Details

analyze298.0ms

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

sample406.0ms

Algorithm

intervals

Results

260.0ms	168×	body	640	valid
16.0ms	50×	body	320	valid
3.0ms	15×	body	160	valid
2.0ms	4×	body	1280	valid
2.0ms	19×	body	80	valid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5040	31

prune21.0ms

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: 4.3b

Counts

2 → 2

localize28.0ms

Local error

Found 4 expressions with local error:

27.0b	(- (sqrt (+ x 1.0)) (sqrt x))
28.6b	(- (sqrt (+ y 1.0)) (sqrt y))
28.7b	(- (sqrt (+ t 1.0)) (sqrt t))
29.8b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite33.0ms

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

series39.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4985	1360
1	4985	1360

prune272.0ms

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: 0.6b

Counts

86 → 9

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 y)) (sqrt y)))
27.0b	(- (sqrt (+ x 1.0)) (sqrt x))
28.7b	(- (sqrt (+ t 1.0)) (sqrt t))
29.8b	(- (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 (+ x 1.0)) (sqrt x))
8.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
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 (+ x 1.0)) (sqrt x))
9.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
9.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify42.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4959	1837
1	4959	1837

prune320.0ms

Filtered

78 candidates to 116 candidates (-48.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	111	5	116
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	117	8	125

Merged error: 0.3b

Counts

125 → 8

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 y)) (sqrt y)))
0.1b	(/ 1.0 (+ (sqrt (+ 1.0 t)) (sqrt t)))
27.0b	(- (sqrt (+ x 1.0)) (sqrt x))
29.8b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite42.0ms

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

series41.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify59.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5574	2128

prune364.0ms

Filtered

89 candidates to 139 candidates (-56.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	140	7	147

Merged error: 0.2b

Counts

147 → 7

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))
0.1b	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 y)) (sqrt y)))
0.1b	(/ 1.0 (+ (sqrt (+ 1.0 t)) (sqrt t)))
27.0b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite44.0ms

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

series40.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify65.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5886	2423

prune375.0ms

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	1	5	6
Picked	1	0	1
Done	0	0	0
Total	161	8	169

Merged error: 0.0b

Counts

169 → 8

regimes1.6s

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b 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

sample6.8s

Algorithm

intervals

Results

2.3s	5226×	body	640	valid
513.0ms	1562×	body	320	valid
99.0ms	462×	body	160	valid
76.0ms	136×	body	1280	valid
66.0ms	614×	body	80	valid

Details

analyze298.0ms

sample406.0ms

simplify40.0ms

prune21.0ms

localize28.0ms

rewrite33.0ms

series39.0ms

simplify43.0ms

prune272.0ms

localize30.0ms

rewrite41.0ms

series37.0ms

simplify42.0ms

prune320.0ms

localize34.0ms

rewrite42.0ms

series41.0ms

simplify59.0ms

prune364.0ms

localize36.0ms

rewrite44.0ms

series40.0ms

simplify65.0ms

prune375.0ms

regimes1.6s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.8s

Profiling