Details

analyze244.0ms

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
50%	50%	0.1%	4
50%	50%	0.1%	5
68.7%	31.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	14%	12.6%	8
74.1%	13.3%	12.6%	9
74.5%	6.6%	18.8%	10
74.7%	6.4%	18.8%	11
74.8%	3.2%	22%	12
74.9%	3.2%	22%	13
74.9%	1.6%	23.5%	14

sample17.0ms

Algorithm

intervals

Results

7.0ms	255×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	3×	body	80	invalid

simplify469.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	228	7
1	228	7

prune5.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`add-sqr-sqrt`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--` `difference-of-squares`

Counts

1 → 12

Calls

1 calls:

7.0ms

(- (* x x) y)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(- (* x x) y)

simplify40.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5024	111

prune27.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0b

Counts

16 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))
0.5b	(cbrt (- (* x x) y))
0.5b	(cbrt (- (* x x) y))
0.5b	(cbrt (- (* x x) y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
30×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
7×	`swap-sqr` `associate-r` `associate-l` `difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

12.0ms	(* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))
4.0ms	(cbrt (- (* x x) y))
4.0ms	(cbrt (- (* x x) y))
4.0ms	(cbrt (- (* x x) y))

series75.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))
17.0ms	(cbrt (- (* x x) y))
17.0ms	(cbrt (- (* x x) y))
23.0ms	(cbrt (- (* x x) y))

simplify51.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4956	1164
1	4956	1164

prune127.0ms

Filtered

77 candidates to 105 candidates (-36.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	105	3	108

Merged error: 0b

Counts

108 → 3

localize12.0ms

Local error

Found 2 expressions with local error:

3.0b	(- (pow x 4) (* y y))
31.7b	(/ (- (pow x 4) (* y y)) (+ (* x x) y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`times-frac`
15×	`difference-of-squares`
13×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-/l*`
5×	`unpow-prod-down` `sqr-pow`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 58

Calls

2 calls:

5.0ms	(- (pow x 4) (* y y))
10.0ms	(/ (- (pow x 4) (* y y)) (+ (* x x) y))

series16.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(- (pow x 4) (* y y))
9.0ms	(/ (- (pow x 4) (* y y)) (+ (* x x) y))

simplify44.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5520	932

prune92.0ms

Filtered

47 candidates to 64 candidates (-36.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	64	3	67

Merged error: 0b

Counts

67 → 3

regimes194.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

end0.0ms

sample339.0ms

Algorithm

intervals

Results

198.0ms	7999×	body	80	valid
4.0ms	168×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze244.0ms

sample17.0ms

simplify469.0ms

prune5.0ms

localize7.0ms

rewrite9.0ms

series23.0ms

simplify40.0ms

prune27.0ms

localize9.0ms

rewrite28.0ms

series75.0ms

simplify51.0ms

prune127.0ms

localize12.0ms

rewrite16.0ms

series16.0ms

simplify44.0ms

prune92.0ms

regimes194.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample339.0ms

Profiling