Details

sample31.0ms

Algorithm

intervals

Results

16.0ms

381×

body

valid

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	35	9
3	88	9
4	140	9
5	147	9
6	164	9
7	211	9
8	355	9
9	829	9
10	2619	9
done	5000	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `prod-diff` `add-cbrt-cube`
5×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
4×	`add-cube-cbrt` `*-un-lft-identity`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 33

Calls

1 calls:

41.0ms

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

series99.0ms

Counts

1 → 3

Calls

1 calls:

99.0ms

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

simplify2.7s

Counts

36 → 36

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	77	533
1	207	518
2	681	442
3	2676	421
done	5002	397

prune108.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `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`
4×	`unpow-prod-down` `cube-prod` `associate-l` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
2×	`sum-log` `*-commutative` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `fma-def` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

3 → 71

Calls

3 calls:

19.0ms	(* 2.0 (pow x 3))
24.0ms	(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
31.0ms	(* (* x 3.0) x)

series230.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* 2.0 (pow x 3))
133.0ms	(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
36.0ms	(* (* x 3.0) x)

simplify1.9s

Counts

80 → 80

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	113	760
1	289	673
2	1064	609
done	5000	573

prune208.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 2.0 (pow x 3))
0.0b	(- (* 3.0 (pow x 2)) (* 2.0 (pow x 3)))
0.2b	(* 3.0 (pow x 2))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
20×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `unswap-sqr`
7×	`add-cbrt-cube`
6×	`associate-l` `prod-exp`
5×	`add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `unpow2`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `prod-diff` `flip--`

Counts

3 → 78

Calls

3 calls:

21.0ms	(* 2.0 (pow x 3))
16.0ms	(- (* 3.0 (pow x 2)) (* 2.0 (pow x 3)))
17.0ms	(* 3.0 (pow x 2))

series180.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* 2.0 (pow x 3))
105.0ms	(- (* 3.0 (pow x 2)) (* 2.0 (pow x 3)))
33.0ms	(* 3.0 (pow x 2))

simplify3.9s

Counts

87 → 87

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	126	833
1	277	744
2	765	674
3	4330	635
done	5000	634

prune280.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (pow x 3))
0.0b	(- (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2))) (* 2.0 (pow x 3)))
0.2b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
0.3b	(* (cbrt 3.0) (pow x 2))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log`
31×	`add-sqr-sqrt`
24×	`prod-exp`
21×	`associate-r`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity` `unswap-sqr`
10×	`associate-l` `cbrt-unprod`
9×	`pow1` `unpow-prod-down`
7×	`cbrt-prod`
6×	`add-log-exp`
5×	`sqr-pow`
4×	`expm1-log1p-u` `pow-to-exp` `cube-prod` `pow-exp` `log1p-expm1-u`
3×	`pow-prod-down` `*-commutative` `unpow2`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `prod-diff` `flip--`

Counts

4 → 111

Calls

4 calls:

25.0ms	(* 2.0 (pow x 3))
82.0ms	(- (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2))) (* 2.0 (pow x 3)))
54.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
19.0ms	(* (cbrt 3.0) (pow x 2))

series537.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* 2.0 (pow x 3))
211.0ms	(- (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2))) (* 2.0 (pow x 3)))
175.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
88.0ms	(* (cbrt 3.0) (pow x 2))

simplify1.8s

Counts

123 → 123

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	162	1537
1	370	1392
2	1208	1074
done	5001	902

prune389.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample930.0ms

Algorithm

intervals

Results

635.0ms

12069×

body

valid