Details

analyze65.0ms

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
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	50%	6.3%	6
43.7%	43.7%	12.6%	7
59.3%	26.5%	14.1%	8
59.3%	22.6%	18%	9
67.1%	13.7%	19.2%	10
67.1%	11.5%	21.4%	11
71%	6.9%	22%	12
71%	5.8%	23.2%	13
73%	3.5%	23.5%	14

sample13.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	3×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

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: 21.3b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
19.8b	(sqrt (+ (* x x) y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-log-exp`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

2 → 26

Calls

2 calls:

3.0ms	(+ (* x x) y)
4.0ms	(sqrt (+ (* x x) y))

series9.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify22.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5020	261

prune40.0ms

Filtered

25 candidates to 32 candidates (-28.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Merged error: 0b

Counts

33 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (neg x) (* y (/ -1/2 x)))
0.2b	(* y (/ -1/2 x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`pow1`
3×	`associate-l`
2×	`prod-exp` `sum-log` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `associate-+l-` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `neg-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 45

Calls

2 calls:

4.0ms	(+ (neg x) (* y (/ -1/2 x)))
6.0ms	(* y (/ -1/2 x))

series8.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (neg x) (* y (/ -1/2 x)))
3.0ms	(* y (/ -1/2 x))

simplify52.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4975	400
1	4975	400

prune48.0ms

Filtered

35 candidates to 51 candidates (-45.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	51	3	54

Merged error: 0b

Counts

54 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (/ 1/2 x)))
0.2b	(* y (/ 1/2 x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 43

Calls

2 calls:

2.0ms	(+ x (* y (/ 1/2 x)))
9.0ms	(* y (/ 1/2 x))

series8.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ x (* y (/ 1/2 x)))
3.0ms	(* y (/ 1/2 x))

simplify50.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4983	372
1	4983	372

prune48.0ms

Filtered

34 candidates to 49 candidates (-44.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	49	3	52

Merged error: 0b

Counts

52 → 3

regimes199.0ms

Accuracy

97.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 21.2b

bsearch74.0ms

Steps

Iters	Range		Point
9	4.3366400316756005e+49	1.5177221126749792e+56	5.739851454203728e+55
9	-1.0741276254827311e+136	-4.0120126860959457e+130	-8.99995825258274e+135

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	29
1	25	29

end0.0ms

analyze67.0ms

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
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	50%	6.3%	6
43.7%	43.7%	12.6%	7
59.3%	26.5%	14.1%	8
59.3%	22.6%	18%	9
67.1%	13.7%	19.2%	10
67.1%	11.5%	21.4%	11
71%	6.9%	22%	12
71%	5.8%	23.2%	13
73%	3.5%	23.5%	14

sample316.0ms

Algorithm

intervals

Results

189.0ms	8000×	body	80	valid
7.0ms	178×	body	80	nan

Details

analyze65.0ms

sample13.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite7.0ms

series9.0ms

simplify22.0ms

prune40.0ms

localize5.0ms

rewrite11.0ms

series8.0ms

simplify52.0ms

prune48.0ms

localize4.0ms

rewrite12.0ms

series8.0ms

simplify50.0ms

prune48.0ms

regimes199.0ms

bsearch74.0ms

simplify1.0ms

end0.0ms

analyze67.0ms

sample316.0ms

Profiling