Details

sample418.0ms

Algorithm

intervals

Results

240.0ms	4141×	body	80	nan
42.0ms	177×	body	640	valid
9.0ms	50×	body	320	valid
2.0ms	13×	body	160	valid
1.0ms	14×	body	80	valid
1.0ms	2×	body	1280	valid

simplify537.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	31
1	51	31
2	154	31
3	877	31
done	5000	31

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize22.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (sqrt (+ x 1.0)) (sqrt x))
2.9b	(- (sqrt (+ z 1.0)) (sqrt z))
4.3b	(- (sqrt (+ t 1.0)) (sqrt t))
4.9b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite96.0ms

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:

23.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
25.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
23.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
23.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series278.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
71.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
70.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
70.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify1.3s

Counts

88 → 88

Iterations

Useful iterations: 3 (617.0ms)

Iter	Nodes	Cost
0	208	1242
1	473	1140
2	1318	1050
3	3512	1028
done	5000	1028

prune387.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
2.8b	(- (sqrt (+ x 1.0)) (sqrt x))
2.9b	(- (sqrt (+ z 1.0)) (sqrt z))
4.3b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite107.0ms

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:

32.0ms	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
23.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
22.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
25.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series348.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
70.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
67.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
71.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify610.0ms

Counts

119 → 119

Iterations

Useful iterations: done (606.0ms)

Iter	Nodes	Cost
0	271	1925
1	636	1633
2	1737	1508
done	5001	1486

prune516.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
2.8b	(- (sqrt (+ x 1.0)) (sqrt x))
2.9b	(- (sqrt (+ z 1.0)) (sqrt z))
3.4b	(- (+ t 1.0) t)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
36×	`sqrt-prod`
34×	`add-sqr-sqrt`
30×	`distribute-lft-out`
24×	`times-frac`
16×	`add-cube-cbrt`
13×	`add-log-exp`
9×	`difference-of-squares`
8×	`distribute-lft-out--`
6×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `diff-log` `associate-/l*`
3×	`sub-neg` `flip3--` `flip--`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `associate--l+` `clear-num` `sum-log` `div-inv`

Counts

4 → 105

Calls

4 calls:

30.0ms	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
27.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
23.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
19.0ms	(- (+ t 1.0) t)

series289.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
71.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
70.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
1.0ms	(- (+ t 1.0) t)

simplify784.0ms

Counts

117 → 117

Iterations

Useful iterations: done (781.0ms)

Iter	Nodes	Cost
0	254	1766
1	592	1494
2	1604	1381
done	5000	1297

prune543.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
0.2b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
2.8b	(- (sqrt (+ x 1.0)) (sqrt x))
3.4b	(- (+ t 1.0) t)

rewrite107.0ms

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

Counts

4 → 127

Calls

4 calls:

32.0ms	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
25.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
23.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
22.0ms	(- (+ t 1.0) t)

series354.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
138.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
73.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
1.0ms	(- (+ t 1.0) t)

simplify629.0ms

Counts

139 → 139

Iterations

Useful iterations: done (625.0ms)

Iter	Nodes	Cost
0	291	2169
1	679	1867
2	1838	1723
done	5000	1717

prune596.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes501.0ms

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	29	39
1	40	37
done	40	37

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s	21971×	body	80	nan
224.0ms	954×	body	640	valid
53.0ms	300×	body	320	valid
11.0ms	92×	body	160	valid
8.0ms	123×	body	80	valid
7.0ms	23×	body	1280	valid