Details

analyze262.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
6.2%	93.6%	0.2%	5
6.2%	68.6%	25.1%	6
6.2%	49.9%	43.9%	7
6.2%	35.9%	57.9%	8
6.2%	25.3%	68.4%	9
6.2%	20.1%	73.7%	10
6.2%	15.7%	78.1%	11
6.2%	12%	81.7%	12
6.2%	9%	84.8%	13
6.2%	7.5%	86.3%	14

sample134.0ms

Algorithm

intervals

Results

64.0ms	161×	body	640	valid
27.0ms	283×	body	80	nan
16.0ms	55×	body	320	valid
3.0ms	6×	body	1280	valid
3.0ms	14×	body	160	valid
2.0ms	20×	body	80	valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5040	31

prune17.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 5.9b

Counts

2 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

1.6b	(- (sqrt (+ z 1.0)) (sqrt z))
3.0b	(- (sqrt (+ t 1.0)) (sqrt t))
3.4b	(- (sqrt (+ x 1.0)) (sqrt x))
3.8b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite34.0ms

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 → 72

Calls

4 calls:

8.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
8.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
8.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
8.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series43.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
14.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
10.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
10.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4985	1360
1	4985	1360

prune264.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	75	9	84
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	77	9	86

Merged error: 0.9b

Counts

86 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
1.6b	(- (sqrt (+ z 1.0)) (sqrt z))
3.0b	(- (sqrt (+ t 1.0)) (sqrt t))
3.8b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite44.0ms

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 → 104

Calls

4 calls:

15.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
8.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
8.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
8.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series39.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
10.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
10.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
10.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

simplify40.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4947	1837
1	4947	1837

prune299.0ms

Filtered

78 candidates to 116 candidates (-48.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	112	4	116
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	118	7	125

Merged error: 0.4b

Counts

125 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
0.2b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
1.6b	(- (sqrt (+ z 1.0)) (sqrt z))
3.0b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite46.0ms

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 → 127

Calls

4 calls:

15.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
10.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
8.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
8.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series38.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
9.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
10.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
10.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify43.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5047	2132

prune375.0ms

Filtered

90 candidates to 139 candidates (-54.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	135	4	139
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	138	8	146

Merged error: 0.3b

Counts

146 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
0.2b	(/ 1.0 (+ (sqrt (+ 1.0 z)) (sqrt z)))
0.2b	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
3.0b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite48.0ms

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 → 150

Calls

4 calls:

14.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
9.0ms	(/ 1.0 (+ (sqrt (+ 1.0 z)) (sqrt z)))
10.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
8.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series39.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
9.0ms	(/ 1.0 (+ (sqrt (+ 1.0 z)) (sqrt z)))
9.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
11.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify64.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5844	2423

prune368.0ms

Filtered

101 candidates to 162 candidates (-60.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	159	3	162
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	162	8	170

Merged error: 0.0b

Counts

170 → 8

regimes944.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	39
1	42	39

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.1s	5235×	body	640	valid
953.0ms	9728×	body	80	nan
462.0ms	1574×	body	320	valid
98.0ms	511×	body	160	valid
66.0ms	134×	body	1280	valid
54.0ms	546×	body	80	valid

Details

analyze262.0ms

sample134.0ms

simplify38.0ms

prune17.0ms

localize24.0ms

rewrite34.0ms

series43.0ms

simplify44.0ms

prune264.0ms

localize25.0ms

rewrite44.0ms

series39.0ms

simplify40.0ms

prune299.0ms

localize26.0ms

rewrite46.0ms

series38.0ms

simplify43.0ms

prune375.0ms

localize27.0ms

rewrite48.0ms

series39.0ms

simplify64.0ms

prune368.0ms

regimes944.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.1s

Profiling