Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	69	5
1	69	5

prune3.0ms

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	(sqrt (fabs (- x y)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
1×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

1.0ms

(sqrt (fabs (- x y)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(sqrt (fabs (- x y)))

simplify108.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4784	96
1	4784	96

prune24.0ms

Filtered

10 candidates to 16 candidates (-60.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	3	17

Merged error: 0.0b

Counts

17 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))
0.6b	(cbrt (sqrt (fabs (- x y))))
0.6b	(cbrt (sqrt (fabs (- x y))))
0.6b	(cbrt (sqrt (fabs (- x y))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

7.0ms	(* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))
2.0ms	(cbrt (sqrt (fabs (- x y))))
2.0ms	(cbrt (sqrt (fabs (- x y))))
2.0ms	(cbrt (sqrt (fabs (- x y))))

series49.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))
11.0ms	(cbrt (sqrt (fabs (- x y))))
11.0ms	(cbrt (sqrt (fabs (- x y))))
12.0ms	(cbrt (sqrt (fabs (- x y))))

simplify67.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5350	1134

prune75.0ms

Filtered

61 candidates to 110 candidates (-80.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	109	4	113

Merged error: 0b

Counts

113 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt (fabs (- x y))))
0.6b	(cbrt (sqrt (fabs (- x y))))
0.6b	(cbrt (cbrt (fabs (- x y))))
0.6b	(cbrt (cbrt (sqrt (fabs (- x y)))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-prod`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 59

Calls

4 calls:

2.0ms	(cbrt (sqrt (fabs (- x y))))
2.0ms	(cbrt (sqrt (fabs (- x y))))
1.0ms	(cbrt (cbrt (fabs (- x y))))
2.0ms	(cbrt (cbrt (sqrt (fabs (- x y)))))

series48.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(cbrt (sqrt (fabs (- x y))))
11.0ms	(cbrt (sqrt (fabs (- x y))))
13.0ms	(cbrt (cbrt (fabs (- x y))))
12.0ms	(cbrt (cbrt (sqrt (fabs (- x y)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4810	642
1	4810	642

prune65.0ms

Filtered

49 candidates to 71 candidates (-44.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	71	4	75

Merged error: 0b

Counts

75 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt (fabs (- x y))))
0.6b	(cbrt (sqrt (fabs (- x y))))
0.6b	(cbrt (sqrt (fabs (- x y))))
3.5b	(exp (log (cbrt (sqrt (fabs (- x y))))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`sqrt-prod`
9×	`log-prod` `exp-sum`
5×	`pow1` `exp-prod`
4×	`add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`log-pow`
1×	`rem-exp-log`

Counts

4 → 64

Calls

4 calls:

2.0ms	(cbrt (sqrt (fabs (- x y))))
2.0ms	(cbrt (sqrt (fabs (- x y))))
2.0ms	(cbrt (sqrt (fabs (- x y))))
4.0ms	(exp (log (cbrt (sqrt (fabs (- x y))))))

series48.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(cbrt (sqrt (fabs (- x y))))
11.0ms	(cbrt (sqrt (fabs (- x y))))
13.0ms	(cbrt (sqrt (fabs (- x y))))
12.0ms	(exp (log (cbrt (sqrt (fabs (- x y))))))

simplify68.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4817	632
1	4817	632

prune61.0ms

Filtered

52 candidates to 76 candidates (-46.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	76	4	80

Merged error: 0b

Counts

80 → 4

regimes211.0ms

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	15	5
1	15	5

end0.0ms

sample292.0ms

Algorithm

intervals

Results

173.0ms

8000×

body

valid

Details

analyze2.0ms

sample12.0ms

simplify4.0ms

prune3.0ms

localize4.0ms

rewrite2.0ms

series5.0ms

simplify108.0ms

prune24.0ms

localize8.0ms

rewrite15.0ms

series49.0ms

simplify67.0ms

prune75.0ms

localize14.0ms

rewrite8.0ms

series48.0ms

simplify57.0ms

prune65.0ms

localize12.0ms

rewrite10.0ms

series48.0ms

simplify68.0ms

prune61.0ms

regimes211.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample292.0ms

Profiling