Details

sample1.4s

Algorithm

intervals

Results

797.0ms	3869×	body	80	nan
438.0ms	145×	body	640	valid
34.0ms	67×	body	320	valid
6.0ms	18×	body	160	valid
4.0ms	22×	body	80	valid
3.0ms	4×	body	1280	valid

simplify3.7s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize70.0ms

Local error

Found 4 expressions with local error:

2.5b	(- (sqrt (+ x 1.0)) (sqrt x))
3.0b	(- (sqrt (+ z 1.0)) (sqrt z))
3.7b	(- (sqrt (+ y 1.0)) (sqrt y))
4.2b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite205.0ms

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:

59.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
59.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
35.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
43.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series376.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
86.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
102.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
109.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify1.9s

Counts

296 → 296

Iterations

Iter	Nodes
done	5001
2	2352
1	1011
0	447

prune1.6s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 4.0b

localize62.0ms

Local error

Found 4 expressions with local error:

2.5b	(- (sqrt (+ x 1.0)) (sqrt x))
2.7b	(- (+ 1.0 y) y)
3.0b	(- (sqrt (+ z 1.0)) (sqrt z))
4.2b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite138.0ms

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:

31.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
26.0ms	(- (+ 1.0 y) y)
46.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
30.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series282.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
2.0ms	(- (+ 1.0 y) y)
88.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
91.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify1.9s

Counts

261 → 261

Iterations

Iter	Nodes
done	5001
2	2168
1	896
0	396

prune1.7s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.3b

localize92.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (posit16->real (real->posit16 1.0)) (+ (sqrt (+ 1.0 y)) (sqrt y)))
2.5b	(- (sqrt (+ x 1.0)) (sqrt x))
3.0b	(- (sqrt (+ z 1.0)) (sqrt z))
4.2b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite137.0ms

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:

25.0ms	(/ (posit16->real (real->posit16 1.0)) (+ (sqrt (+ 1.0 y)) (sqrt y)))
44.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
33.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
30.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series504.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(/ (posit16->real (real->posit16 1.0)) (+ (sqrt (+ 1.0 y)) (sqrt y)))
91.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
106.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
88.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify2.5s

Counts

269 → 269

Iterations

Iter	Nodes
done	5000
2	2515
1	1015
0	444

prune2.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.3b

localize118.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (posit16->real (real->posit16 1.0)) (+ (sqrt (+ 1.0 y)) (sqrt y)))
2.5b	(- (sqrt (+ x 1.0)) (sqrt x))
3.0b	(- (sqrt (+ z 1.0)) (sqrt z))
3.4b	(- (+ 1.0 t) t)

rewrite218.0ms

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:

45.0ms	(/ (posit16->real (real->posit16 1.0)) (+ (sqrt (+ 1.0 y)) (sqrt y)))
51.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
61.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
53.0ms	(- (+ 1.0 t) t)

series405.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(/ (posit16->real (real->posit16 1.0)) (+ (sqrt (+ 1.0 y)) (sqrt y)))
103.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
115.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
2.0ms	(- (+ 1.0 t) t)

simplify1.9s

Counts

234 → 234

Iterations

Iter	Nodes
done	5001
2	2304
1	902
0	394

prune1.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.5b

regimes1.4s

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	37
1	37
0	28

end0.0ms

sample1.3s

Algorithm

intervals

Results

906.0ms	4392×	body	80	nan
111.0ms	165×	body	640	valid
97.0ms	74×	body	320	valid
7.0ms	21×	body	160	valid
5.0ms	6×	body	1280	valid
4.0ms	25×	body	80	valid