Details

sample45.0ms

Algorithm

intervals

Results

20.0ms	290×	body	80	valid
2.0ms	9×	body	640	valid
1.0ms	4×	body	1280	valid
1.0ms	6×	body	320	valid
1.0ms	4×	body	160	valid

simplify44.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	9	11
1	18	9
2	34	7
3	51	7
4	59	7
done	59	7

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* d1 3.0) (* d1 d2))
0.0b	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
3×	`distribute-lft-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 26

Calls

2 calls:

8.0ms	(+ (* d1 3.0) (* d1 d2))
64.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))

series119.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ (* d1 3.0) (* d1 d2))
57.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))

simplify2.4s

Counts

32 → 32

Iterations

Useful iterations: 3 (986.0ms)

Iter	Nodes	Cost
0	56	445
1	187	343
2	758	289
3	3361	285
done	5000	285

prune95.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ (+ 3.0 d2) d3))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

101.0ms

(* d1 (+ (+ 3.0 d2) d3))

series38.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* d1 (+ (+ 3.0 d2) d3))

simplify1.9s

Counts

27 → 27

Iterations

Useful iterations: 2 (113.0ms)

Iter	Nodes	Cost
0	51	265
1	150	252
2	539	218
3	2806	218
done	5000	218

prune52.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ 3.0 d2) d3))
0.0b	(sqrt (+ (+ 3.0 d2) d3))
0.2b	(* d1 (sqrt (+ (+ 3.0 d2) d3)))
0.3b	(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

rewrite521.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

64.0ms	(sqrt (+ (+ 3.0 d2) d3))
66.0ms	(sqrt (+ (+ 3.0 d2) d3))
147.0ms	(* d1 (sqrt (+ (+ 3.0 d2) d3)))
240.0ms	(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

series99.0ms

Calls

1 calls:

46.0ms

(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))