Details

sample400.0ms

Algorithm

intervals

Results

201.0ms	3411×	body	80	nan
39.0ms	164×	body	640	valid
11.0ms	54×	body	320	valid
2.0ms	19×	body	160	valid
1.0ms	5×	body	1280	valid
1.0ms	14×	body	80	valid

simplify28.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	51	19
1	156	19
2	907	19
3	5001	19
done	5001	19

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize21.0ms

Local error

Found 4 expressions with local error:

1.6b	(- (sqrt (+ x 1.0)) (sqrt x))
2.8b	(- (sqrt (+ z 1.0)) (sqrt z))
3.0b	(- (sqrt (+ y 1.0)) (sqrt y))
3.2b	(- (sqrt (+ t 1.0)) (sqrt t))

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` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out`

Counts

4 → 76

Calls

4 calls:

42.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
41.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
40.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
42.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series279.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
70.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
66.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
72.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify46.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	472	702
1	1521	635
2	5001	620
done	5001	620

prune372.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
1.6b	(- (sqrt (+ x 1.0)) (sqrt x))
2.8b	(- (sqrt (+ z 1.0)) (sqrt z))
3.0b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite184.0ms

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×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `associate-/l*`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 107

Calls

4 calls:

55.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
41.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
44.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
40.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series345.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
70.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
63.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
70.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify62.0ms

Counts

119 → 119

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	634	1073
1	2368	978
2	5001	942
done	5001	942

prune503.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
0.2b	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
1.6b	(- (sqrt (+ x 1.0)) (sqrt x))
3.0b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite185.0ms

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-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
7×	`associate-/l*`
6×	`distribute-lft-out--`
4×	`pow1` `associate-/r/`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `div-inv` `associate-/l/`

Counts

4 → 129

Calls

4 calls:

43.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
56.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
39.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
41.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series417.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
140.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
65.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
71.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify68.0ms

Counts

141 → 141

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	721	1296
1	2731	1177
2	5002	1135
done	5002	1135

prune619.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
0.2b	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
1.6b	(- (sqrt (+ x 1.0)) (sqrt x))
1.9b	(+ y (- 1.0 y))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 127

Calls

4 calls:

42.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
56.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
42.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
15.0ms	(+ y (- 1.0 y))

series337.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
138.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
65.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
1.0ms	(+ y (- 1.0 y))

simplify70.0ms

Counts

139 → 139

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	683	1181
1	2592	1073
2	5002	1005
done	5002	1005

prune605.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes468.0ms

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	26
1	55	26
2	55	26
done	55	26

end0.0ms

sample1.3s

Algorithm

intervals

Results

690.0ms	11878×	body	80	nan
128.0ms	552×	body	640	valid
33.0ms	184×	body	320	valid
7.0ms	61×	body	160	valid
5.0ms	16×	body	1280	valid
3.0ms	52×	body	80	valid