Details

sample1.2s

Algorithm

intervals

Results

906.0ms	3685×	body	80	nan
97.0ms	171×	body	640	valid
17.0ms	47×	body	320	valid
3.0ms	14×	body	160	valid
3.0ms	22×	body	80	valid
1.0ms	2×	body	1280	valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize71.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (sqrt (+ x 1.0)) (sqrt x))
3.2b	(- (sqrt (+ z 1.0)) (sqrt z))
3.3b	(- (sqrt (+ y 1.0)) (sqrt y))
3.9b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite215.0ms

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:

34.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
63.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
63.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
51.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series368.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
104.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
85.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
76.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify941.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1821
1	496
0	214

prune772.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
2.8b	(- (sqrt (+ x 1.0)) (sqrt x))
3.2b	(- (sqrt (+ z 1.0)) (sqrt z))
3.3b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite215.0ms

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:

50.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
60.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
37.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
63.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series422.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
82.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
112.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
74.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify1.5s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	2745
1	660
0	275

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize83.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
0.2b	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
3.2b	(- (sqrt (+ z 1.0)) (sqrt z))
3.3b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite240.0ms

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 (+ x 1.0)) (sqrt x)))
62.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
63.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
62.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series587.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
212.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
95.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
120.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify1.7s

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
2	3234
1	760
0	314

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.4b

localize106.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
0.2b	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
2.4b	(- (+ z 1.0) z)
3.3b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite215.0ms

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/`
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 → 127

Calls

4 calls:

48.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
67.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
57.0ms	(- (+ z 1.0) z)
37.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series550.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
219.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
2.0ms	(- (+ z 1.0) z)
87.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify1.9s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
2	3038
1	716
0	296

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes1.2s

bsearch0.0ms

simplify15.0ms

Iterations

Iter	Nodes
done	51
2	51
1	46
0	33

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.6s	7184×	body	80	nan
152.0ms	323×	body	640	valid
32.0ms	97×	body	320	valid
7.0ms	30×	body	160	valid
6.0ms	10×	body	1280	valid
5.0ms	39×	body	80	valid