Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

336×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	82
1	6	82
2	9	82
done	9	82

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite14.0ms

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:

13.0ms

(* (* x 3.0) x)

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* (* x 3.0) x)

simplify801.0ms

Counts

23 → 23

Iterations

Useful iterations: done (799.0ms)

Iter	Nodes	Cost
0	39	3698
1	101	3004
2	711	3004
done	5000	2924

prune108.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) 3.0)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

24.0ms

(* (* x x) 3.0)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* (* x x) 3.0)

simplify864.0ms

Counts

24 → 24

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	39	3861
1	106	3127
2	736	2967
done	5000	2967

prune76.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (* x x) (sqrt 3.0)) (sqrt 3.0))
0.3b	(* (* x x) (sqrt 3.0))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

79.0ms	(* (* (* x x) (sqrt 3.0)) (sqrt 3.0))
32.0ms	(* (* x x) (sqrt 3.0))

series122.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* (* (* x x) (sqrt 3.0)) (sqrt 3.0))
48.0ms	(* (* x x) (sqrt 3.0))

simplify1.1s

Counts

57 → 57

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	69	12991
1	196	9021
2	1480	8901
done	5001	8661

prune155.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (cbrt (sqrt 3.0)))
0.2b	(* (* (* (* x (cbrt (sqrt 3.0))) (* x (cbrt (sqrt 3.0)))) (sqrt 3.0)) (cbrt (sqrt 3.0)))
0.3b	(* (* (* x (cbrt (sqrt 3.0))) (* x (cbrt (sqrt 3.0)))) (sqrt 3.0))
0.3b	(* (* x (cbrt (sqrt 3.0))) (* x (cbrt (sqrt 3.0))))

rewrite622.0ms

Algorithm

rewrite-expression-head

Rules

88×	`pow1`
61×	`add-exp-log`
50×	`pow-prod-down`
42×	`add-cbrt-cube`
41×	`prod-exp` `cbrt-unprod`
25×	`associate-r`
21×	`add-sqr-sqrt`
14×	`cbrt-prod`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`sqrt-prod`
6×	`associate-l`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `pow-sqr` `*-commutative` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 136

Calls

4 calls:

9.0ms	(* x (cbrt (sqrt 3.0)))
440.0ms	(* (* (* (* x (cbrt (sqrt 3.0))) (* x (cbrt (sqrt 3.0)))) (sqrt 3.0)) (cbrt (sqrt 3.0)))
137.0ms	(* (* (* x (cbrt (sqrt 3.0))) (* x (cbrt (sqrt 3.0)))) (sqrt 3.0))
32.0ms	(* (* x (cbrt (sqrt 3.0))) (* x (cbrt (sqrt 3.0))))

series1.3s

Counts

4 → 12

Calls

4 calls:

382.0ms	(* x (cbrt (sqrt 3.0)))
107.0ms	(* (* (* (* x (cbrt (sqrt 3.0))) (* x (cbrt (sqrt 3.0)))) (sqrt 3.0)) (cbrt (sqrt 3.0)))
452.0ms	(* (* (* x (cbrt (sqrt 3.0))) (* x (cbrt (sqrt 3.0)))) (sqrt 3.0))
343.0ms	(* (* x (cbrt (sqrt 3.0))) (* x (cbrt (sqrt 3.0))))

simplify3.1s

Counts

148 → 148

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	144	46255
1	413	37915
2	3201	37915
done	5001	37475

prune432.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	82
1	6	82
done	6	82

end0.0ms

sample374.0ms

Algorithm

intervals

Results

227.0ms

10677×

body

valid