Details

analyze270.0ms

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

63.0ms	162×	body	640	valid
32.0ms	342×	body	80	nan
17.0ms	59×	body	320	valid
2.0ms	5×	body	1280	valid
2.0ms	11×	body	160	valid
2.0ms	19×	body	80	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

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: 7.1b

Counts

2 → 2

localize26.0ms

Local error

Found 4 expressions with local error:

1.5b	(- (sqrt (+ z 1.0)) (sqrt z))
2.8b	(- (sqrt (+ y 1.0)) (sqrt y))
3.2b	(- (sqrt (+ x 1.0)) (sqrt x))
3.5b	(- (sqrt (+ t 1.0)) (sqrt t))

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

series42.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4985	1360
1	4985	1360

prune231.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	81	5	86

Merged error: 0.7b

Counts

86 → 5

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 z)) (sqrt z)))
2.8b	(- (sqrt (+ y 1.0)) (sqrt y))
3.2b	(- (sqrt (+ x 1.0)) (sqrt x))
3.5b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite39.0ms

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

series41.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify39.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4957	1837
1	4957	1837

prune289.0ms

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	2	2	4
Picked	1	0	1
Done	0	0	0
Total	115	6	121

Merged error: 0.4b

Counts

121 → 6

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 z)) (sqrt z)))
0.2b	(/ 1.0 (+ (sqrt (+ 1.0 y)) (sqrt y)))
3.2b	(- (sqrt (+ x 1.0)) (sqrt x))
3.5b	(- (sqrt (+ t 1.0)) (sqrt t))

rewrite41.0ms

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

series40.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify41.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5041	2132

prune348.0ms

Filtered

89 candidates to 139 candidates (-56.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	135	4	139
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	138	7	145

Merged error: 0.2b

Counts

145 → 7

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ (sqrt (+ t 1.0)) (sqrt t)))
0.2b	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 z)) (sqrt z)))
0.2b	(/ 1.0 (+ (sqrt (+ 1.0 y)) (sqrt y)))
3.2b	(- (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 (+ t 1.0)) (sqrt t)))
12.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 z)) (sqrt z)))
9.0ms	(/ 1.0 (+ (sqrt (+ 1.0 y)) (sqrt y)))
8.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series40.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify61.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5886	2423

prune413.0ms

Filtered

101 candidates to 162 candidates (-60.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	159	3	162
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	162	7	169

Merged error: 0.0b

Counts

169 → 7

regimes926.0ms

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

sample4.1s

Algorithm

intervals

Results

2.0s	5257×	body	640	valid
927.0ms	9538×	body	80	nan
441.0ms	1535×	body	320	valid
84.0ms	448×	body	160	valid
70.0ms	144×	body	1280	valid
58.0ms	616×	body	80	valid

Details

analyze270.0ms

sample142.0ms

simplify37.0ms

prune17.0ms

localize26.0ms

rewrite34.0ms

series42.0ms

simplify44.0ms

prune231.0ms

localize30.0ms

rewrite39.0ms

series41.0ms

simplify39.0ms

prune289.0ms

localize30.0ms

rewrite41.0ms

series40.0ms

simplify41.0ms

prune348.0ms

localize31.0ms

rewrite44.0ms

series40.0ms

simplify61.0ms

prune413.0ms

regimes926.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.1s

Profiling