Details

sample879.0ms

Algorithm

intervals

Results

551.0ms	3915×	body	80	nan
100.0ms	167×	body	640	valid
47.0ms	50×	body	320	valid
4.0ms	21×	body	160	valid
2.0ms	4×	body	1280	valid
1.0ms	14×	body	80	valid

simplify2.4s

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize67.0ms

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))

rewrite279.0ms

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:

67.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
64.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
64.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
79.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series409.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
92.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
125.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
91.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1821
1	496
0	214

prune949.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.4b

localize84.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 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))

rewrite207.0ms

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:

74.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
42.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
34.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
52.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series507.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
91.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
117.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
92.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.6s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	2743
1	660
0	275

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize75.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 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))
4.3b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite223.0ms

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:

78.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
44.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
45.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
46.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series584.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
208.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
102.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
95.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.7s

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
2	3192
1	755
0	312

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize97.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 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	(- (+ x 1.0) x)

rewrite184.0ms

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:

64.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
36.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
38.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
41.0ms	(- (+ x 1.0) x)

series499.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
196.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
84.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
1.0ms	(- (+ x 1.0) x)

simplify1.8s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
2	2997
1	707
0	293

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

regimes1.3s

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	44
2	44
1	40
0	29

end0.0ms

sample4.6s

Algorithm

intervals

Results

3.4s	15165×	body	80	nan
424.0ms	675×	body	640	valid
117.0ms	197×	body	320	valid
15.0ms	62×	body	160	valid
13.0ms	21×	body	1280	valid
9.0ms	76×	body	80	valid