Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

403×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	34	9
3	69	9
4	86	9
5	91	9
6	108	9
7	150	9
8	271	9
9	672	9
10	2211	9
done	5001	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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:

13.0ms

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

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

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

simplify2.2s

Counts

28 → 28

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	57	367
1	165	352
2	698	294
3	3440	294
done	5001	294

prune48.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`associate-r`
13×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-log-exp`
6×	`prod-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `cube-prod` `associate-l` `cbrt-unprod`
3×	`pow-prod-down`
2×	`sum-log` `*-commutative` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

3 → 65

Calls

3 calls:

9.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
7.0ms	(* 2.0 (pow x 3))
8.0ms	(* (* x x) 3.0)

series159.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
39.0ms	(* 2.0 (pow x 3))
25.0ms	(* (* x x) 3.0)

simplify774.0ms

Counts

74 → 74

Iterations

Useful iterations: done (772.0ms)

Iter	Nodes	Cost
0	110	718
1	285	620
2	1105	568
done	5000	566

prune128.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-exp-log` `associate-r`
10×	`add-cbrt-cube`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-log-exp`
6×	`associate-l` `prod-exp`
4×	`unpow-prod-down` `cube-prod` `cbrt-unprod` `unswap-sqr`
3×	`pow-prod-down`
2×	`sum-log` `*-commutative` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

3 → 64

Calls

3 calls:

9.0ms	(* 2.0 (pow x 3))
7.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
7.0ms	(* x (* x 3.0))

series154.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* 2.0 (pow x 3))
93.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
24.0ms	(* x (* x 3.0))

simplify831.0ms

Counts

73 → 73

Iterations

Useful iterations: done (829.0ms)

Iter	Nodes	Cost
0	105	707
1	278	621
2	1014	563
done	5001	562

prune120.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
39×	`add-exp-log`
27×	`pow-prod-down`
24×	`prod-exp`
23×	`add-cbrt-cube`
22×	`cbrt-unprod`
19×	`associate-r`
17×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-log-exp`
5×	`associate-l` `unswap-sqr`
4×	`unpow-prod-down` `pow-plus` `cube-prod` `pow-prod-up`
3×	`cbrt-prod` `*-commutative`
2×	`pow2` `sum-log` `pow-sqr` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

4 → 105

Calls

4 calls:

63.0ms	(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
7.0ms	(* 2.0 (pow x 3))
17.0ms	(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
65.0ms	(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series366.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
41.0ms	(* 2.0 (pow x 3))
75.0ms	(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
90.0ms	(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify1.0s

Counts

117 → 117

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	148	1534
1	399	1267
2	1721	886
done	5000	884

prune205.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	18	12
2	20	12
done	20	12

end0.0ms

sample373.0ms

Algorithm

intervals

Results

240.0ms

12071×

body

valid