Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	311×	body	80	valid
1.0ms	9×	body	640	valid
1.0ms	7×	body	1280	valid
1.0ms	8×	body	320	valid
0.0ms	3×	body	160	valid

simplify234.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	32	9
3	76	9
4	163	9
5	212	9
6	222	9
7	224	9
done	224	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* 3.0 (- 2.0 (* x 3.0)))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

5.0ms	(- 2.0 (* x 3.0))
23.0ms	(* 3.0 (- 2.0 (* x 3.0)))
66.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series269.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- 2.0 (* x 3.0))
94.0ms	(* 3.0 (- 2.0 (* x 3.0)))
128.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify1.0s

Counts

65 → 65

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	90	686
1	235	673
2	1215	587
done	5000	579

prune144.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

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:

21.0ms

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

series95.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

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

simplify3.4s

Counts

27 → 27

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	51	273
1	133	270
2	569	244
3	4564	238
done	5000	238

prune92.0ms

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	(+ (* 6.0 x) (* (- (* 9.0 x)) x))
0.2b	(* (- (* 9.0 x)) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-out` `associate-r`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-out` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

8.0ms	(+ (* 6.0 x) (* (- (* 9.0 x)) x))
17.0ms	(* (- (* 9.0 x)) x)

series128.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(+ (* 6.0 x) (* (- (* 9.0 x)) x))
42.0ms	(* (- (* 9.0 x)) x)

simplify1.0s

Counts

42 → 42

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	64	427
1	186	373
2	1239	328
done	5000	327

prune124.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 6.0 x) (pow (* 9.0 (* (- x) x)) 1))
0.2b	(* 9.0 (* (- x) x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `distribute-lft-neg-out` `flip3-+` `associate-r` `sum-log` `*-commutative` `distribute-rgt-neg-out` `flip-+`

Counts

2 → 30

Calls

2 calls:

10.0ms	(+ (* 6.0 x) (pow (* 9.0 (* (- x) x)) 1))
31.0ms	(* 9.0 (* (- x) x))

series152.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(+ (* 6.0 x) (pow (* 9.0 (* (- x) x)) 1))
40.0ms	(* 9.0 (* (- x) x))

simplify892.0ms

Counts

36 → 36

Iterations

Useful iterations: 2 (156.0ms)

Iter	Nodes	Cost
0	68	445
1	202	377
2	1174	306
done	5001	306

prune73.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	18	10
2	23	10
3	24	10
done	24	10

end0.0ms

sample826.0ms

Algorithm

intervals

Results

430.0ms	9879×	body	80	valid
93.0ms	337×	body	1280	valid
42.0ms	319×	body	640	valid
13.0ms	140×	body	320	valid
3.0ms	53×	body	160	valid