Details

sample919.0ms

Algorithm

intervals

Results

577.0ms	3368×	body	80	nan
147.0ms	172×	body	640	valid
18.0ms	47×	body	320	valid
4.0ms	17×	body	160	valid
2.0ms	19×	body	80	valid
1.0ms	1×	body	1280	valid

simplify5.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	765
1	51	765
2	154	765
3	799	765
4	4694	765
done	5010	765

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize70.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (sqrt (+ y 1.0)) (sqrt y))
3.0b	(- (sqrt (+ t 1.0)) (sqrt t))
3.4b	(- (sqrt (+ z 1.0)) (sqrt z))
3.7b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

228×	`sqrt-prod`
200×	`*-un-lft-identity`
168×	`prod-diff`
148×	`add-sqr-sqrt`
116×	`add-cube-cbrt`
32×	`distribute-lft-out`
28×	`fma-neg`
16×	`difference-of-squares`
12×	`distribute-lft-out--` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u` `flip--`

Counts

4 → 280

Calls

4 calls:

68.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
64.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
55.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
82.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series633.0ms

Counts

4 → 12

Calls

4 calls:

378.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
85.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
75.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
95.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.6s

Counts

292 → 292

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	443	141364
1	1007	113437
2	2358	89431
done	5002	89239

prune1.9s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.1b

localize111.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (sqrt (+ y 1.0)) (sqrt y))
2.9b	(- (+ 1.0 x) x)
3.0b	(- (sqrt (+ t 1.0)) (sqrt t))
3.4b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

172×	`*-un-lft-identity`
171×	`sqrt-prod`
138×	`prod-diff`
122×	`add-sqr-sqrt`
96×	`add-cube-cbrt`
29×	`distribute-lft-out`
25×	`fma-neg`
15×	`add-log-exp`
13×	`difference-of-squares`
11×	`distribute-lft-out--`
5×	`diff-log`
4×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `flip--`
1×	`sum-log` `associate--l+`

Counts

4 → 245

Calls

4 calls:

80.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
67.0ms	(- (+ 1.0 x) x)
78.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
62.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series288.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
1.0ms	(- (+ 1.0 x) x)
92.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
116.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify379.0ms

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	393	115140