Details

analyze22.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

prune2.0ms

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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x y) (- x y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

7.0ms

(/ (+ x y) (- x y))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(/ (+ x y) (- x y))

simplify58.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5062	533

prune72.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	4	49

Merged error: 0.0b

Counts

49 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (exp (/ (+ x y) (- x y))))
0.0b	(exp (/ (+ x y) (- x y)))
0.0b	(/ (+ x y) (- x y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
35×	`add-cube-cbrt`
27×	`log-pow`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `associate-/l*` `add-log-exp`
3×	`log-prod` `flip3--` `flip--` `div-inv`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 117

Calls

3 calls:

9.0ms	(log (exp (/ (+ x y) (- x y))))
8.0ms	(exp (/ (+ x y) (- x y)))
7.0ms	(/ (+ x y) (- x y))

series28.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(log (exp (/ (+ x y) (- x y))))
11.0ms	(exp (/ (+ x y) (- x y)))
8.0ms	(/ (+ x y) (- x y))

simplify55.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4946	1165
1	4946	1165

prune140.0ms

Filtered

85 candidates to 126 candidates (-48.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	124	6	130

Merged error: 0.0b

Counts

130 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (+ x y) (- x y)))
0.0b	(/ (+ x y) (- x y))
0.8b	(cbrt (pow (exp (/ (+ x y) (- x y))) 3))
1.0b	(pow (exp (/ (+ x y) (- x y))) 3)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
67×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
41×	`add-cube-cbrt`
27×	`pow-pow`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`cbrt-prod`
7×	`add-cbrt-cube`
6×	`add-exp-log` `unpow-prod-down` `cube-prod` `associate-/r/`
5×	`pow1` `associate-/r*` `add-log-exp`
4×	`associate-/l*`
3×	`pow-unpow` `flip3--` `flip--` `div-inv`
2×	`cube-mult` `unpow3` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `flip3-+` `pow1/3` `div-exp` `pow-exp` `clear-num` `rem-cbrt-cube` `flip-+` `rem-exp-log` `rem-cube-cbrt`

Counts

4 → 149

Calls

4 calls:

8.0ms	(exp (/ (+ x y) (- x y)))
7.0ms	(/ (+ x y) (- x y))
8.0ms	(cbrt (pow (exp (/ (+ x y) (- x y))) 3))
11.0ms	(pow (exp (/ (+ x y) (- x y))) 3)

series71.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(exp (/ (+ x y) (- x y)))
13.0ms	(/ (+ x y) (- x y))
15.0ms	(cbrt (pow (exp (/ (+ x y) (- x y))) 3))
24.0ms	(pow (exp (/ (+ x y) (- x y))) 3)

simplify51.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5295	1626

prune199.0ms

Filtered

99 candidates to 161 candidates (-62.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	159	2	161
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	161	6	167

Merged error: 0b

Counts

167 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (log (exp (pow (exp (/ (+ x y) (- x y))) 3))))
0.8b	(log (exp (pow (exp (/ (+ x y) (- x y))) 3)))
0.8b	(exp (pow (exp (/ (+ x y) (- x y))) 3))
1.0b	(pow (exp (/ (+ x y) (- x y))) 3)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

62×	`exp-prod`
46×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
27×	`pow-pow`
26×	`log-pow`
20×	`times-frac`
16×	`cbrt-prod`
12×	`unpow-prod-down` `cube-prod`
7×	`pow1`
5×	`add-cbrt-cube` `distribute-lft-out` `add-log-exp`
4×	`add-exp-log` `cube-mult` `unpow3` `distribute-lft-out--` `difference-of-squares` `sqr-pow`
3×	`pow-unpow` `log-prod`
2×	`associate-/r/`
1×	`pow-to-exp` `flip3--` `pow1/3` `rem-log-exp` `pow-exp` `flip--` `div-inv` `rem-exp-log` `rem-cube-cbrt`

Counts

4 → 117

Calls

4 calls:

9.0ms	(cbrt (log (exp (pow (exp (/ (+ x y) (- x y))) 3))))
9.0ms	(log (exp (pow (exp (/ (+ x y) (- x y))) 3)))
12.0ms	(exp (pow (exp (/ (+ x y) (- x y))) 3))
11.0ms	(pow (exp (/ (+ x y) (- x y))) 3)

series122.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(cbrt (log (exp (pow (exp (/ (+ x y) (- x y))) 3))))
24.0ms	(log (exp (pow (exp (/ (+ x y) (- x y))) 3)))
61.0ms	(exp (pow (exp (/ (+ x y) (- x y))) 3))
25.0ms	(pow (exp (/ (+ x y) (- x y))) 3)

simplify56.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4915	1316
1	4915	1316

prune160.0ms

Filtered

78 candidates to 129 candidates (-65.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	129	6	135

Merged error: 0b

Counts

135 → 6

regimes133.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	8	9

end0.0ms

analyze23.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

sample285.0ms

Algorithm

intervals

Results

169.0ms

8000×

body

valid

Details

analyze22.0ms

sample11.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite8.0ms

series8.0ms

simplify58.0ms

prune72.0ms

localize10.0ms

rewrite29.0ms

series28.0ms

simplify55.0ms

prune140.0ms

localize14.0ms

rewrite39.0ms

series71.0ms

simplify51.0ms

prune199.0ms

localize16.0ms

rewrite45.0ms

series122.0ms

simplify56.0ms

prune160.0ms

regimes133.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze23.0ms

sample285.0ms

Profiling