Details

analyze269.0ms

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

sample142.0ms

Algorithm

intervals

Results

66.0ms	163×	body	640	valid
30.0ms	306×	body	80	nan
18.0ms	62×	body	320	valid
2.0ms	5×	body	1280	valid
2.0ms	11×	body	160	valid
1.0ms	15×	body	80	valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5880	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: 6.7b

Counts

2 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

2.0b	(- (sqrt (+ t 1.0)) (sqrt t))
2.9b	(- (sqrt (+ y 1.0)) (sqrt y))
3.7b	(- (sqrt (+ z 1.0)) (sqrt z))
4.0b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite36.0ms

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:

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

series40.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify29.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5119	1364

prune264.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	78	6	84
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	80	6	86

Merged error: 0.9b

Counts

86 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
2.0b	(- (sqrt (+ t 1.0)) (sqrt t))
2.9b	(- (sqrt (+ y 1.0)) (sqrt y))
3.7b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite42.0ms

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:

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

series42.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify39.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5316	1781

prune301.0ms

Filtered

78 candidates to 116 candidates (-48.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	112	4	116
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	116	6	122

Merged error: 0.3b

Counts

122 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
0.1b	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
2.0b	(- (sqrt (+ t 1.0)) (sqrt t))
2.9b	(- (sqrt (+ y 1.0)) (sqrt y))

rewrite44.0ms

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:

9.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
12.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
7.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
8.0ms	(- (sqrt (+ y 1.0)) (sqrt y))

series38.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify57.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4889	2086
1	4889	2086

prune362.0ms

Filtered

90 candidates to 139 candidates (-54.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	136	3	139
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	139	6	145

Merged error: 0.0b

Counts

145 → 6

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

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:

9.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
9.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
12.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
8.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series43.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))
9.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
13.0ms	(/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))
10.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

simplify46.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5030	2399

prune388.0ms

Filtered

102 candidates to 162 candidates (-58.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	158	4	162
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	160	8	168

Merged error: 0.0b

Counts

168 → 8

regimes1.2s

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

analyze264.0ms

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

sample4.3s

Algorithm

intervals

Results

2.2s	5117×	body	640	valid
930.0ms	9437×	body	80	nan
491.0ms	1650×	body	320	valid
86.0ms	446×	body	160	valid
65.0ms	131×	body	1280	valid
64.0ms	656×	body	80	valid

Details

analyze269.0ms

sample142.0ms

simplify38.0ms

prune17.0ms

localize22.0ms

rewrite36.0ms

series40.0ms

simplify29.0ms

prune264.0ms

localize25.0ms

rewrite42.0ms

series42.0ms

simplify39.0ms

prune301.0ms

localize26.0ms

rewrite44.0ms

series38.0ms

simplify57.0ms

prune362.0ms

localize31.0ms

rewrite45.0ms

series43.0ms

simplify46.0ms

prune388.0ms

regimes1.2s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze264.0ms

sample4.3s

Profiling