Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
75%	25%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample8.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	5
1	5	5

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1.0 3.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
3×	`*-un-lft-identity` `add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `times-frac` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`

Counts

1 → 14

Calls

1 calls:

6.0ms

(- x (/ 1.0 3.0))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(- x (/ 1.0 3.0))

simplify30.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5327	142

prune25.0ms

Filtered

13 candidates to 17 candidates (-30.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	2	18

Merged error: 0.0b

Counts

18 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (- x (/ 1.0 3.0)))
0.0b	(- x (/ 1.0 3.0))
0.7b	(log (exp (- x (/ 1.0 3.0))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
12×	`exp-prod` `*-un-lft-identity`
8×	`add-log-exp`
7×	`log-pow`
6×	`add-cube-cbrt` `difference-of-squares`
4×	`pow1` `log-prod`
3×	`add-exp-log` `sub-neg` `times-frac` `add-cbrt-cube` `distribute-lft-out--`
2×	`exp-diff` `diff-log` `exp-sum` `rem-exp-log`
1×	`log-div` `flip3--` `rem-log-exp` `flip--`

Counts

3 → 51

Calls

3 calls:

6.0ms	(exp (- x (/ 1.0 3.0)))
6.0ms	(- x (/ 1.0 3.0))
7.0ms	(log (exp (- x (/ 1.0 3.0))))

series6.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(exp (- x (/ 1.0 3.0)))
2.0ms	(- x (/ 1.0 3.0))
2.0ms	(log (exp (- x (/ 1.0 3.0))))

simplify49.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4944	419
1	4944	419

prune74.0ms

Filtered

43 candidates to 60 candidates (-39.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	60	2	62

Merged error: 0.0b

Counts

62 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) (exp (/ 1.0 3.0)))
0.7b	(log (/ (exp x) (exp (/ 1.0 3.0))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`times-frac`
17×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`log-prod`
4×	`exp-prod` `add-cbrt-cube`
3×	`pow1` `add-exp-log` `associate-/r` `associate-/l`
2×	`div-exp` `rem-log-exp` `log-pow` `div-inv` `add-log-exp` `pow-div`
1×	`cbrt-undiv` `log-div` `frac-2neg` `clear-num`

Counts

2 → 53

Calls

2 calls:

7.0ms	(/ (exp x) (exp (/ 1.0 3.0)))
6.0ms	(log (/ (exp x) (exp (/ 1.0 3.0))))

series40.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ (exp x) (exp (/ 1.0 3.0)))
32.0ms	(log (/ (exp x) (exp (/ 1.0 3.0))))

simplify44.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5666	589

prune84.0ms

Filtered

47 candidates to 59 candidates (-25.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	58	3	61

Merged error: 0b

Counts

61 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1.0 3.0))
0.0b	(- x (/ 1.0 3.0))
1.5b	(log (sqrt (exp (- x (/ 1.0 3.0)))))
1.5b	(log (sqrt (exp (- x (/ 1.0 3.0)))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `log-pow`
14×	`log-prod` `sqrt-pow1`
12×	`exp-prod`
10×	`add-cube-cbrt`
8×	`pow1` `sqrt-prod` `add-log-exp` `difference-of-squares`
6×	`add-exp-log`
4×	`sub-neg` `times-frac` `add-cbrt-cube` `distribute-lft-out--`
2×	`log-div` `flip3--` `pow1/2` `exp-diff` `sqrt-div` `diff-log` `rem-log-exp` `exp-sum` `flip--`

Counts

4 → 78

Calls

4 calls:

6.0ms	(- x (/ 1.0 3.0))
6.0ms	(- x (/ 1.0 3.0))
8.0ms	(log (sqrt (exp (- x (/ 1.0 3.0)))))
8.0ms	(log (sqrt (exp (- x (/ 1.0 3.0)))))

series56.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- x (/ 1.0 3.0))
2.0ms	(- x (/ 1.0 3.0))
27.0ms	(log (sqrt (exp (- x (/ 1.0 3.0)))))
25.0ms	(log (sqrt (exp (- x (/ 1.0 3.0)))))

simplify36.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5531	808

prune174.0ms

Filtered

66 candidates to 90 candidates (-36.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	90	3	93

Merged error: 0b

Counts

93 → 3

regimes55.0ms

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	5	5
1	5	5

end0.0ms

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
75%	25%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample206.0ms

Algorithm

intervals

Results

126.0ms

8000×

body

valid

Details

analyze2.0ms

sample8.0ms

simplify3.0ms

prune2.0ms

localize3.0ms

rewrite6.0ms

series3.0ms

simplify30.0ms

prune25.0ms

localize6.0ms

rewrite20.0ms

series6.0ms

simplify49.0ms

prune74.0ms

localize9.0ms

rewrite14.0ms

series40.0ms

simplify44.0ms

prune84.0ms

localize8.0ms

rewrite30.0ms

series56.0ms

simplify36.0ms

prune174.0ms

regimes55.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze2.0ms

sample206.0ms

Profiling