Details

sample1.2s

Algorithm

intervals

Results

930.0ms	3915×	body	80	nan
84.0ms	167×	body	640	valid
16.0ms	50×	body	320	valid
5.0ms	21×	body	160	valid
2.0ms	4×	body	1280	valid
2.0ms	14×	body	80	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: 6.0b

localize49.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (sqrt (+ t 1.0)) (sqrt t))
2.7b	(- (sqrt (+ z 1.0)) (sqrt z))
2.9b	(- (sqrt (+ y 1.0)) (sqrt y))
4.3b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite193.0ms

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:

64.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
39.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
46.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
40.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series439.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
96.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
119.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
119.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.6s

Counts

88 → 88

Iterations

Iter	Nodes
done	5002
3	4297
2	1412
1	496
0	214

prune860.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.4b

localize71.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
2.7b	(- (sqrt (+ z 1.0)) (sqrt z))
2.9b	(- (sqrt (+ y 1.0)) (sqrt y))
4.3b	(- (sqrt (+ x 1.0)) (sqrt x))

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×	`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:

41.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
49.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
35.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
41.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series474.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
86.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
88.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
100.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.6s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1626
1	619
0	264

prune992.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize81.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
2.7b	(- (sqrt (+ z 1.0)) (sqrt z))
2.9b	(- (sqrt (+ y 1.0)) (sqrt y))
3.4b	(- (+ 1.0 x) x)

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
32×	`sqrt-prod`
19×	`distribute-lft-out`
18×	`times-frac`
15×	`add-cube-cbrt`
13×	`add-log-exp`
9×	`difference-of-squares`
8×	`distribute-lft-out--`
6×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
4×	`pow1` `diff-log`
3×	`sub-neg` `flip3--` `flip--` `associate-/l*`
2×	`associate-/r/`
1×	`cbrt-undiv` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `associate--l+` `flip-+` `div-inv`

Counts

4 → 96

Calls

4 calls:

56.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
50.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
41.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
41.0ms	(- (+ 1.0 x) x)

series406.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
109.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
107.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
2.0ms	(- (+ 1.0 x) x)

simplify1.4s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1608
1	570
0	245

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize98.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
0.2b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
2.7b	(- (sqrt (+ z 1.0)) (sqrt z))
3.4b	(- (+ 1.0 x) x)

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

94×	`*-un-lft-identity`
40×	`sqrt-prod`
36×	`add-sqr-sqrt` `times-frac`
34×	`distribute-lft-out`
26×	`add-cube-cbrt`
12×	`associate-/r*`
11×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*`
5×	`distribute-lft-out--` `difference-of-squares`
4×	`pow1` `associate-/r/`
3×	`diff-log`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `div-inv` `flip--`
1×	`sum-log` `associate--l+`

Counts

4 → 118

Calls

4 calls:

58.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
45.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
38.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
37.0ms	(- (+ 1.0 x) x)

series428.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
162.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
84.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
2.0ms	(- (+ 1.0 x) x)

simplify1.8s

Counts

130 → 130

Iterations

Iter	Nodes
done	5001
2	1810
1	645
0	271

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

regimes805.0ms

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	43
1	43
0	31

end0.0ms

sample3.9s

Algorithm

intervals

Results

2.8s	15165×	body	80	nan
342.0ms	675×	body	640	valid
91.0ms	197×	body	320	valid
14.0ms	62×	body	160	valid
11.0ms	21×	body	1280	valid
8.0ms	76×	body	80	valid