3-+ associate-*l* unsub-neg neg-log *-commutative flip-+ unswap-sqr
Counts
2 → 34
Calls
2 calls:
19.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
18.0ms
(* (* x x) 3.0)

series128.0ms

Counts
2 → 6
Calls
2 calls:
102.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
26.0ms
(* (* x x) 3.0)

simplify37.0ms

Counts
40 → 40

prune71.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

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))))

rewrite48.0ms

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:
17.0ms
(* x (- 3.0 (* x 2.0)))
30.0ms
(* x (* x (- 3.0 (* x 2.0))))

series148.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(* x (- 3.0 (* x 2.0)))
76.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify35.0ms

Counts
58 → 58

prune71.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
0.3b
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
0.4b
(* x (sqrt 3.0))
0.4b
(* x (sqrt 3.0))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
20×add-exp-log add-cbrt-cube
19×pow-prod-down
18×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×sqrt-prod add-log-exp
7×associate-*l*
4×pow-sqr pow-prod-up unswap-sqr
3×*-commutative
2×pow-plus sum-log
1×+-commutative pow2 neg-sub0 associate-+r- flip3-+ swap-sqr unsub-neg neg-log flip-+
Counts
4 → 93
Calls
4 calls:
40.0ms
(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
38.0ms
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
10.0ms
(* x (sqrt 3.0))
15.0ms
(* x (sqrt 3.0))

series318.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
77.0ms
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
48.0ms
(* x (sqrt 3.0))
45.0ms
(* x (sqrt 3.0))

simplify50.0ms

Counts
105 → 105

prune160.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample671.0ms

Algorithm
intervals
Results
446.0ms12023×body80valid