Details

sample1.0s

Algorithm

intervals

Results

603.0ms	3587×	body	80	nan
86.0ms	152×	body	640	valid
46.0ms	24×	body	80	valid
20.0ms	58×	body	320	valid
5.0ms	18×	body	160	valid
2.0ms	4×	body	1280	valid

simplify1.4s

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize44.0ms

Local error

Found 4 expressions with local error:

2.1b	(- (sqrt (+ y 1.0)) (sqrt y))
2.8b	(- (sqrt (+ t 1.0)) (sqrt t))
2.8b	(- (sqrt (+ x 1.0)) (sqrt x))
4.2b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite165.0ms

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` `flip--` `distribute-lft-out`

Counts

4 → 76

Calls

4 calls:

59.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
34.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
36.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
34.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series353.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
99.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
81.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
73.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify715.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1826
1	496
0	214

prune701.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.8b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
2.1b	(- (sqrt (+ y 1.0)) (sqrt y))
2.8b	(- (sqrt (+ t 1.0)) (sqrt t))
4.2b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
44×	`sqrt-prod`
40×	`add-sqr-sqrt`
30×	`distribute-lft-out`
24×	`times-frac`
16×	`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` `associate-/l*`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 107

Calls

4 calls:

61.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
52.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
41.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
53.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series516.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
98.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
112.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
99.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify1.3s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	2765
1	665
0	277

prune979.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.6b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
0.2b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
2.1b	(- (sqrt (+ y 1.0)) (sqrt y))
2.8b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite228.0ms

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/`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `associate-/l/`

Counts

4 → 129

Calls

4 calls:

63.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
48.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
35.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
71.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series578.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
177.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
105.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
123.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify1.7s

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
2	3253
1	766
0	316

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
0.2b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
2.1b	(- (sqrt (+ y 1.0)) (sqrt y))
2.2b	(- (+ 1.0 t) t)

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
45×	`distribute-lft-out`
44×	`sqrt-prod`
42×	`times-frac`
37×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
12×	`associate-/r*`
11×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/l*`
5×	`distribute-lft-out--` `difference-of-squares`
4×	`pow1` `associate-/r/`
3×	`flip3-+` `diff-log` `flip-+`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--` `associate-/l/`
1×	`sum-log` `associate--l+`

Counts

4 → 127

Calls

4 calls:

68.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
53.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
59.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
40.0ms	(- (+ 1.0 t) t)

series498.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
167.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
86.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
2.0ms	(- (+ 1.0 t) t)

simplify1.6s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
2	3184
1	717
0	297

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

regimes1.1s

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	51
2	51
1	46
0	33

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.1s	9979×	body	80	nan
322.0ms	441×	body	640	valid
102.0ms	148×	body	320	valid
10.0ms	44×	body	160	valid
7.0ms	57×	body	80	valid
5.0ms	8×	body	1280	valid