Details

Time bar (total: 3.4s)

sample33.0ms

Algorithm
intervals
Results
18.0ms381×body80valid

simplify167.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

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:
31.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series98.0ms

Counts
1 → 3
Calls
1 calls:
98.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify98.0ms

Counts
28 → 28

prune58.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))))

rewrite76.0ms

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:
27.0ms
(* x (- 3.0 (* x 2.0)))
46.0ms
(* x (* x (- 3.0 (* x 2.0))))

series194.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(* x (- 3.0 (* x 2.0)))
88.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify99.0ms

Counts
58 → 58

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

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)

rewrite69.0ms

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:
16.0ms
(* 2.0 (pow x 3))
26.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
24.0ms
(* (* x x) 3.0)

series239.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* 2.0 (pow x 3))
148.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
40.0ms
(* (* x x) 3.0)

simplify54.0ms

Counts
74 → 74

prune172.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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)))))
2.2b
(/ (* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))) (+ 3.0 (* x 2.0)))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
10×pow1 distribute-rgt-in add-sqr-sqrt distribute-lft-in associate-*r/
8×add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×sub-neg associate-*l*
5×associate-*r*
4×pow-prod-down
3×cbrt-undiv flip3-- times-frac div-exp associate-/r* flip-- add-log-exp
2×associate-/r/ *-commutative associate-/l/
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 80
Calls
3 calls:
46.0ms
(* 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)))))
59.0ms
(/ (* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))) (+ 3.0 (* x 2.0)))

series461.0ms

Counts
3 → 9
Calls
3 calls:
126.0ms
(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
115.0ms
(* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))
220.0ms
(/ (* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))) (+ 3.0 (* x 2.0)))

simplify67.0ms

Counts
89 → 89

prune202.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify159.0ms

end0.0ms

sample799.0ms

Algorithm
intervals
Results
528.0ms12069×body80valid