Details

analyze267.0ms

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

64.0ms	158×	body	640	valid
33.0ms	351×	body	80	nan
14.0ms	50×	body	320	valid
3.0ms	7×	body	1280	valid
3.0ms	16×	body	160	valid
2.0ms	25×	body	80	valid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4993	31
1	4993	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: 6.2b

Counts

2 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

1.9b	(- (sqrt (+ t 1.0)) (sqrt t))
2.8b	(- (sqrt (+ z 1.0)) (sqrt z))
2.9b	(- (sqrt (+ y 1.0)) (sqrt y))
3.8b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite35.0ms

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:

7.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
8.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
10.0ms	(- (sqrt (+ y 1.0)) (sqrt y))
8.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series37.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify59.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4874	1428
1	4874	1428

prune284.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	76	8	84
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	78	8	86

Merged error: 1.1b

Counts

86 → 8

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 y)) (sqrt y)))
1.9b	(- (sqrt (+ t 1.0)) (sqrt t))
2.8b	(- (sqrt (+ z 1.0)) (sqrt z))
3.8b	(- (sqrt (+ x 1.0)) (sqrt x))

rewrite40.0ms

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)))
7.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
8.0ms	(- (sqrt (+ z 1.0)) (sqrt z))
8.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

series36.0ms

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 (+ z 1.0)) (sqrt z))
9.0ms	(- (sqrt (+ x 1.0)) (sqrt x))

simplify59.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5295	1833

prune349.0ms

Filtered

78 candidates to 116 candidates (-48.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	109	7	116
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	115	9	124

Merged error: 0.6b

Counts

124 → 9

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 (+ x 1.0)) (sqrt x)))
1.9b	(- (sqrt (+ t 1.0)) (sqrt t))
2.8b	(- (sqrt (+ z 1.0)) (sqrt z))

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

series40.0ms

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)))
9.0ms	(- (sqrt (+ t 1.0)) (sqrt t))
13.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

simplify48.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4943	2156
1	4943	2156

prune430.0ms

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	1	7	8
Picked	1	0	1
Done	0	0	0
Total	139	9	148

Merged error: 0.4b

Counts

148 → 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 (- t t)) (+ (sqrt (+ 1.0 t)) (sqrt t)))
2.8b	(- (sqrt (+ z 1.0)) (sqrt z))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

201×	`*-un-lft-identity`
82×	`distribute-lft-out`
72×	`times-frac`
68×	`sqrt-prod`
48×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
18×	`associate-/r*`
12×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
6×	`associate-/r/` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`pow1` `associate-/l/` `difference-of-squares`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`associate-+r-` `sub-neg` `flip3--` `diff-log` `div-sub` `flip--`

Counts

4 → 167

Calls

4 calls:

12.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 y)) (sqrt y)))
10.0ms	(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))
17.0ms	(/ (+ 1.0 (- t t)) (+ (sqrt (+ 1.0 t)) (sqrt t)))
8.0ms	(- (sqrt (+ z 1.0)) (sqrt z))

series39.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify58.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4928	2679
1	4928	2679

prune432.0ms

Filtered

106 candidates to 179 candidates (-68.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	178	10	188

Merged error: 0.4b

Counts

188 → 10

regimes1.3s

Accuracy

0% (1.2b remaining)

Error of 1.5b against oracle of 0.3b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	131	41
1	131	41

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.3s	5221×	body	640	valid
966.0ms	9918×	body	80	nan
456.0ms	1557×	body	320	valid
89.0ms	458×	body	160	valid
69.0ms	630×	body	80	valid
68.0ms	134×	body	1280	valid

Details

analyze267.0ms

sample142.0ms

simplify34.0ms

prune18.0ms

localize22.0ms

rewrite35.0ms

series37.0ms

simplify59.0ms

prune284.0ms

localize25.0ms

rewrite40.0ms

series36.0ms

simplify59.0ms

prune349.0ms

localize28.0ms

rewrite41.0ms

series40.0ms

simplify48.0ms

prune430.0ms

localize29.0ms

rewrite56.0ms

series39.0ms

simplify58.0ms

prune432.0ms

regimes1.3s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.3s

Profiling