Details

analyze255.0ms

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

61.0ms	164×	body	640	valid
32.0ms	322×	body	80	nan
14.0ms	50×	body	320	valid
4.0ms	8×	body	1280	valid
2.0ms	11×	body	160	valid
2.0ms	23×	body	80	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5040	31

prune18.0ms

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: 5.1b

Counts

2 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

1.6b	(- (sqrt (+ y 1.0)) (sqrt y))
2.2b	(- (sqrt (+ t 1.0)) (sqrt t))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))
3.4b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite39.0ms

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:

11.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
8.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
8.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
8.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series47.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
9.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
9.0ms	(- (sqrt (+ x 1.0)) (sqrt x))
19.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4985	1360
1	4985	1360

prune254.0ms

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: 0.8b

Counts

86 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 y)) (sqrt y)))
2.2b	(- (sqrt (+ t 1.0)) (sqrt t))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))
3.4b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite41.0ms

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:

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

series37.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify44.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4959	1837
1	4959	1837

prune312.0ms

Filtered

78 candidates to 116 candidates (-48.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	112	4	116
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	115	10	125

Merged error: 0.3b

Counts

125 → 10

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 y)) (sqrt y)))
0.2b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
2.2b	(- (sqrt (+ t 1.0)) (sqrt t))
3.1b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite43.0ms

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:

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

series40.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify44.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5041	2132

prune350.0ms

Filtered

90 candidates to 139 candidates (-54.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	140	9	149

Merged error: 0.2b

Counts

149 → 9

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

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:

12.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 y)) (sqrt y)))
10.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
9.0ms	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
8.0ms	(- (sqrt (+ t 1.0)) (sqrt t))

series41.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify65.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5844	2423

prune385.0ms

Filtered

102 candidates to 162 candidates (-58.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	158	4	162
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	161	10	171

Merged error: 0.0b

Counts

171 → 10

regimes1.4s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	39
1	42	39

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.0s	5172×	body	640	valid
932.0ms	9782×	body	80	nan
446.0ms	1577×	body	320	valid
94.0ms	490×	body	160	valid
66.0ms	140×	body	1280	valid
59.0ms	621×	body	80	valid

Details

analyze255.0ms

sample134.0ms

simplify37.0ms

prune18.0ms

localize22.0ms

rewrite39.0ms

series47.0ms

simplify43.0ms

prune254.0ms

localize24.0ms

rewrite41.0ms

series37.0ms

simplify44.0ms

prune312.0ms

localize28.0ms

rewrite43.0ms

series40.0ms

simplify44.0ms

prune350.0ms

localize29.0ms

rewrite46.0ms

series41.0ms

simplify65.0ms

prune385.0ms

regimes1.4s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.0s

Profiling