Details

analyze69.0ms

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
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	9
1	38	9

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y (* y 3)))
0.1b	(* y (* y 3))

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-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+ (* x x) (* y (* y 3)))
5.0ms	(* y (* y 3))

series10.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (* x x) (* y (* y 3)))
3.0ms	(* y (* y 3))

simplify60.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4932	279
1	4932	279

prune50.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Merged error: 0.0b

Counts

37 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* (* y y) 3))
0.2b	(* (* y y) 3)

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-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

4.0ms	(+ (* x x) (* (* y y) 3))
5.0ms	(* (* y y) 3)

series13.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* x x) (* (* y y) 3))
3.0ms	(* (* y y) 3)

simplify36.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4939	289
1	4939	289

prune42.0ms

Filtered

20 candidates to 36 candidates (-80.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	36	6	42

Merged error: 0.0b

Counts

42 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
0.1b	(* y (* (cbrt 3) (cbrt 3)))
0.2b	(* y (* y (* (cbrt 3) (cbrt 3))))
0.3b	(* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
22×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`associate-l`
6×	`add-log-exp`
3×	`cbrt-prod` `*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

5.0ms	(+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
7.0ms	(* y (* (cbrt 3) (cbrt 3)))
9.0ms	(* y (* y (* (cbrt 3) (cbrt 3))))
14.0ms	(* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))

series35.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
8.0ms	(* y (* (cbrt 3) (cbrt 3)))
8.0ms	(* y (* y (* (cbrt 3) (cbrt 3))))
9.0ms	(* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))

simplify43.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5003	679

prune108.0ms

Filtered

50 candidates to 90 candidates (-80.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	89	7	96

Merged error: 0b

Counts

96 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (* y 3))
0.2b	(* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))))
7.1b	(sqrt (+ (* y (* y 3)) (* x x)))
7.1b	(sqrt (+ (* y (* y 3)) (* x x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

5.0ms	(* y (* y 3))
14.0ms	(* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))))
7.0ms	(sqrt (+ (* y (* y 3)) (* x x)))
5.0ms	(sqrt (+ (* y (* y 3)) (* x x)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* y (* y 3))
6.0ms	(* (sqrt (+ (* y (* y 3)) (* x x))) (sqrt (+ (* y (* y 3)) (* x x))))
8.0ms	(sqrt (+ (* y (* y 3)) (* x x)))
8.0ms	(sqrt (+ (* y (* y 3)) (* x x)))

simplify71.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4941	1296
1	4941	1296

prune124.0ms

Filtered

66 candidates to 117 candidates (-77.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	117	7	124

Merged error: 0b

Counts

124 → 7

regimes190.0ms

Accuracy

0% (0.1b 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	10	9
1	10	9

end0.0ms

sample353.0ms

Algorithm

intervals

Results

230.0ms	8000×	body	80	valid
0.0ms	5×	body	80	invalid

Details

analyze69.0ms

sample14.0ms

simplify3.0ms

prune8.0ms

localize5.0ms

rewrite10.0ms

series10.0ms

simplify60.0ms

prune50.0ms

localize5.0ms

rewrite10.0ms

series13.0ms

simplify36.0ms

prune42.0ms

localize9.0ms

rewrite36.0ms

series35.0ms

simplify43.0ms

prune108.0ms

localize8.0ms

rewrite34.0ms

series25.0ms

simplify71.0ms

prune124.0ms

regimes190.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample353.0ms

Profiling