Details

sample919.0ms

Algorithm

intervals

Results

602.0ms	3769×	body	80	nan
80.0ms	167×	body	640	valid
59.0ms	56×	body	320	valid
3.0ms	13×	body	160	valid
2.0ms	17×	body	80	valid
2.0ms	3×	body	1280	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5010
4	4694
3	799
2	154
1	51
0	24

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize65.0ms

Local error

Found 4 expressions with local error:

2.1b	(- (sqrt (+ t 1.0)) (sqrt t))
2.3b	(- (sqrt (+ y 1.0)) (sqrt y))
3.0b	(- (sqrt (+ z 1.0)) (sqrt z))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite179.0ms

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:

48.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
46.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
45.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
38.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series353.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
84.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
79.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
89.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.5s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
3	4102
2	1346
1	496
0	214

prune803.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.6b

localize91.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
2.1b	(- (sqrt (+ t 1.0)) (sqrt t))
3.0b	(- (sqrt (+ z 1.0)) (sqrt z))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite204.0ms

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

Counts

4 → 98

Calls

4 calls:

51.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
45.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
60.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
44.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series523.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
98.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
117.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
91.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.6s

Counts

110 → 110

Iterations

Iter	Nodes
done	5009
2	1710
1	619
0	264

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.6b

localize74.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
0.2b	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
3.0b	(- (sqrt (+ z 1.0)) (sqrt z))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite208.0ms

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:

44.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
54.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
62.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
42.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series624.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
206.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
105.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
97.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.9s

Counts

141 → 141

Iterations

Iter	Nodes
done	5001
2	2114
1	729
0	312

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize108.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
0.2b	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
0.2b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite240.0ms

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

Counts

4 → 151

Calls

4 calls:

71.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
67.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
40.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
50.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series777.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
216.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
212.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
112.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.2s

Counts

163 → 163

Iterations

Iter	Nodes
done	5003
2	2417
1	806
0	340

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes1.1s

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	42
1	42
0	30

end0.0ms

sample1.2s

Algorithm

intervals

Results

926.0ms	4178×	body	80	nan
72.0ms	184×	body	640	valid
49.0ms	62×	body	320	valid
2.0ms	13×	body	160	valid
2.0ms	22×	body	80	valid
2.0ms	3×	body	1280	valid