Details

sample1.3s

Algorithm

intervals

Results

616.0ms	3899×	body	80	nan
348.0ms	8×	body	160	valid
121.0ms	160×	body	640	valid
20.0ms	60×	body	320	valid
3.0ms	23×	body	80	valid
3.0ms	5×	body	1280	valid

simplify3.2s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

localize53.0ms

Local error

Found 4 expressions with local error:

1.3b	(- (sqrt (+ z 1.0)) (sqrt z))
2.3b	(- (sqrt (+ x 1.0)) (sqrt x))
2.5b	(- (sqrt (+ t 1.0)) (sqrt t))
3.2b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite280.0ms

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:

65.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
61.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
59.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
80.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series433.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
98.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
106.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
119.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify2.1s

Counts

292 → 292

Iterations

Iter	Nodes
done	5004
2	2358
1	1007
0	443

prune1.8s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.8b

localize67.0ms

Local error

Found 4 expressions with local error:

1.3b	(- (sqrt (+ z 1.0)) (sqrt z))
1.7b	(- (+ 1.0 x) x)
2.5b	(- (sqrt (+ t 1.0)) (sqrt t))
3.2b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite246.0ms

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:

58.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
67.0ms	(- (+ 1.0 x) x)
51.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
49.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series317.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
1.0ms	(- (+ 1.0 x) x)
111.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
106.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify1.8s

Counts

257 → 257

Iterations

Iter	Nodes
done	5001
2	2158
1	895
0	393

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.1b

localize80.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))
1.3b	(- (sqrt (+ z 1.0)) (sqrt z))
2.5b	(- (sqrt (+ t 1.0)) (sqrt t))
3.2b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite225.0ms

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×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l*`
2×	`associate-/r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 253

Calls

4 calls:

30.0ms	(/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))
49.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
67.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
69.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series520.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))
109.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
108.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
106.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify1.9s

Counts

265 → 265

Iterations

Iter	Nodes
done	5004
2	2556
1	1017
0	439

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.1b

localize73.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))
1.3b	(- (sqrt (+ z 1.0)) (sqrt z))
2.4b	(- (+ y 1.0) y)
2.5b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite184.0ms

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×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `diff-log` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `flip--` `associate-/l*`
2×	`associate-/r/`
1×	`cbrt-undiv` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `associate--l+` `flip-+` `div-inv`

Counts

4 → 218

Calls

4 calls:

31.0ms	(/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))
47.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
44.0ms	(- (+ y 1.0) y)
51.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series444.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))
105.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
2.0ms	(- (+ y 1.0) y)
113.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify2.3s

Counts

230 → 230

Iterations

Iter	Nodes
done	5007
2	2398
1	902
0	388

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.9b

regimes1.1s

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	35
1	35
0	26

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.9s	14864×	body	80	nan
668.0ms	640×	body	640	valid
73.0ms	204×	body	320	valid
48.0ms	79×	body	80	valid
14.0ms	60×	body	160	valid
10.0ms	16×	body	1280	valid