Details

sample1.2s

Algorithm

intervals

Results

872.0ms	3650×	body	80	nan
162.0ms	171×	body	640	valid
19.0ms	47×	body	320	valid
4.0ms	15×	body	160	valid
3.0ms	20×	body	80	valid
2.0ms	3×	body	1280	valid

simplify531.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
3	799
2	154
1	51
0	24

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize70.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (sqrt (+ x 1.0)) (sqrt x))
3.3b	(- (sqrt (+ y 1.0)) (sqrt y))
3.6b	(- (sqrt (+ t 1.0)) (sqrt t))
4.7b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite132.0ms

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` `insert-posit16` `flip--` `distribute-lft-out`

Counts

4 → 80

Calls

4 calls:

34.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
33.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
32.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
31.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series342.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
79.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
97.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
75.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify756.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	2001
2	1380
1	500
0	218

prune717.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.4b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
2.6b	(- (sqrt (+ x 1.0)) (sqrt x))
3.3b	(- (sqrt (+ y 1.0)) (sqrt y))
3.6b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite152.0ms

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` `insert-posit16` `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 → 111

Calls

4 calls:

51.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
43.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
27.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
29.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series381.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
71.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
73.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
96.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify954.0ms

Counts

123 → 123

Iterations

Iter	Nodes
done	2001
2	1799
1	667
0	281

prune956.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize65.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
0.2b	(/ (+ 1.0 (- t t)) (+ (sqrt (+ t 1.0)) (sqrt t)))
2.6b	(- (sqrt (+ x 1.0)) (sqrt x))
3.3b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

169×	`*-un-lft-identity`
67×	`distribute-lft-out`
60×	`sqrt-prod`
54×	`times-frac`
45×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
13×	`distribute-lft-out--`
12×	`associate-/r*`
9×	`associate-/l*`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp` `difference-of-squares`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16` `associate-/l/`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--`
1×	`associate-+r-` `div-sub`

Counts

4 → 150

Calls

4 calls:

35.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
53.0ms	(/ (+ 1.0 (- t t)) (+ (sqrt (+ t 1.0)) (sqrt t)))
27.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
26.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series512.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
172.0ms	(/ (+ 1.0 (- t t)) (+ (sqrt (+ t 1.0)) (sqrt t)))
81.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
77.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify684.0ms

Counts

162 → 162

Iterations

Iter	Nodes
done	2000
1	768
0	332

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.5b

localize130.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
0.2b	(/ (+ 1.0 (- t t)) (+ (sqrt (+ t 1.0)) (sqrt t)))
1.9b	(- (+ y 1.0) y)
2.6b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

167×	`*-un-lft-identity`
67×	`distribute-lft-out`
54×	`times-frac`
52×	`sqrt-prod`
39×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
12×	`associate-/r*` `distribute-lft-out--`
11×	`add-log-exp`
9×	`associate-/l*`
8×	`add-cbrt-cube` `add-exp-log`
5×	`difference-of-squares`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16` `associate-/l/`
3×	`diff-log`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--`
1×	`associate-+r-` `sum-log` `div-sub` `associate--l+`

Counts

4 → 148

Calls

4 calls:

38.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
77.0ms	(/ (+ 1.0 (- t t)) (+ (sqrt (+ t 1.0)) (sqrt t)))
23.0ms	(- (+ y 1.0) y)
30.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series507.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
206.0ms	(/ (+ 1.0 (- t t)) (+ (sqrt (+ t 1.0)) (sqrt t)))
1.0ms	(- (+ y 1.0) y)
88.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify583.0ms

Counts

160 → 160

Iterations

Iter	Nodes
done	2000
1	715
0	312

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

regimes1.3s

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	43
1	43
0	31

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.6s	7984×	body	80	nan
706.0ms	369×	body	640	valid
50.0ms	107×	body	320	valid
11.0ms	34×	body	160	valid
7.0ms	43×	body	80	valid
2.0ms	4×	body	1280	valid