Details

sample1.5s

Algorithm

intervals

Results

1.2s	3738×	body	80	nan
155.0ms	176×	body	640	valid
49.0ms	4×	body	1280	valid
23.0ms	47×	body	320	valid
4.0ms	9×	body	160	valid
3.0ms	20×	body	80	valid

simplify3.8s

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: 6.1b

localize48.0ms

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))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
32×	`*-un-lft-identity` `sqrt-prod`
16×	`difference-of-squares`
12×	`distribute-lft-out--` `add-log-exp`
4×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out`

Counts

4 → 80

Calls

4 calls:

27.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
26.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
25.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
32.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series458.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
125.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
127.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
82.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.6s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
3	4152
2	1382
1	500
0	218

prune821.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.3b

localize66.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt 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))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
40×	`sqrt-prod`
39×	`add-sqr-sqrt`
19×	`distribute-lft-out`
18×	`times-frac`
15×	`add-cube-cbrt`
12×	`difference-of-squares`
10×	`add-log-exp`
9×	`distribute-lft-out--`
6×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
4×	`pow1` `insert-posit16`
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 → 102

Calls

4 calls:

43.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
28.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
33.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
39.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series535.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
97.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
100.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
119.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify1.8s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	1781
1	628
0	270

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize84.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
0.2b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
1.8b	(- (sqrt (+ y 1.0)) (sqrt y))
3.5b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
52×	`sqrt-prod`
45×	`distribute-lft-out`
43×	`add-sqr-sqrt`
42×	`times-frac`
27×	`add-cube-cbrt`
12×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp` `difference-of-squares`
7×	`associate-/l*`
6×	`distribute-lft-out--`
4×	`pow1` `associate-/r/` `insert-posit16`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `associate-/l/`

Counts

4 → 133

Calls

4 calls:

66.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
31.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
30.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
34.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series687.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
261.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
89.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
127.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify1.6s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
2	2169
1	744
0	320

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
0.2b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
0.2b	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
1.8b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
60×	`times-frac` `sqrt-prod` `distribute-lft-out`
46×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
18×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `flip3-+` `flip-+` `insert-posit16` `difference-of-squares`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `distribute-lft-out--`
2×	`associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 155

Calls

4 calls:

46.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
25.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
29.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
36.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series747.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
182.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
219.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
127.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify1.9s

Counts

167 → 167

Iterations

Iter	Nodes
done	5009
2	2416
1	815
0	346

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes1.4s

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	42
1	42
0	30

end0.0ms

sample2.7s

Algorithm

intervals

Results

2.1s	7923×	body	80	nan
277.0ms	359×	body	640	valid
45.0ms	91×	body	320	valid
7.0ms	25×	body	160	valid
6.0ms	40×	body	80	valid
6.0ms	7×	body	1280	valid