Details

sample41.0ms

Algorithm

intervals

Results

16.0ms

385×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	35	9
3	82	9
4	121	9
5	126	9
6	145	9
7	214	9
8	447	9
9	1349	9
done	5001	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite61.0ms

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:

60.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series133.0ms

Counts

1 → 3

Calls

1 calls:

133.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify1.1s

Counts

28 → 28

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	57	367
1	180	354
2	1206	308
done	5000	294

prune107.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 2.0) (pow x 3))
0.0b	(+ (* 3.0 (* x x)) (* (- 2.0) (pow x 3)))
0.2b	(* 3.0 (* x x))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`add-exp-log` `associate-r` `associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
8×	`pow1`
6×	`prod-exp`
5×	`add-log-exp` `unswap-sqr`
4×	`unpow-prod-down` `cube-prod` `cbrt-unprod`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down`
2×	`*-commutative` `sqr-pow`
1×	`+-commutative` `cube-mult` `pow-to-exp` `neg-mul-1` `flip3-+` `unpow3` `unsub-neg` `pow-exp` `sum-log` `flip-+`

Counts

3 → 71

Calls

3 calls:

30.0ms	(* (- 2.0) (pow x 3))
27.0ms	(+ (* 3.0 (* x x)) (* (- 2.0) (pow x 3)))
27.0ms	(* 3.0 (* x x))

series258.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* (- 2.0) (pow x 3))
155.0ms	(+ (* 3.0 (* x x)) (* (- 2.0) (pow x 3)))
46.0ms	(* 3.0 (* x x))

simplify2.4s

Counts

80 → 80

Iterations

Useful iterations: 2 (573.0ms)

Iter	Nodes	Cost
0	113	779
1	351	711
2	2429	633
done	5003	633

prune335.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

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))))

rewrite75.0ms

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:

28.0ms	(* x (- 3.0 (* x 2.0)))
43.0ms	(* x (* x (- 3.0 (* x 2.0))))

series224.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(* x (- 3.0 (* x 2.0)))
117.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify1.0s

Counts

58 → 58

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	79	669
1	230	655
2	1261	585
done	5000	573

prune262.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
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)))))
4.8b	(/ (* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))) (+ 3.0 (* x 2.0)))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `add-sqr-sqrt`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sub-neg` `prod-exp` `cbrt-unprod`
6×	`associate-l` `add-log-exp`
5×	`associate-r`
4×	`flip3--` `pow-prod-down` `flip--`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`associate-/r/` `*-commutative` `associate-/l/` `difference-of-squares`
1×	`frac-2neg` `flip3-+` `diff-log` `clear-num` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

18.0ms	(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
56.0ms	(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
82.0ms	(* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))
112.0ms	(/ (* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))) (+ 3.0 (* x 2.0)))

series826.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))
187.0ms	(* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))
210.0ms	(* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))))
313.0ms	(/ (* x (* x (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0))))) (+ 3.0 (* x 2.0)))

simplify2.5s

Counts

105 → 105

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	143	2176
1	445	2101
2	2701	1751
done	5001	1739

prune552.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	15	12
2	19	12
3	20	12
done	20	12

end0.0ms

sample1.1s

Algorithm

intervals

Results

754.0ms

12139×

body

valid