Details

sample1.2s

Algorithm

intervals

Results

603.0ms	3660×	body	80	nan
71.0ms	159×	body	640	valid
17.0ms	53×	body	320	valid
3.0ms	6×	body	1280	valid
3.0ms	24×	body	80	valid
2.0ms	14×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	31
1	51	31
2	155	31
3	883	31
done	5000	31

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize35.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (sqrt (+ y 1.0)) (sqrt y))
2.9b	(- (sqrt (+ t 1.0)) (sqrt t))
3.9b	(- (sqrt (+ z 1.0)) (sqrt z))
4.3b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite191.0ms

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:

46.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
46.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
48.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
48.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series331.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
89.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
78.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
77.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.0s

Counts

88 → 88

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	208	1242
1	472	1140
2	1262	1050
3	3097	1028
done	5001	1000

prune497.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.3b

localize56.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
2.8b	(- (sqrt (+ y 1.0)) (sqrt y))
3.9b	(- (sqrt (+ z 1.0)) (sqrt z))
4.3b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite290.0ms

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

Counts

4 → 98

Calls

4 calls:

56.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
87.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
62.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
80.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series480.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
83.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
103.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
83.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.7s

Counts

110 → 110

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	260	1647
1	592	1513
2	1593	1390
3	4342	1366
done	5001	1366

prune715.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.9b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
0.1b	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
2.8b	(- (sqrt (+ y 1.0)) (sqrt y))
3.9b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite287.0ms

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:

62.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
97.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
45.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
69.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series672.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
231.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
97.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
102.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify1.3s

Counts

141 → 141

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	310	2330
1	716	2004
2	1919	1848
done	5000	1823

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite341.0ms

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

Counts

4 → 151

Calls

4 calls:

87.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
64.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
100.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
83.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series763.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
242.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
187.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
81.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify1.5s

Counts

163 → 163

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	336	2733
1	789	2377
2	2150	2190
done	5001	2162

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes1.1s

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	30	41
1	42	39
done	42	39

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.4s	5882×	body	80	nan
124.0ms	260×	body	640	valid
37.0ms	81×	body	320	valid
5.0ms	19×	body	160	valid
4.0ms	35×	body	80	valid
4.0ms	7×	body	1280	valid