Details

Time bar (total: 7.6s)

sample32.0ms

Algorithm
intervals
Results
17.0ms329×body80valid

simplify807.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x 3.0) 4.0)
0.1b
(* x (- (* x 3.0) 4.0))
0.2b
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
4×associate-*r/
3×distribute-rgt-in sub-neg distribute-lft-in
2×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×flip3-+ diff-log flip-+
Counts
3 → 58
Calls
3 calls:
11.0ms
(- (* x 3.0) 4.0)
58.0ms
(* x (- (* x 3.0) 4.0))
18.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series142.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- (* x 3.0) 4.0)
65.0ms
(* x (- (* x 3.0) 4.0))
35.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify520.0ms

Counts
67 → 67

prune172.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
0.2b
(* 9.0 (pow x 2))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log add-log-exp
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 diff-log unpow2 sqr-pow
1×pow-to-exp sub-neg flip3-- pow-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod
Counts
2 → 41
Calls
2 calls:
75.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
14.0ms
(* 9.0 (pow x 2))

series64.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
38.0ms
(* 9.0 (pow x 2))

simplify1.8s

Counts
47 → 47

prune87.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- (* 9.0 x) 12.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
32.0ms
(* x (- (* 9.0 x) 12.0))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(* x (- (* 9.0 x) 12.0))

simplify1.1s

Counts
27 → 27

prune62.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
0.2b
(* (cbrt 9.0) (pow x 2))
0.3b
(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

rewrite371.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
21×prod-exp
19×add-sqr-sqrt
10×add-cbrt-cube
9×associate-*r* cbrt-unprod
8×pow1 add-log-exp unswap-sqr
7×cbrt-prod add-cube-cbrt *-un-lft-identity associate-*l*
5×unpow-prod-down
3×pow-to-exp pow-prod-down pow-exp unpow2 sqr-pow
2×diff-log *-commutative
1×sub-neg flip3-- associate--l+ sum-log flip--
Counts
3 → 72
Calls
3 calls:
300.0ms
(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
19.0ms
(* (cbrt 9.0) (pow x 2))
48.0ms
(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

series220.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
51.0ms
(* (cbrt 9.0) (pow x 2))
120.0ms
(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

simplify509.0ms

Counts
81 → 81

prune159.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify405.0ms

end0.0ms

sample795.0ms

Algorithm
intervals
Results
581.0ms10686×body80valid