Details

sample1.1s

Algorithm

intervals

Results

768.0ms	3695×	body	80	nan
140.0ms	156×	body	640	valid
31.0ms	63×	body	320	valid
6.0ms	18×	body	160	valid
4.0ms	4×	body	1280	valid
2.0ms	15×	body	80	valid

simplify3.1s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize73.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (sqrt (+ y 1.0)) (sqrt y))
2.8b	(- (sqrt (+ z 1.0)) (sqrt z))
3.1b	(- (sqrt (+ t 1.0)) (sqrt t))
4.8b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite192.0ms

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:

46.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
42.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
45.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
49.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series356.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
92.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
81.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
93.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.6s

Counts

296 → 296

Iterations

Iter	Nodes
done	5002
2	2352
1	1011
0	447

prune1.8s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.2b

localize76.0ms

Local error

Found 4 expressions with local error:

2.0b	(- (+ 1.0 t) t)
2.8b	(- (sqrt (+ y 1.0)) (sqrt y))
2.8b	(- (sqrt (+ z 1.0)) (sqrt z))
4.8b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite186.0ms

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:

40.0ms	(- (+ 1.0 t) t)
45.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
45.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
50.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series275.0ms

Counts

4 → 12

Calls

4 calls:

1.0ms	(- (+ 1.0 t) t)
95.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
89.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
90.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.7s

Counts

261 → 261

Iterations

Iter	Nodes
done	5001
2	2190
1	898
0	397

prune1.7s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.6b

localize97.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (posit16->real (real->posit16 1.0)) (+ (sqrt (+ 1.0 t)) (sqrt t)))
2.8b	(- (sqrt (+ y 1.0)) (sqrt y))
2.8b	(- (sqrt (+ z 1.0)) (sqrt z))
4.8b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite251.0ms

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:

53.0ms	(/ (posit16->real (real->posit16 1.0)) (+ (sqrt (+ 1.0 t)) (sqrt t)))
62.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
63.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
62.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series578.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(/ (posit16->real (real->posit16 1.0)) (+ (sqrt (+ 1.0 t)) (sqrt t)))
117.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
101.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
103.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.1s

Counts

269 → 269

Iterations

Iter	Nodes
done	5001
2	2507
1	1014
0	444

prune2.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.6b

localize108.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (posit16->real (real->posit16 1.0)) (+ (sqrt (+ 1.0 t)) (sqrt t)))
2.2b	(- (+ 1.0 z) z)
2.8b	(- (sqrt (+ y 1.0)) (sqrt y))
4.8b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite243.0ms

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:

49.0ms	(/ (posit16->real (real->posit16 1.0)) (+ (sqrt (+ 1.0 t)) (sqrt t)))
54.0ms	(- (+ 1.0 z) z)
61.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
71.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series428.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(/ (posit16->real (real->posit16 1.0)) (+ (sqrt (+ 1.0 t)) (sqrt t)))
1.0ms	(- (+ 1.0 z) z)
110.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
119.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.0s

Counts

234 → 234

Iterations

Iter	Nodes
done	5002
2	2328
1	905
0	395

prune2.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.5b

regimes2.0s

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	37
1	37
0	28

end0.0ms

sample11.2s

Algorithm

intervals

Results

8.4s	29330×	body	80	nan
1.3s	1310×	body	640	valid
283.0ms	412×	body	320	valid
90.0ms	132×	body	160	valid
59.0ms	165×	body	80	valid
31.0ms	30×	body	1280	valid