Details

sample1.1s

Algorithm

intervals

Results

712.0ms	3650×	body	80	nan
211.0ms	171×	body	640	valid
54.0ms	47×	body	320	valid
5.0ms	15×	body	160	valid
4.0ms	20×	body	80	valid
3.0ms	3×	body	1280	valid

simplify597.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
3	799
2	154
1	51
0	24

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize62.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (sqrt (+ x 1.0)) (sqrt x))
3.3b	(- (sqrt (+ y 1.0)) (sqrt y))
3.6b	(- (sqrt (+ t 1.0)) (sqrt t))
4.7b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite139.0ms

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` `insert-posit16` `log1p-expm1-u` `flip--`

Counts

4 → 284

Calls

4 calls:

33.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
30.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
38.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
33.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series338.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
89.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
93.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
78.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify609.0ms

Counts

296 → 296

Iterations

Iter	Nodes
done	2000
1	1011
0	447

prune1.6s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 4.3b

localize91.0ms

Local error

Found 4 expressions with local error:

1.9b	(- (+ 1.0 y) y)
2.6b	(- (sqrt (+ x 1.0)) (sqrt x))
3.6b	(- (sqrt (+ t 1.0)) (sqrt t))
4.7b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite155.0ms

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` `insert-posit16` `log1p-expm1-u` `flip--`
1×	`sum-log` `associate--l+`

Counts

4 → 249

Calls

4 calls:

26.0ms	(- (+ 1.0 y) y)
31.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
37.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
56.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series247.0ms

Counts

4 → 12

Calls

4 calls:

1.0ms	(- (+ 1.0 y) y)
71.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
92.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
82.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify549.0ms

Counts

261 → 261

Iterations

Iter	Nodes
done	2000
1	896
0	396

prune1.3s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.2b

localize77.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ 1.0 y)) (sqrt y)))
2.6b	(- (sqrt (+ x 1.0)) (sqrt x))
3.6b	(- (sqrt (+ t 1.0)) (sqrt t))
4.7b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite182.0ms

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` `insert-posit16` `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 → 257

Calls

4 calls:

28.0ms	(/ 1.0 (+ (sqrt (+ 1.0 y)) (sqrt y)))
47.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
51.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
51.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series443.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(/ 1.0 (+ (sqrt (+ 1.0 y)) (sqrt y)))
103.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
76.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
76.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify667.0ms

Counts

269 → 269

Iterations

Iter	Nodes
done	2000
1	1016
0	441

prune1.8s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.2b

localize74.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ 1.0 y)) (sqrt y)))
2.6b	(- (sqrt (+ x 1.0)) (sqrt x))
3.6b	(- (sqrt (+ t 1.0)) (sqrt t))
3.9b	(- (+ 1.0 z) z)

rewrite191.0ms

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` `insert-posit16` `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 → 222

Calls

4 calls:

35.0ms	(/ 1.0 (+ (sqrt (+ 1.0 y)) (sqrt y)))
63.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
39.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
47.0ms	(- (+ 1.0 z) z)

series380.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(/ 1.0 (+ (sqrt (+ 1.0 y)) (sqrt y)))
79.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
120.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
2.0ms	(- (+ 1.0 z) z)

simplify635.0ms

Counts

234 → 234

Iterations

Iter	Nodes
done	2000
1	908
0	392

prune1.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.5b

regimes1.3s

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	35
1	35
0	26

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.1s	7984×	body	80	nan
295.0ms	369×	body	640	valid
55.0ms	107×	body	320	valid
11.0ms	34×	body	160	valid
7.0ms	43×	body	80	valid
4.0ms	4×	body	1280	valid