Details

sample2.6s

Algorithm

intervals

Results

1.9s	100×	body	10240	exit
227.0ms	52×	body	1280	nan
157.0ms	261×	body	80	valid
80.0ms	24×	body	320	nan
76.0ms	32×	body	640	nan
10.0ms	9×	body	160	nan
2.0ms	3×	body	80	nan

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	2003
3	2003
2	623
1	155
0	60

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize242.0ms

Local error

Found 4 expressions with local error:

5.4b	(- (- 1 z) 1)
5.4b	(- (- 1 z) 1)
5.4b	(- (- 1 z) 1)
5.4b	(- (- 1 z) 1)

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
24×	`add-log-exp`
20×	`add-sqr-sqrt`
12×	`diff-log` `distribute-lft-out--`
8×	`sub-neg` `associate--l+` `difference-of-squares`
4×	`associate--l-` `pow1` `flip3--` `add-cbrt-cube` `difference-of-sqr-1` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--`

Counts

4 → 88

Calls

4 calls:

27.0ms	(- (- 1 z) 1)
26.0ms	(- (- 1 z) 1)
28.0ms	(- (- 1 z) 1)
45.0ms	(- (- 1 z) 1)

series60.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (- 1 z) 1)
13.0ms	(- (- 1 z) 1)
15.0ms	(- (- 1 z) 1)
14.0ms	(- (- 1 z) 1)

simplify1.4s

Counts

100 → 100

Iterations

Iter	Nodes
done	2003
5	2003
4	1172
3	495
2	217
1	90
0	41

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize247.0ms

Local error

Found 4 expressions with local error:

5.4b	(- (- 1 z) 1)
5.4b	(- (- 1 z) 1)
5.4b	(- (- 1 z) 1)
5.5b	(- (sqrt (- 1 z)) 1)

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
21×	`add-log-exp`
13×	`distribute-lft-out--`
10×	`diff-log` `difference-of-squares`
7×	`sub-neg`
6×	`associate--l+`
5×	`difference-of-sqr-1` `sqrt-prod`
4×	`pow1` `flip3--` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--`
3×	`associate--l-`

Counts

4 → 88

Calls

4 calls:

51.0ms	(- (- 1 z) 1)
51.0ms	(- (- 1 z) 1)
40.0ms	(- (- 1 z) 1)
38.0ms	(- (sqrt (- 1 z)) 1)

series132.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (- 1 z) 1)
27.0ms	(- (- 1 z) 1)
22.0ms	(- (- 1 z) 1)
61.0ms	(- (sqrt (- 1 z)) 1)

simplify1.2s

Counts

100 → 100

Iterations

Iter	Nodes
done	2010
4	2010
3	1284
2	515
1	193
0	85

prune2.1s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize265.0ms

Local error

Found 4 expressions with local error:

5.4b	(- (- 1 z) 1)
5.4b	(- (- 1 z) 1)
5.4b	(- (- 1 z) 1)
5.5b	(- (sqrt (sqrt (- 1 z))) 1)

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
21×	`add-log-exp`
12×	`difference-of-squares`
11×	`distribute-lft-out--`
10×	`diff-log` `sqrt-prod`
7×	`sub-neg`
6×	`difference-of-sqr-1` `associate--l+`
4×	`pow1` `flip3--` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--`
3×	`associate--l-`

Counts

4 → 90

Calls

4 calls:

34.0ms	(- (- 1 z) 1)
55.0ms	(- (- 1 z) 1)
55.0ms	(- (- 1 z) 1)
64.0ms	(- (sqrt (sqrt (- 1 z))) 1)

series114.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (- 1 z) 1)
20.0ms	(- (- 1 z) 1)
21.0ms	(- (- 1 z) 1)
53.0ms	(- (sqrt (sqrt (- 1 z))) 1)

simplify1.3s

Counts

102 → 102

Iterations

Iter	Nodes
done	2001
3	2001
2	625
1	245
0	106

prune1.9s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 1.8b

simplify61.0ms

Iterations

Iter	Nodes
done	108
3	108
2	106
1	100
0	67

end0.0ms

sample1.8m

Algorithm

intervals

Results

1.4m	4023×	body	10240	exit
7.3s	1513×	body	1280	nan
6.3s	8095×	body	80	valid
4.5s	1219×	body	640	nan
1.5s	623×	body	320	nan
886.0ms	296×	body	160	nan
224.0ms	279×	body	80	nan