Details

analyze74.0ms

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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
43.7%	43.7%	12.6%	7
53.1%	34.3%	12.6%	8
57.8%	23.4%	18.8%	9
63.2%	18%	18.8%	10
66%	12.1%	22%	11
68.9%	9.2%	22%	12
70.3%	6.1%	23.5%	13
71.9%	4.6%	23.5%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

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: 6.4b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

6.0b	(* x (+ 1.0 (* y y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

5.0ms

(* x (+ 1.0 (* y y)))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(* x (+ 1.0 (* y y)))

simplify69.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4910	304
1	4910	304

prune44.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	19	6	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	20	6	26

Merged error: 6.1b

Counts

26 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (* y y)))
11.3b	(* x (* y y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* x (* y y)))
5.0ms	(* x (* y y))

series17.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* x (* y y)))
7.0ms	(* x (* y y))

simplify50.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5400	398

prune43.0ms

Filtered

23 candidates to 37 candidates (-60.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Merged error: 0.0b

Counts

43 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x y) y))
0.2b	(* (* x y) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* (* x y) y))
5.0ms	(* (* x y) y)

series17.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* (* x y) y))
7.0ms	(* (* x y) y)

simplify42.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5035	376

prune39.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	35	5	40

Merged error: 0.0b

Counts

40 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
2.1b	(* (+ 1.0 (* y y)) (cbrt x))
4.0b	(* (* (cbrt x) (cbrt x)) (* (+ 1.0 (* y y)) (cbrt x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`cbrt-prod`
9×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-r`
4×	`associate-l` `associate-*l/` `add-log-exp`
2×	`flip3-+` `pow1/3` `associate-r/` `-commutative` `flip-+` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(* (+ 1.0 (* y y)) (cbrt x))
11.0ms	(* (* (cbrt x) (cbrt x)) (* (+ 1.0 (* y y)) (cbrt x)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt x)
25.0ms	(cbrt x)
21.0ms	(* (+ 1.0 (* y y)) (cbrt x))
14.0ms	(* (* (cbrt x) (cbrt x)) (* (+ 1.0 (* y y)) (cbrt x)))

simplify85.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4928	883
1	4928	883

prune66.0ms

Filtered

55 candidates to 82 candidates (-49.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	82	5	87

Merged error: 0.0b

Counts

87 → 5

regimes175.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms

sample290.0ms

Algorithm

intervals

Results

170.0ms	8000×	body	80	valid
4.0ms	173×	body	80	invalid

Details

analyze74.0ms

sample12.0ms

simplify7.0ms

prune2.0ms

localize4.0ms

rewrite6.0ms

series14.0ms

simplify69.0ms

prune44.0ms

localize7.0ms

rewrite10.0ms

series17.0ms

simplify50.0ms

prune43.0ms

localize6.0ms

rewrite10.0ms

series17.0ms

simplify42.0ms

prune39.0ms

localize8.0ms

rewrite21.0ms

series82.0ms

simplify85.0ms

prune66.0ms

regimes175.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample290.0ms

Profiling