Details

sample17.0ms

Algorithm

intervals

Results

9.0ms	323×	body	80	valid
1.0ms	9×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify61.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	31	9
3	68	9
4	110	9
5	127	9
done	127	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-l/` `-commutative` `flip--` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 44

Calls

2 calls:

7.0ms	(* 3.0 (- 2.0 (* x 3.0)))
11.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series142.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* 3.0 (- 2.0 (* x 3.0)))
83.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify3.2s

Counts

50 → 50

Iterations

Useful iterations: 3 (445.0ms)

Iter	Nodes	Cost
0	80	554
1	203	546
2	884	464
3	4875	457
done	5000	457

prune86.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 6.0 (* 9.0 x)))

rewrite8.0ms

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:

7.0ms

(* x (- 6.0 (* 9.0 x)))

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

(* x (- 6.0 (* 9.0 x)))

simplify1.5s

Counts

27 → 27

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	51	273
1	125	270
2	494	236
3	2436	236
done	5001	236

prune49.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 6.0 x) (- (* 9.0 (pow x 2))))
0.2b	(* 9.0 (pow x 2))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
6×	`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` `sum-log` `unpow2` `sqr-pow`
1×	`+-commutative` `neg-sub0` `pow-to-exp` `associate-+r-` `flip3-+` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 42

Calls

2 calls:

3.0ms	(+ (* 6.0 x) (- (* 9.0 (pow x 2))))
6.0ms	(* 9.0 (pow x 2))

series98.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(+ (* 6.0 x) (- (* 9.0 (pow x 2))))
25.0ms	(* 9.0 (pow x 2))

simplify477.0ms

Counts

48 → 48

Iterations

Useful iterations: done (476.0ms)

Iter	Nodes	Cost
0	81	476
1	214	423
2	931	370
done	5000	336

prune87.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 6.0 x) (- (* (* (fabs x) (sqrt 9.0)) (* (fabs x) (sqrt 9.0)))))
0.3b	(* (* (fabs x) (sqrt 9.0)) (* (fabs x) (sqrt 9.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

41×	`pow1`
17×	`pow-prod-down`
14×	`add-exp-log` `add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
4×	`pow-sqr` `pow-prod-up`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow-plus` `sum-log`
1×	`+-commutative` `pow2` `neg-sub0` `associate-+r-` `flip3-+` `swap-sqr` `associate-r` `associate-l` `unsub-neg` `neg-log` `*-commutative` `flip-+`

Counts

2 → 49

Calls

2 calls:

4.0ms	(+ (* 6.0 x) (- (* (* (fabs x) (sqrt 9.0)) (* (fabs x) (sqrt 9.0)))))
15.0ms	(* (* (fabs x) (sqrt 9.0)) (* (fabs x) (sqrt 9.0)))

series177.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(+ (* 6.0 x) (- (* (* (fabs x) (sqrt 9.0)) (* (fabs x) (sqrt 9.0)))))
67.0ms	(* (* (fabs x) (sqrt 9.0)) (* (fabs x) (sqrt 9.0)))

simplify486.0ms

Counts

55 → 55

Iterations

Useful iterations: done (485.0ms)

Iter	Nodes	Cost
0	70	813
1	207	503
2	1003	399
done	5000	398

prune68.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes47.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	16	10
2	18	10
done	18	10

end0.0ms

sample371.0ms

Algorithm

intervals

Results

195.0ms	9919×	body	80	valid
31.0ms	321×	body	1280	valid
20.0ms	291×	body	640	valid
7.0ms	141×	body	320	valid
2.0ms	66×	body	160	valid