Details

sample27.0ms

Algorithm

intervals

Results

10.0ms

310×

body

valid

simplify15.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	83
1	9	83
2	15	83
3	17	83
done	17	83

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 27.0) y)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

18.0ms

(* (* x 27.0) y)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* (* x 27.0) y)

simplify2.0s

Counts

23 → 23

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	42	3355
1	106	3104
2	365	2864
3	1496	2864
done	5002	2864

prune118.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* x (* 27.0 y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

26.0ms

(* x (* 27.0 y))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* x (* 27.0 y))

simplify8.3s

Counts

23 → 23

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	39	3315
1	92	3105
2	301	2865
3	957	2865
4	1956	2865
5	3937	2865
done	5001	2865

prune64.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 27.0 (* x y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

15.0ms

(* 27.0 (* x y))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* 27.0 (* x y))

simplify9.1s

Counts

23 → 23

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	37	3315
1	87	3105
2	272	2865
3	832	2865
4	1934	2865
5	4394	2865
done	5001	2865

prune90.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 27.0) (* (sqrt 27.0) (* x y)))
0.3b	(* (sqrt 27.0) (* x y))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`associate-l`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
2×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

2 → 49

Calls

2 calls:

70.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* x y)))
19.0ms	(* (sqrt 27.0) (* x y))

series199.0ms

Counts

2 → 6

Calls

2 calls:

134.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* x y)))
65.0ms	(* (sqrt 27.0) (* x y))

simplify5.2s

Counts

55 → 55

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	66	11669
1	164	8786
2	717	8626
3	3744	8306
done	5015	8306

prune216.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes387.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	83
1	7	83
done	7	83

end0.0ms

sample520.0ms

Algorithm

intervals

Results

306.0ms

9150×

body

valid