Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	18.7%	6.3%	5
75%	9.4%	15.7%	6
75%	4.7%	20.4%	7
75%	2.3%	22.7%	8
75%	1.2%	23.9%	9
75%	0.6%	24.5%	10
75%	0.3%	24.7%	11
75%	0.1%	24.9%	12
75%	0.1%	25%	13
75%	0%	25%	14

sample9.0ms

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	6	5
1	6	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: 0.4b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.4b	(/ 1.0 (* x x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ 1.0 (* x x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ 1.0 (* x x))

simplify36.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5024	152

prune37.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Merged error: 0.0b

Counts

25 → 4

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (/ 1.0 x) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

6.0ms

(/ (/ 1.0 x) x)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ (/ 1.0 x) x)

simplify88.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4714	702
1	4714	702

prune85.0ms

Filtered

48 candidates to 73 candidates (-52.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1.0 (* x x))
20.2b	(cbrt (/ 1.0 (* x x)))
20.2b	(cbrt (/ 1.0 (* x x)))
20.2b	(cbrt (/ 1.0 (* x x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

4.0ms	(/ 1.0 (* x x))
3.0ms	(cbrt (/ 1.0 (* x x)))
4.0ms	(cbrt (/ 1.0 (* x x)))
3.0ms	(cbrt (/ 1.0 (* x x)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ 1.0 (* x x))
25.0ms	(cbrt (/ 1.0 (* x x)))
28.0ms	(cbrt (/ 1.0 (* x x)))
26.0ms	(cbrt (/ 1.0 (* x x)))

simplify42.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5167	615

prune145.0ms

Filtered

58 candidates to 81 candidates (-39.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	80	7	87

Merged error: 0.0b

Counts

87 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1.0 (* x x))
20.2b	(cbrt (* 1.0 (pow x -2)))
20.2b	(cbrt (/ 1.0 (* x x)))
20.2b	(cbrt (/ 1.0 (* x x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `times-frac` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `cbrt-div` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

4 → 62

Calls

4 calls:

4.0ms	(/ 1.0 (* x x))
3.0ms	(cbrt (* 1.0 (pow x -2)))
3.0ms	(cbrt (/ 1.0 (* x x)))
3.0ms	(cbrt (/ 1.0 (* x x)))

series103.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ 1.0 (* x x))
26.0ms	(cbrt (* 1.0 (pow x -2)))
34.0ms	(cbrt (/ 1.0 (* x x)))
40.0ms	(cbrt (/ 1.0 (* x x)))

simplify62.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4871	538
1	4871	538

prune139.0ms

Filtered

55 candidates to 74 candidates (-34.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	73	8	81

Merged error: 0.0b

Counts

81 → 8

regimes242.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	4	5

end0.0ms

sample223.0ms

Algorithm

intervals

Results

135.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze3.0ms

sample9.0ms

simplify3.0ms

prune2.0ms

localize3.0ms

rewrite5.0ms

series3.0ms

simplify36.0ms

prune37.0ms

localize3.0ms

rewrite9.0ms

series3.0ms

simplify88.0ms

prune85.0ms

localize7.0ms

rewrite16.0ms

series81.0ms

simplify42.0ms

prune145.0ms

localize11.0ms

rewrite15.0ms

series103.0ms

simplify62.0ms

prune139.0ms

regimes242.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample223.0ms

Profiling