Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

373×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	35	9
3	90	9
4	149	9
5	156	9
6	175	9
7	247	9
8	479	9
9	1228	9
done	5000	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite44.0ms

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:

42.0ms

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

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

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

simplify1.3s

Counts

36 → 36

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	77	533
1	236	520
2	1730	456
done	5001	439

prune62.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

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))

rewrite39.0ms

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:

14.0ms	(* 2.0 (pow x 3))
11.0ms	(- (* 3.0 (pow x 2)) (* 2.0 (pow x 3)))
12.0ms	(* 3.0 (pow x 2))

series189.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* 2.0 (pow x 3))
113.0ms	(- (* 3.0 (pow x 2)) (* 2.0 (pow x 3)))
38.0ms	(* 3.0 (pow x 2))

simplify1.3s

Counts

87 → 87

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	126	833
1	307	744
2	1287	679
done	5000	637

prune308.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

19.0ms	(* 2.0 (pow x 3))
24.0ms	(- (* (* 3.0 x) (pow x (/ 2 2))) (* 2.0 (pow x 3)))
50.0ms	(* (* 3.0 x) (pow x (/ 2 2)))

series224.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* 2.0 (pow x 3))
122.0ms	(- (* (* 3.0 x) (pow x (/ 2 2))) (* 2.0 (pow x 3)))
50.0ms	(* (* 3.0 x) (pow x (/ 2 2)))

simplify2.6s

Counts

84 → 84

Iterations

Useful iterations: 2 (578.0ms)

Iter	Nodes	Cost
0	132	1017
1	371	814
2	2232	671
done	5002	671

prune221.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

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)))
0.1b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
0.3b	(* (cbrt 3.0) (pow x 2))

rewrite192.0ms

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:

27.0ms	(* 2.0 (pow x 3))
78.0ms	(- (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2))) (* 2.0 (pow x 3)))
63.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
15.0ms	(* (cbrt 3.0) (pow x 2))

series547.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* 2.0 (pow x 3))
283.0ms	(- (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2))) (* 2.0 (pow x 3)))
125.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
75.0ms	(* (cbrt 3.0) (pow x 2))

simplify2.2s

Counts

123 → 123

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	162	1537
1	420	1392
2	2194	1085
done	5001	945

prune337.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	27
1	20	27
done	20	27

end0.0ms

sample868.0ms

Algorithm

intervals

Results

573.0ms

11928×

body

valid