Details

analyze48.0ms

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
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	950	9
1	950	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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.2b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`associate-l`
6×	`add-cube-cbrt` `associate-r` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `difference-of-squares`
3×	`flip3--` `flip--`
2×	`times-frac` `*-commutative` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

6.0ms	(- x (/ 16.0 116.0))
8.0ms	(* (- x (/ 16.0 116.0)) 3.0)
10.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series11.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(- x (/ 16.0 116.0))
3.0ms	(* (- x (/ 16.0 116.0)) 3.0)
5.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify44.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5099	586

prune92.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	60	6	66
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	60	8	68

Merged error: 0.0b

Counts

68 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.3b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-l`
4×	`add-log-exp` `difference-of-squares`
3×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `times-frac` `associate-*l/` `flip--` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `associate-r` `*-commutative`

Counts

2 → 37

Calls

2 calls:

6.0ms	(- x (/ 16.0 116.0))
10.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

series10.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(- x (/ 16.0 116.0))
6.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify32.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5099	401

prune59.0ms

Filtered

26 candidates to 43 candidates (-65.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	43	8	51

Merged error: 0.0b

Counts

51 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.2b	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
0.2b	(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
0.7b	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`pow1` `add-exp-log` `add-cbrt-cube`
15×	`associate-r`
14×	`*-un-lft-identity`
12×	`associate-*l/`
10×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-l`
7×	`sqrt-prod`
6×	`add-log-exp`
4×	`flip3--` `flip--` `difference-of-squares`
3×	`*-commutative`
2×	`times-frac` `distribute-lft-out--` `unswap-sqr`
1×	`sub-neg` `diff-log`

Counts

4 → 87

Calls

4 calls:

6.0ms	(- x (/ 16.0 116.0))
10.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
13.0ms	(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
12.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

series32.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- x (/ 16.0 116.0))
6.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
15.0ms	(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
9.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4971	905
1	4971	905

prune127.0ms

Filtered

59 candidates to 99 candidates (-67.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	99	8	107

Merged error: 0b

Counts

107 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.2b	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
0.3b	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (sqrt 3.0) y))
0.4b	(* (sqrt 3.0) y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
20×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`*-un-lft-identity`
13×	`associate-l`
10×	`add-cube-cbrt` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
6×	`associate-*l/` `add-log-exp`
4×	`difference-of-squares` `unswap-sqr`
3×	`flip3--` `*-commutative` `flip--`
2×	`times-frac` `distribute-lft-out--`
1×	`sub-neg` `diff-log`

Counts

4 → 87

Calls

4 calls:

6.0ms	(- x (/ 16.0 116.0))
10.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
12.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (sqrt 3.0) y))
4.0ms	(* (sqrt 3.0) y)

series27.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- x (/ 16.0 116.0))
6.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
13.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (sqrt 3.0) y))
6.0ms	(* (sqrt 3.0) y)

simplify44.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5147	829

prune115.0ms

Filtered

61 candidates to 99 candidates (-62.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	99	8	107

Merged error: 0b

Counts

107 → 8

regimes254.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	9
1	28	9

end0.0ms

sample327.0ms

Algorithm

intervals

Results

213.0ms	8000×	body	80	valid
2.0ms	78×	body	80	invalid

Details

analyze48.0ms

sample18.0ms

simplify44.0ms

prune8.0ms

localize6.0ms

rewrite25.0ms

series11.0ms

simplify44.0ms

prune92.0ms

localize6.0ms

rewrite16.0ms

series10.0ms

simplify32.0ms

prune59.0ms

localize8.0ms

rewrite44.0ms

series32.0ms

simplify44.0ms

prune127.0ms

localize8.0ms

rewrite35.0ms

series27.0ms

simplify44.0ms

prune115.0ms

regimes254.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample327.0ms

Profiling