Details

sample887.0ms

Algorithm

intervals

Results

593.0ms	3695×	body	80	nan
85.0ms	156×	body	640	valid
55.0ms	63×	body	320	valid
5.0ms	18×	body	160	valid
2.0ms	15×	body	80	valid
2.0ms	4×	body	1280	valid

simplify3.8s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize65.0ms

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))

rewrite168.0ms

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:

50.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
29.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
51.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
36.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series429.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
122.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
90.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
126.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.4s

Counts

92 → 92

Iterations

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

prune830.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.2b

localize117.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
2.8b	(- (sqrt (+ y 1.0)) (sqrt y))
2.8b	(- (sqrt (+ z 1.0)) (sqrt z))
3.1b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite133.0ms

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:

25.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
42.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
28.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
36.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series520.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
122.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
85.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
114.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify1.7s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	1781
1	628
0	270

prune978.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.4b

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)))
2.8b	(- (sqrt (+ y 1.0)) (sqrt y))
3.1b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite175.0ms

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:

43.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
35.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
37.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
56.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series624.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
240.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
94.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
105.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify1.8s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
2	2169
1	744
0	320

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize92.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
0.2b	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
0.2b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
2.8b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite152.0ms

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:

37.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
37.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
35.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
38.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series717.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
189.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
247.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
107.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify2.0s

Counts

167 → 167

Iterations

Iter	Nodes
done	5005
2	2416
1	815
0	346

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes1.1s

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	42
1	42
0	30

end0.0ms

sample8.9s

Algorithm

intervals

Results

6.3s	29330×	body	80	nan
1.3s	1310×	body	640	valid
209.0ms	412×	body	320	valid
71.0ms	165×	body	80	valid
51.0ms	30×	body	1280	valid
34.0ms	132×	body	160	valid