Details

sample456.0ms

Algorithm

intervals

Results

238.0ms	4062×	body	80	nan
44.0ms	173×	body	640	valid
9.0ms	48×	body	320	valid
2.0ms	19×	body	80	valid
2.0ms	15×	body	160	valid
0.0ms	1×	body	1280	valid

simplify1.3s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize28.0ms

Local error

Found 4 expressions with local error:

2.1b	(- (sqrt (+ x 1.0)) (sqrt x))
2.3b	(- (sqrt (+ z 1.0)) (sqrt z))
2.5b	(- (sqrt (+ y 1.0)) (sqrt y))
3.6b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite174.0ms

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))
43.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
45.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
41.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series294.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
74.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
75.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
70.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify1.4s

Counts

88 → 88

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	208	1242
1	472	1140
2	1262	1050
3	3095	1028
done	5001	1000

prune372.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
2.1b	(- (sqrt (+ x 1.0)) (sqrt x))
2.3b	(- (sqrt (+ z 1.0)) (sqrt z))
2.5b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite172.0ms

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:

43.0ms	(/ 1.0 (+ (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))

series360.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
75.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
75.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
70.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify2.0s

Counts

110 → 110

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	260	1647
1	592	1513
2	1593	1390
3	4341	1366
done	5000	1366

prune472.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
0.2b	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
2.1b	(- (sqrt (+ x 1.0)) (sqrt x))
2.3b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite189.0ms

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 (+ t 1.0)) (sqrt t)))
57.0ms	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
43.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
41.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series406.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
137.0ms	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
65.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
70.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify925.0ms

Counts

141 → 141

Iterations

Useful iterations: done (920.0ms)

Iter	Nodes	Cost
0	310	2330
1	716	2004
2	1918	1848
done	5000	1816

prune672.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
0.2b	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
0.2b	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
2.3b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite189.0ms

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:

43.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
42.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
55.0ms	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
43.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series503.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
137.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
146.0ms	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
73.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify1.0s

Counts

163 → 163

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	338	2735
1	795	2377
2	2172	2188
done	5000	2155

prune704.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes315.0ms

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

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

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s	21459×	body	80	nan
224.0ms	927×	body	640	valid
54.0ms	299×	body	320	valid
11.0ms	79×	body	160	valid
6.0ms	107×	body	80	valid
5.0ms	16×	body	1280	valid