Details

sample1.3s

Algorithm

intervals

Results

524.0ms	3587×	body	80	nan
523.0ms	152×	body	640	valid
18.0ms	58×	body	320	valid
4.0ms	18×	body	160	valid
3.0ms	24×	body	80	valid
2.0ms	4×	body	1280	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
3	897
2	155
1	51
0	24

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize73.0ms

Local error

Found 4 expressions with local error:

2.1b	(- (sqrt (+ y 1.0)) (sqrt y))
2.8b	(- (sqrt (+ t 1.0)) (sqrt t))
2.8b	(- (sqrt (+ x 1.0)) (sqrt x))
4.2b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite247.0ms

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:

52.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
44.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
52.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
87.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series399.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
90.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
95.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
93.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify1.4s

Counts

292 → 292

Iterations

Iter	Nodes
done	5000
2	3339
1	1010
0	443

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.9b

localize82.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 (- x x)) (+ (sqrt (+ x 1.0)) (sqrt x)))
2.1b	(- (sqrt (+ y 1.0)) (sqrt y))
2.8b	(- (sqrt (+ t 1.0)) (sqrt t))
4.2b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

241×	`*-un-lft-identity`
195×	`sqrt-prod`
126×	`prod-diff`
125×	`add-sqr-sqrt`
101×	`add-cube-cbrt`
62×	`distribute-lft-out`
30×	`times-frac`
21×	`fma-neg`
16×	`distribute-lft-out--`
12×	`difference-of-squares`
10×	`add-log-exp`
6×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
5×	`associate-/l*`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `associate-+r-` `frac-2neg` `div-sub` `div-exp` `div-inv`

Counts

4 → 270

Calls

4 calls:

137.0ms	(/ (+ 1.0 (- x x)) (+ (sqrt (+ x 1.0)) (sqrt x)))
67.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
55.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
57.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series514.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(/ (+ 1.0 (- x x)) (+ (sqrt (+ x 1.0)) (sqrt x)))
91.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
111.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
121.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify1.9s

Counts

282 → 282

Iterations

Iter	Nodes
done	5000
2	4205
1	1071
0	453

prune1.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.8b

localize68.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 (- x x)) (+ (sqrt (+ x 1.0)) (sqrt x)))
0.2b	(/ (+ 1.0 (- z z)) (+ (sqrt z) (sqrt (+ 1.0 z))))
2.1b	(- (sqrt (+ y 1.0)) (sqrt y))
2.8b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

282×	`*-un-lft-identity`
162×	`sqrt-prod`
102×	`add-sqr-sqrt`
92×	`distribute-lft-out`
86×	`add-cube-cbrt`
84×	`prod-diff`
60×	`times-frac`
20×	`distribute-lft-out--`
14×	`fma-neg`
12×	`associate-/r*`
10×	`associate-/l*`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp` `difference-of-squares`
4×	`expm1-log1p-u` `pow1` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u` `associate-/l/`
2×	`cbrt-undiv` `clear-num` `associate-+r-` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-sub` `div-exp` `div-inv` `flip--`

Counts

4 → 260

Calls

4 calls:

95.0ms	(/ (+ 1.0 (- x x)) (+ (sqrt (+ x 1.0)) (sqrt x)))
98.0ms	(/ (+ 1.0 (- z z)) (+ (sqrt z) (sqrt (+ 1.0 z))))
41.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
60.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series669.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(/ (+ 1.0 (- x x)) (+ (sqrt (+ x 1.0)) (sqrt x)))
234.0ms	(/ (+ 1.0 (- z z)) (+ (sqrt z) (sqrt (+ 1.0 z))))
92.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
123.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify2.2s

Counts

272 → 272

Iterations

Iter	Nodes
done	5000
2	4753
1	1100
0	450

prune2.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.8b

localize89.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 (- x x)) (+ (sqrt (+ x 1.0)) (sqrt x)))
0.2b	(/ (+ 1.0 (- z z)) (+ (sqrt z) (sqrt (+ 1.0 z))))
2.1b	(- (sqrt (+ y 1.0)) (sqrt y))
2.2b	(- (+ t 1.0) t)

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

254×	`*-un-lft-identity`
105×	`sqrt-prod`
89×	`distribute-lft-out`
76×	`add-sqr-sqrt`
66×	`add-cube-cbrt`
60×	`times-frac`
54×	`prod-diff`
19×	`distribute-lft-out--`
12×	`associate-/r*`
11×	`fma-neg` `add-log-exp`
10×	`associate-/l*`
8×	`add-cbrt-cube` `add-exp-log`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `pow1` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u` `associate-/l/`
3×	`diff-log`
2×	`cbrt-undiv` `clear-num` `associate-+r-` `sub-neg` `frac-2neg` `flip3--` `div-sub` `div-exp` `div-inv` `flip--`
1×	`sum-log` `associate--l+`

Counts

4 → 225

Calls

4 calls:

88.0ms	(/ (+ 1.0 (- x x)) (+ (sqrt (+ x 1.0)) (sqrt x)))
99.0ms	(/ (+ 1.0 (- z z)) (+ (sqrt z) (sqrt (+ 1.0 z))))
53.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
48.0ms	(- (+ t 1.0) t)

series490.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(/ (+ 1.0 (- x x)) (+ (sqrt (+ x 1.0)) (sqrt x)))
180.0ms	(/ (+ 1.0 (- z z)) (+ (sqrt z) (sqrt (+ 1.0 z))))
84.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
2.0ms	(- (+ t 1.0) t)

simplify2.0s

Counts

237 → 237

Iterations

Iter	Nodes
done	5000
2	4370
1	982
0	400

prune1.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.0b

regimes1.6s

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	43
1	43
0	31

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.2s	9979×	body	80	nan
269.0ms	441×	body	640	valid
57.0ms	148×	body	320	valid
11.0ms	44×	body	160	valid
7.0ms	57×	body	80	valid
4.0ms	8×	body	1280	valid