Details

sample1.4s

Algorithm

intervals

Results

1.1s	3738×	body	80	nan
146.0ms	176×	body	640	valid
22.0ms	47×	body	320	valid
3.0ms	20×	body	80	valid
3.0ms	4×	body	1280	valid
3.0ms	9×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
3	882
2	155
1	51
0	24

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize89.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (sqrt (+ y 1.0)) (sqrt y))
3.1b	(- (sqrt (+ z 1.0)) (sqrt z))
3.5b	(- (sqrt (+ t 1.0)) (sqrt t))
4.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite178.0ms

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:

41.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
51.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
33.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
52.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series397.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
101.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
94.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
113.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify2.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	5007
3	4503
2	1398
1	500
0	218

prune800.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.3b

localize83.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
1.8b	(- (sqrt (+ y 1.0)) (sqrt y))
3.1b	(- (sqrt (+ z 1.0)) (sqrt z))
3.5b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite127.0ms

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:

32.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
37.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
25.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
31.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series523.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
120.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
107.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
98.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify1.3s

Counts

123 → 123

Iterations

Iter	Nodes
done	5002
2	1719
1	666
0	281

prune931.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.3b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
1.8b	(- (sqrt (+ y 1.0)) (sqrt y))
2.2b	(- (+ t 1.0) t)
3.1b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
36×	`sqrt-prod`
34×	`add-sqr-sqrt`
30×	`distribute-lft-out`
24×	`times-frac`
16×	`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` `insert-posit16` `associate-/l*`
3×	`sub-neg` `flip3--` `flip--`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sum-log` `frac-2neg` `div-exp` `associate--l+` `div-inv`

Counts

4 → 109

Calls

4 calls:

49.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
32.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
25.0ms	(- (+ t 1.0) t)
26.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series431.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
104.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
2.0ms	(- (+ t 1.0) t)
108.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify1.3s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	1740
1	616
0	262

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize101.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
0.2b	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
1.8b	(- (sqrt (+ y 1.0)) (sqrt y))
2.2b	(- (+ t 1.0) t)

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
45×	`distribute-lft-out`
44×	`sqrt-prod`
42×	`times-frac`
37×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
12×	`associate-/r*`
11×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/l*`
5×	`distribute-lft-out--` `difference-of-squares`
4×	`pow1` `associate-/r/` `insert-posit16`
3×	`flip3-+` `diff-log` `flip-+`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--` `associate-/l/`
1×	`sum-log` `associate--l+`

Counts

4 → 131

Calls

4 calls:

40.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
52.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
29.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
25.0ms	(- (+ t 1.0) t)

series573.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
238.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
101.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
2.0ms	(- (+ t 1.0) t)

simplify1.6s

Counts

143 → 143

Iterations

Iter	Nodes
done	5001
2	2155
1	696
0	301

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes1.1s

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	43
1	43
0	31

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.6s	7923×	body	80	nan
445.0ms	91×	body	320	valid
216.0ms	359×	body	640	valid
8.0ms	25×	body	160	valid
6.0ms	40×	body	80	valid
4.0ms	7×	body	1280	valid