Details

sample1.5s

Algorithm

intervals

Results

1.2s	3738×	body	80	nan
136.0ms	176×	body	640	valid
21.0ms	47×	body	320	valid
3.0ms	4×	body	1280	valid
3.0ms	20×	body	80	valid
3.0ms	9×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize101.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (sqrt (+ y 1.0)) (sqrt y))
3.1b	(- (sqrt (+ z 1.0)) (sqrt z))
3.5b	(- (sqrt (+ t 1.0)) (sqrt t))
4.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite189.0ms

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:

42.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
39.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
48.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
51.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series369.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
101.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
92.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
88.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.0s

Counts

296 → 296

Iterations

Iter	Nodes
done	5002
2	2352
1	1011
0	447

prune1.6s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.1b

localize97.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (sqrt (+ y 1.0)) (sqrt y))
2.9b	(- (+ 1.0 x) x)
3.1b	(- (sqrt (+ z 1.0)) (sqrt z))
3.5b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite228.0ms

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:

36.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
41.0ms	(- (+ 1.0 x) x)
64.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
78.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series301.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
2.0ms	(- (+ 1.0 x) x)
98.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
117.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify2.0s

Counts

261 → 261

Iterations

Iter	Nodes
done	5000
2	2178
1	899
0	397

prune1.7s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.5b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))
1.8b	(- (sqrt (+ y 1.0)) (sqrt y))
3.1b	(- (sqrt (+ z 1.0)) (sqrt z))
3.5b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite143.0ms

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:

23.0ms	(/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))
32.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
51.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
33.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series569.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))
130.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
106.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
114.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify2.2s

Counts

269 → 269

Iterations

Iter	Nodes
done	5000
2	2520
1	1021
0	443

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.5b

localize90.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))
1.8b	(- (sqrt (+ y 1.0)) (sqrt y))
2.2b	(- (+ 1.0 t) t)
3.1b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite163.0ms

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:

26.0ms	(/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))
41.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
42.0ms	(- (+ 1.0 t) t)
47.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series419.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(/ 1.0 (+ (sqrt x) (sqrt (+ 1.0 x))))
122.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
2.0ms	(- (+ 1.0 t) t)
105.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify1.9s

Counts

234 → 234

Iterations

Iter	Nodes
done	5002
2	2353
1	909
0	393

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.9b

regimes1.1s

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	37
1	37
0	28

end0.0ms

sample2.7s

Algorithm

intervals

Results

2.0s	7923×	body	80	nan
276.0ms	359×	body	640	valid
45.0ms	91×	body	320	valid
8.0ms	25×	body	160	valid
6.0ms	40×	body	80	valid
6.0ms	7×	body	1280	valid