Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

342×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	5
1	6	5
2	9	5
done	9	5

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

7.0ms

(* (* x 3.0) x)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* (* x 3.0) x)

simplify3.7s

Counts

23 → 23

Iterations

Useful iterations: 4 (2.0s)

Iter	Nodes	Cost
0	39	169
1	92	164
2	349	134
3	1185	134
4	2800	133
done	5000	133

prune44.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (pow x 2) 3.0)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-l`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-r` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

6.0ms

(* (pow x 2) 3.0)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* (pow x 2) 3.0)

simplify3.2s

Counts

32 → 32

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	51	241
1	104	222
2	345	189
3	1079	189
4	4085	189
done	5000	189

prune57.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (pow x 2) (sqrt 3.0)) (sqrt 3.0))
0.3b	(* (pow x 2) (sqrt 3.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`add-exp-log`
12×	`associate-r`
10×	`prod-exp` `sqrt-prod`
9×	`associate-l` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity` `unswap-sqr`
5×	`unpow-prod-down`
4×	`pow1` `cbrt-unprod`
3×	`unpow2` `sqr-pow`
2×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down`

Counts

2 → 60

Calls

2 calls:

14.0ms	(* (* (pow x 2) (sqrt 3.0)) (sqrt 3.0))
8.0ms	(* (pow x 2) (sqrt 3.0))

series112.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* (* (pow x 2) (sqrt 3.0)) (sqrt 3.0))
45.0ms	(* (pow x 2) (sqrt 3.0))

simplify1.8s

Counts

66 → 66

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	79	691
1	182	530
2	654	461
3	2266	461
done	5000	461

prune102.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (pow x 2) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))
0.2b	(* (* (* (pow x 2) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0))) (sqrt 3.0))
0.3b	(* (pow x 2) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
1.0b	(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-exp-log`
50×	`prod-exp`
47×	`add-sqr-sqrt`
46×	`cbrt-prod`
26×	`sqrt-prod`
25×	`associate-r`
23×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube` `cbrt-unprod`
19×	`associate-l`
18×	`pow1`
13×	`unswap-sqr`
11×	`swap-sqr`
7×	`pow-prod-down`
6×	`pow-to-exp` `pow1/3` `pow-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-sqr` `pow-prod-up` `unpow2` `sqr-pow`
1×	`pow-plus`

Counts

4 → 152

Calls

4 calls:

50.0ms	(* (* (pow x 2) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))
181.0ms	(* (* (* (pow x 2) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0))) (sqrt 3.0))
16.0ms	(* (pow x 2) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
11.0ms	(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

series401.0ms

Counts

4 → 10

Calls

4 calls:

47.0ms	(* (* (pow x 2) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))
74.0ms	(* (* (* (pow x 2) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0))) (sqrt 3.0))
280.0ms	(* (pow x 2) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
0.0ms	(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

simplify846.0ms

Counts

162 → 162

Iterations

Useful iterations: 2 (233.0ms)

Iter	Nodes	Cost
0	161	2509
1	382	2226
2	1439	1694
done	5001	1694

prune336.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes54.0ms

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	5
1	6	5
done	6	5

end0.0ms

sample266.0ms

Algorithm

intervals

Results

149.0ms

10727×

body

valid