Details

sample457.0ms

Algorithm

intervals

Results

269.0ms	4141×	body	80	nan
46.0ms	177×	body	640	valid
10.0ms	50×	body	320	valid
2.0ms	13×	body	160	valid
1.0ms	14×	body	80	valid
1.0ms	2×	body	1280	valid

simplify263.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	31
1	51	31
2	154	31
3	879	31
done	5000	31

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize24.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (sqrt (+ x 1.0)) (sqrt x))
2.9b	(- (sqrt (+ z 1.0)) (sqrt z))
4.3b	(- (sqrt (+ t 1.0)) (sqrt t))
4.9b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite124.0ms

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×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

4 → 280

Calls

4 calls:

28.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
27.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
26.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
29.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series277.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
70.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
71.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
71.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify1.0s

Counts

292 → 292

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	437	7222
1	967	5211
2	2788	3879
done	5000	3871

prune808.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.7b

localize26.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (sqrt (+ x 1.0)) (sqrt x))
2.9b	(- (sqrt (+ z 1.0)) (sqrt z))
3.7b	(- (+ y 1.0) y)
4.3b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite117.0ms

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×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`
1×	`associate--l+` `sum-log`

Counts

4 → 245

Calls

4 calls:

27.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
26.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
23.0ms	(- (+ y 1.0) y)
26.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series207.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
71.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
1.0ms	(- (+ y 1.0) y)
66.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify958.0ms

Counts

257 → 257

Iterations

Useful iterations: done (950.0ms)

Iter	Nodes	Cost
0	389	5903
1	861	4281
2	2561	3193
done	5000	3187

prune786.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
2.8b	(- (sqrt (+ x 1.0)) (sqrt x))
2.9b	(- (sqrt (+ z 1.0)) (sqrt z))
4.3b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

190×	`*-un-lft-identity`
187×	`sqrt-prod`
126×	`prod-diff`
123×	`add-sqr-sqrt`
99×	`add-cube-cbrt`
40×	`distribute-lft-out`
21×	`fma-neg`
18×	`times-frac`
12×	`difference-of-squares`
10×	`add-log-exp`
9×	`distribute-lft-out--`
6×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l*`
2×	`associate-/r/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 253

Calls

4 calls:

25.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
26.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
29.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
26.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series346.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
69.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
64.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
72.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify1.1s

Counts

265 → 265

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	433	6152
1	979	4601
2	3064	3529
done	5001	3521

prune872.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.6b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
2.2b	(- (+ 1.0 z) z)
2.8b	(- (sqrt (+ x 1.0)) (sqrt x))
4.3b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

162×	`*-un-lft-identity`
130×	`sqrt-prod`
97×	`add-sqr-sqrt`
96×	`prod-diff`
79×	`add-cube-cbrt`
37×	`distribute-lft-out`
18×	`times-frac` `fma-neg`
13×	`add-log-exp`
9×	`difference-of-squares`
8×	`distribute-lft-out--`
6×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `diff-log` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `flip--` `associate-/l*`
2×	`associate-/r/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `associate--l+` `clear-num` `sum-log` `flip-+` `div-inv`

Counts

4 → 218

Calls

4 calls:

23.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
21.0ms	(- (+ 1.0 z) z)
30.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
26.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series490.0ms

Counts

4 → 12

Calls

4 calls:

347.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
1.0ms	(- (+ 1.0 z) z)
70.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
72.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify1.1s

Counts

230 → 230

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	383	4831
1	869	3634
2	2820	2722
done	5001	2716

prune743.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.9b

regimes607.0ms

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	28	37
1	40	35
2	50	35
done	50	35

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.4s	21971×	body	80	nan
255.0ms	954×	body	640	valid
63.0ms	300×	body	320	valid
13.0ms	92×	body	160	valid
9.0ms	23×	body	1280	valid
8.0ms	123×	body	80	valid