Details

sample1.3s

Algorithm

intervals

Results

889.0ms	3897×	body	80	nan
82.0ms	178×	body	640	valid
18.0ms	52×	body	320	valid
3.0ms	12×	body	160	valid
2.0ms	4×	body	1280	valid
1.0ms	10×	body	80	valid

simplify452.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize77.0ms

Local error

Found 4 expressions with local error:

2.0b	(- (sqrt (+ z 1.0)) (sqrt z))
2.3b	(- (sqrt (+ x 1.0)) (sqrt x))
2.7b	(- (sqrt (+ t 1.0)) (sqrt t))
4.5b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite303.0ms

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` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out`

Counts

4 → 76

Calls

4 calls:

67.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
60.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
75.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
98.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series347.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
85.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
82.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
84.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify726.0ms

Counts: 88 → 88

prune608.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.6b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
2.0b	(- (sqrt (+ z 1.0)) (sqrt z))
2.3b	(- (sqrt (+ x 1.0)) (sqrt x))
2.7b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite267.0ms

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×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `associate-/l*`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 107

Calls

4 calls:

81.0ms	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
58.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
57.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
63.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series428.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
81.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
76.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
86.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify817.0ms

Counts: 119 → 119

prune758.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
0.2b	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
2.0b	(- (sqrt (+ z 1.0)) (sqrt z))
2.3b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite247.0ms

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-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
7×	`associate-/l*`
6×	`distribute-lft-out--`
4×	`pow1` `associate-/r/`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `div-inv` `associate-/l/`

Counts

4 → 129

Calls

4 calls:

64.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
78.0ms	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
50.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
48.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series572.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
194.0ms	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
97.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
77.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.2s

Counts: 141 → 141

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
0.2b	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
0.2b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
2.3b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite344.0ms

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-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `flip3-+` `flip-+` `difference-of-squares`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `distribute-lft-out--`
2×	`associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 151

Calls

4 calls:

87.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
89.0ms	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
67.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
93.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series693.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
208.0ms	(/ (+ 1.0 0) (+ (sqrt (+ y 1.0)) (sqrt y)))
184.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
100.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.3s

Counts: 163 → 163

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes953.0ms

bsearch0.0ms

simplify443.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.8s	9095×	body	80	nan
276.0ms	403×	body	640	valid
75.0ms	124×	body	320	valid
52.0ms	37×	body	80	valid
7.0ms	31×	body	160	valid
5.0ms	8×	body	1280	valid