Details

sample1.4s

Algorithm

intervals

Results

1.1s	3899×	body	80	nan
76.0ms	160×	body	640	valid
22.0ms	60×	body	320	valid
3.0ms	23×	body	80	valid
3.0ms	5×	body	1280	valid
2.0ms	8×	body	160	valid

simplify3.6s

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: 4.0b

localize72.0ms

Local error

Found 4 expressions with local error:

1.3b	(- (sqrt (+ z 1.0)) (sqrt z))
2.3b	(- (sqrt (+ x 1.0)) (sqrt x))
2.5b	(- (sqrt (+ t 1.0)) (sqrt t))
3.2b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite152.0ms

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:

33.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
37.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
41.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
38.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series341.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
74.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
98.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
96.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify2.4s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
3	4101
2	1350
1	496
0	214

prune833.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.9b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
1.3b	(- (sqrt (+ z 1.0)) (sqrt z))
2.3b	(- (sqrt (+ x 1.0)) (sqrt x))
2.5b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite233.0ms

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:

57.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
66.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
46.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
61.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series518.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
114.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
119.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
89.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify1.7s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1710
1	619
0	264

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.4b

localize82.0ms

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)))
1.3b	(- (sqrt (+ z 1.0)) (sqrt z))
2.3b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite262.0ms

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:

71.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
57.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
60.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
65.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series610.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
200.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
94.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
97.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.9s

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
2	2114
1	728
0	312

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
0.1b	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
0.2b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
1.3b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite269.0ms

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:

53.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
84.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
56.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
69.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series704.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
217.0ms	(/ (+ 1.0 0) (+ (sqrt (+ t 1.0)) (sqrt t)))
193.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
78.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify1.6s

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
2	2396
1	805
0	340

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes948.0ms

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	42
1	42
0	30

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.9s	14864×	body	80	nan
449.0ms	640×	body	640	valid
76.0ms	204×	body	320	valid
52.0ms	60×	body	160	valid
10.0ms	16×	body	1280	valid
9.0ms	79×	body	80	valid