Details

sample1.0s

Algorithm

intervals

Results

707.0ms	4204×	body	80	nan
74.0ms	154×	body	640	valid
25.0ms	60×	body	320	valid
3.0ms	6×	body	1280	valid
3.0ms	24×	body	80	valid
3.0ms	12×	body	160	valid

simplify4.1s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize107.0ms

Local error

Found 4 expressions with local error:

1.9b	(- (sqrt (+ t 1.0)) (sqrt t))
2.2b	(- (sqrt (+ y 1.0)) (sqrt y))
2.4b	(- (sqrt (+ x 1.0)) (sqrt x))
2.8b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite206.0ms

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:

43.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
60.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
53.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
48.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series402.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
121.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
87.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
96.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify2.4s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
3	4036
2	1344
1	496
0	214

prune903.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.7b

localize83.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
1.9b	(- (sqrt (+ t 1.0)) (sqrt t))
2.2b	(- (sqrt (+ y 1.0)) (sqrt y))
2.4b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite212.0ms

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:

44.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
55.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
41.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
66.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series475.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
77.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
83.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
91.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.6s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1747
1	625
0	266

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize107.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
0.1b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
1.9b	(- (sqrt (+ t 1.0)) (sqrt t))
2.2b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite220.0ms

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:

52.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
67.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
56.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
40.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series569.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
181.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
124.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
86.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify1.7s

Counts

141 → 141

Iterations

Iter	Nodes
done	5001
2	2157
1	739
0	316

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize79.0ms

Local error

Found 4 expressions with local error:

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

rewrite266.0ms

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:

75.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
61.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
61.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
62.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series635.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
181.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
173.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
89.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify1.9s

Counts

163 → 163

Iterations

Iter	Nodes
done	5001
2	2414
1	810
0	342

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes1.2s

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	42
1	42
0	30

end0.0ms

sample8.2s

Algorithm

intervals

Results

5.7s	27132×	body	80	nan
1.1s	1134×	body	640	valid
177.0ms	388×	body	320	valid
24.0ms	100×	body	160	valid
20.0ms	33×	body	1280	valid
18.0ms	141×	body	80	valid