Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

365×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	82
1	6	82
2	8	82
3	9	82
done	9	82

prune3.0ms

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)

rewrite15.0ms

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×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

14.0ms

(* (* x 3.0) x)

series51.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* (* x 3.0) x)

simplify2.0s

Counts

21 → 21

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	37	3374
1	97	2680
2	315	2520
3	1120	2520
done	5001	2520

prune79.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) 3.0)

rewrite17.0ms

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×	`associate-l` `*-commutative` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

16.0ms

(* (* x x) 3.0)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(* (* x x) 3.0)

simplify2.1s

Counts

22 → 22

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	37	3537
1	102	2803
2	334	2643
3	1296	2643
done	5003	2643

prune88.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.4b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
21.2b	(sqrt (* (* x 3.0) x))
21.2b	(sqrt (* (* x 3.0) x))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `pow-sqr`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

21.0ms	(* (* x 3.0) x)
117.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
22.0ms	(sqrt (* (* x 3.0) x))
18.0ms	(sqrt (* (* x 3.0) x))

series260.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* x 3.0) x)
114.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
68.0ms	(sqrt (* (* x 3.0) x))
38.0ms	(sqrt (* (* x 3.0) x))

simplify2.9s

Counts

120 → 120

Iterations

Useful iterations: 3 (886.0ms)

Iter	Nodes	Cost
0	82	17851
1	210	12173
2	605	11893
3	1935	11693
done	5004	11693

prune402.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.4b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x x) 3.0)))
21.2b	(sqrt (* (* x 3.0) x))
21.2b	(sqrt (* (* x x) 3.0))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
38×	`pow-prod-down`
24×	`sqrt-pow1`
11×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
7×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`associate-l`
4×	`pow1/2` `prod-exp` `sqrt-prod` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`sqrt-unprod` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

28.0ms	(* (* x 3.0) x)
100.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x x) 3.0)))
13.0ms	(sqrt (* (* x 3.0) x))
11.0ms	(sqrt (* (* x x) 3.0))

series274.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* x 3.0) x)
112.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x x) 3.0)))
52.0ms	(sqrt (* (* x 3.0) x))
68.0ms	(sqrt (* (* x x) 3.0))

simplify71.0ms

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	81	17525