Details

sample1.3s

Algorithm

intervals

Results

909.0ms	3976×	body	80	nan
72.0ms	163×	body	640	valid
20.0ms	60×	body	320	valid
6.0ms	6×	body	1280	valid
3.0ms	13×	body	160	valid
1.0ms	14×	body	80	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
3	897
2	155
1	51
0	24

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize55.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (sqrt (+ t 1.0)) (sqrt t))
2.5b	(- (sqrt (+ z 1.0)) (sqrt z))
2.6b	(- (sqrt (+ y 1.0)) (sqrt y))
3.0b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite185.0ms

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` `flip--` `distribute-lft-out`

Counts

4 → 76

Calls

4 calls:

39.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
45.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
38.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
62.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series420.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
98.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
115.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
85.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.0s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1821
1	496
0	214

prune969.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.7b

localize107.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
1.8b	(- (sqrt (+ t 1.0)) (sqrt t))
2.6b	(- (sqrt (+ y 1.0)) (sqrt y))
3.0b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite237.0ms

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` `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 → 107

Calls

4 calls:

86.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
65.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
42.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
40.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series452.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
91.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
104.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
90.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.8s

Counts

119 → 119

Iterations

Iter	Nodes
done	5003
2	2783
1	666
0	277

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize88.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
0.2b	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
2.6b	(- (sqrt (+ y 1.0)) (sqrt y))
3.0b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite221.0ms

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

Counts

4 → 129

Calls

4 calls:

54.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
67.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
55.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
37.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series606.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
222.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
122.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
87.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.8s

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
2	3232
1	761
0	314

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize115.0ms

Local error

Found 4 expressions with local error:

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

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

201×	`*-un-lft-identity`
82×	`distribute-lft-out`
72×	`times-frac`
68×	`sqrt-prod`
48×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
18×	`associate-/r*`
12×	`associate-/l*`
10×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--`
6×	`associate-/r/` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`pow1` `difference-of-squares` `associate-/l/`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`associate-+r-` `sub-neg` `flip3--` `diff-log` `div-sub` `flip--`

Counts

4 → 168

Calls

4 calls:

93.0ms	(/ (+ 1.0 (- y y)) (+ (sqrt (+ y 1.0)) (sqrt y)))
59.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
55.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
42.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series657.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(/ (+ 1.0 (- y y)) (+ (sqrt (+ y 1.0)) (sqrt y)))
188.0ms	(/ (+ 1.0 0) (+ (sqrt (+ z 1.0)) (sqrt z)))
194.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
100.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.5s

Counts

180 → 180

Iterations

Iter	Nodes
done	5000
2	4270
1	911
0	365

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

regimes1.5s

bsearch0.0ms

simplify16.0ms

Iterations

Iter	Nodes
done	51
2	51
1	46
0	33

end0.0ms

sample1.3s

Algorithm

intervals

Results

935.0ms	3438×	body	80	nan
105.0ms	137×	body	640	valid
18.0ms	48×	body	320	valid
3.0ms	14×	body	160	valid
3.0ms	5×	body	1280	valid
2.0ms	16×	body	80	valid