Details

sample1.5s

Algorithm

intervals

Results

1.0s	3976×	body	80	nan
133.0ms	163×	body	640	valid
25.0ms	60×	body	320	valid
4.0ms	6×	body	1280	valid
3.0ms	13×	body	160	valid
2.0ms	14×	body	80	valid

simplify1.3s

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize78.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (sqrt (+ t 1.0)) (sqrt t))
2.5b	(- (sqrt (+ z 1.0)) (sqrt z))
2.6b	(- (sqrt (+ 1.0 y)) (sqrt y))
3.0b	(- (sqrt (+ 1.0 x)) (sqrt x))

rewrite283.0ms

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:

53.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
55.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
79.0ms	(- (sqrt (+ 1.0 y)) (sqrt y))
72.0ms	(- (sqrt (+ 1.0 x)) (sqrt x))

series426.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
99.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
117.0ms	(- (sqrt (+ 1.0 y)) (sqrt y))
110.0ms	(- (sqrt (+ 1.0 x)) (sqrt x))

simplify1.6s

Counts

292 → 292

Iterations

Iter	Nodes
done	5000
2	3335
1	1010
0	443

prune1.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.3b

localize97.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 (- z z)) (+ (sqrt z) (sqrt (+ 1.0 z))))
1.8b	(- (sqrt (+ t 1.0)) (sqrt t))
2.6b	(- (sqrt (+ 1.0 y)) (sqrt y))
3.0b	(- (sqrt (+ 1.0 x)) (sqrt x))

rewrite230.0ms

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:

76.0ms	(/ (+ 1.0 (- z z)) (+ (sqrt z) (sqrt (+ 1.0 z))))
47.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
41.0ms	(- (sqrt (+ 1.0 y)) (sqrt y))
54.0ms	(- (sqrt (+ 1.0 x)) (sqrt x))

series491.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(/ (+ 1.0 (- z z)) (+ (sqrt z) (sqrt (+ 1.0 z))))
103.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
95.0ms	(- (sqrt (+ 1.0 y)) (sqrt y))
105.0ms	(- (sqrt (+ 1.0 x)) (sqrt x))

simplify1.8s

Counts

282 → 282

Iterations

Iter	Nodes
done	5000
2	4228
1	1071
0	452

prune1.9s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.8b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 (- y y)) (+ (sqrt (+ 1.0 y)) (sqrt y)))
0.2b	(/ (+ 1.0 (- z z)) (+ (sqrt z) (sqrt (+ 1.0 z))))
1.8b	(- (sqrt (+ t 1.0)) (sqrt t))
3.0b	(- (sqrt (+ 1.0 x)) (sqrt x))

rewrite364.0ms

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:

120.0ms	(/ (+ 1.0 (- y y)) (+ (sqrt (+ 1.0 y)) (sqrt y)))
98.0ms	(/ (+ 1.0 (- z z)) (+ (sqrt z) (sqrt (+ 1.0 z))))
62.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
73.0ms	(- (sqrt (+ 1.0 x)) (sqrt x))

series605.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(/ (+ 1.0 (- y y)) (+ (sqrt (+ 1.0 y)) (sqrt y)))
202.0ms	(/ (+ 1.0 (- z z)) (+ (sqrt z) (sqrt (+ 1.0 z))))
117.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
93.0ms	(- (sqrt (+ 1.0 x)) (sqrt x))

simplify2.1s

Counts

272 → 272

Iterations

Iter	Nodes
done	5000
2	4697
1	1091
0	447

prune2.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 1.7b

localize119.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 (- y y)) (+ (sqrt (+ 1.0 y)) (sqrt y)))
0.2b	(/ (+ 1.0 (- z z)) (+ (sqrt z) (sqrt (+ 1.0 z))))
1.2b	(- (+ 1.0 t) t)
3.0b	(- (sqrt (+ 1.0 x)) (sqrt x))

rewrite315.0ms

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:

92.0ms	(/ (+ 1.0 (- y y)) (+ (sqrt (+ 1.0 y)) (sqrt y)))
90.0ms	(/ (+ 1.0 (- z z)) (+ (sqrt z) (sqrt (+ 1.0 z))))
40.0ms	(- (+ 1.0 t) t)
80.0ms	(- (sqrt (+ 1.0 x)) (sqrt x))

series506.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(/ (+ 1.0 (- y y)) (+ (sqrt (+ 1.0 y)) (sqrt y)))
205.0ms	(/ (+ 1.0 (- z z)) (+ (sqrt z) (sqrt (+ 1.0 z))))
2.0ms	(- (+ 1.0 t) t)
89.0ms	(- (sqrt (+ 1.0 x)) (sqrt x))

simplify2.1s

Counts

237 → 237

Iterations

Iter	Nodes
done	5000
2	4491
1	984
0	397

prune1.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

regimes695.0ms

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	45
1	45
0	33

end0.0ms

sample943.0ms

Algorithm

intervals

Results

570.0ms	3438×	body	80	nan
107.0ms	137×	body	640	valid
17.0ms	48×	body	320	valid
4.0ms	5×	body	1280	valid
3.0ms	14×	body	160	valid
2.0ms	16×	body	80	valid