Details

analyze19.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

sample13.0ms

Algorithm

intervals

Results

6.0ms	249×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	181	8
1	181	8

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+ x (/ (fabs (- y x)) 2.0))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+ x (/ (fabs (- y x)) 2.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4944	171
1	4944	171

prune30.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Merged error: 0.0b

Counts

16 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))
0.0b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.0b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.4b	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity` `sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

6.0ms	(+ x (/ (fabs (- y x)) 2.0))
6.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series36.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ x (/ (fabs (- y x)) 2.0))
14.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
13.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify34.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4979	1678
1	4979	1678

prune145.0ms

Filtered

67 candidates to 118 candidates (-76.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	116	6	122

Merged error: 0b

Counts

122 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.1b	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.2b	(* (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
0.5b	(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

121×	`sqrt-prod`
74×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`sqrt-div`
29×	`unpow-prod-down` `cube-prod`
26×	`associate-l`
25×	`add-cube-cbrt`
24×	`unswap-sqr`
12×	`pow1` `sqrt-pow1`
10×	`add-exp-log` `associate-r`
9×	`flip3-+` `flip-+`
8×	`cube-div`
7×	`add-cbrt-cube` `distribute-lft-out`
6×	`pow1/2`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `rem-sqrt-square` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 170

Calls

4 calls:

7.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
9.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
23.0ms	(* (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
9.0ms	(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

series81.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
19.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
5.0ms	(* (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
35.0ms	(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

simplify58.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5144	2974

prune239.0ms

Filtered

86 candidates to 182 candidates (-111.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	182	6	188

Merged error: 0b

Counts

188 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 4) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.7b	(pow (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 4)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
27×	`cbrt-prod`
26×	`unpow-prod-down` `*-un-lft-identity`
18×	`sqrt-prod`
16×	`add-cube-cbrt`
14×	`associate-l`
10×	`add-exp-log` `unswap-sqr`
7×	`associate-r`
6×	`pow1` `cbrt-div`
5×	`add-cbrt-cube` `distribute-lft-out`
4×	`pow-pow` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `flip3-+` `pow1/3` `prod-exp` `flip-+`
2×	`pow-to-exp` `sqrt-pow1` `associate-*r/` `pow-exp`
1×	`pow1/2` `*-commutative` `sqrt-pow2` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

19.0ms	(* (pow (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 4) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
8.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms	(pow (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 4)

series79.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (pow (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 4) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
22.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
33.0ms	(pow (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 4)

simplify41.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4971	1947
1	4971	1947

prune193.0ms

Filtered

79 candidates to 113 candidates (-43.0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	113	6	119

Merged error: 0b

Counts

119 → 6

regimes154.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample336.0ms

Algorithm

intervals

Results

182.0ms	7678×	body	80	valid
12.0ms	116×	body	1280	valid
7.0ms	80×	body	640	valid
5.0ms	39×	body	2560	valid
3.0ms	48×	body	320	valid
2.0ms	39×	body	160	valid
0.0ms	4×	body	80	invalid

Details

analyze19.0ms

sample13.0ms

simplify11.0ms

prune3.0ms

localize6.0ms

rewrite6.0ms

series6.0ms

simplify54.0ms

prune30.0ms

localize8.0ms

rewrite39.0ms

series36.0ms

simplify34.0ms

prune145.0ms

localize11.0ms

rewrite55.0ms

series81.0ms

simplify58.0ms

prune239.0ms

localize12.0ms

rewrite43.0ms

series79.0ms

simplify41.0ms

prune193.0ms

regimes154.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample336.0ms

Profiling