Details

sample21.0ms

Algorithm

intervals

Results

8.0ms	314×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	9×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	2×	body	160	valid

simplify168.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	32	9
3	75	9
4	133	9
5	151	9
done	151	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite114.0ms

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:

11.0ms	(- 2.0 (* x 3.0))
64.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
36.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series313.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- 2.0 (* x 3.0))
136.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
116.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify2.7s

Counts

65 → 65

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	90	686
1	218	673
2	687	581
3	2836	574
done	5001	574

prune195.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* (- 6.0 (* 9.0 x)) x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

5.0ms	(- 6.0 (* 9.0 x))
19.0ms	(* (- 6.0 (* 9.0 x)) x)

series178.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(- 6.0 (* 9.0 x))
109.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify2.6s

Counts

38 → 38

Iterations

Useful iterations: 3 (538.0ms)

Iter	Nodes	Cost
0	57	369
1	135	361
2	419	323
3	1395	317
done	5000	317

prune93.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 9.0 x) 6.0)
0.1b	(* (/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ (* 9.0 x) 6.0)) x)
0.2b	(/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ (* 9.0 x) 6.0))
0.3b	(* (* 9.0 x) (* 9.0 x))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
27×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity`
19×	`associate-l`
18×	`pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
7×	`difference-of-squares`
6×	`add-log-exp`
4×	`associate-r` `associate-/r/` `pow-sqr` `pow-prod-up` `associate-/l*`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `pow-plus` `div-exp` `*-commutative` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `pow2` `flip3--` `frac-2neg` `div-sub` `swap-sqr` `associate-*l/` `clear-num` `sum-log` `flip--`

Counts

4 → 118

Calls

4 calls:

8.0ms	(+ (* 9.0 x) 6.0)
61.0ms	(* (/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ (* 9.0 x) 6.0)) x)
37.0ms	(/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ (* 9.0 x) 6.0))
43.0ms	(* (* 9.0 x) (* 9.0 x))

series515.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* 9.0 x) 6.0)
260.0ms	(* (/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ (* 9.0 x) 6.0)) x)
183.0ms	(/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ (* 9.0 x) 6.0))
35.0ms	(* (* 9.0 x) (* 9.0 x))

simplify1.2s

Counts

130 → 130

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	161	2285
1	429	2172
2	1565	1920
done	5000	1585

prune373.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* (- 6.0 (* 9.0 x)) x)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

5.0ms	(- 6.0 (* 9.0 x))
35.0ms	(* (- 6.0 (* 9.0 x)) x)

series141.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(- 6.0 (* 9.0 x))
89.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify2.2s

Counts

38 → 38

Iterations

Useful iterations: 3 (427.0ms)

Iter	Nodes	Cost
0	57	369
1	135	361
2	419	323
3	1395	317
done	5000	317

prune69.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

727.0ms	9955×	body	80	valid
62.0ms	276×	body	640	valid
44.0ms	329×	body	1280	valid
10.0ms	122×	body	320	valid
4.0ms	72×	body	160	valid