Details

sample75.0ms

Algorithm

intervals

Results

30.0ms	101×	body	1280	valid
15.0ms	86×	body	640	valid
10.0ms	249×	body	80	valid
5.0ms	39×	body	320	valid
2.0ms	19×	body	160	valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	102	4
4	153	4
5	334	4
6	924	4
7	1912	4
8	5001	4

prune2.0ms

Filtered

1 candidates to 0 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: 0.4b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
0.3b	(* (cosh x) (/ (sin y) y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`cosh-def` `clear-num`
3×	`frac-times` `frac-2neg` `associate-*r/`
2×	`div-inv`
1×	`associate-r` `associate-l/` `un-div-inv` `-commutative`

Counts

2 → 13

Calls

2 calls:

3.0ms	(/ (sin y) y)
4.0ms	(* (cosh x) (/ (sin y) y))

series100.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (sin y) y)
70.0ms	(* (cosh x) (/ (sin y) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	117	85
1	371	77
2	1816	65
3	5001	61

prune41.0ms

Filtered

19 candidates to 14 candidates (73.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	16	3	19
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	3	20

Merged error: 0.3b

Counts

20 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ y (sin y))
0.4b	(/ (* 2 (cosh x)) (* 2 (/ y (sin y))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-commutative`
6×	`times-frac`
5×	`div-inv`
4×	`associate-*r/` `clear-num` `associate-/r/`
3×	`frac-2neg` `associate-r` `associate-/r*`
2×	`associate-/l*`
1×	`cosh-def` `un-div-inv` `associate-/l/`

Counts

2 → 22

Calls

2 calls:

2.0ms	(/ y (sin y))
6.0ms	(/ (* 2 (cosh x)) (* 2 (/ y (sin y))))

series96.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ y (sin y))
74.0ms	(/ (* 2 (cosh x)) (* 2 (/ y (sin y))))

simplify29.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	170	123
1	794	103
2	5001	94

prune62.0ms

Filtered

28 candidates to 22 candidates (78.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	4	28
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	26	5	31

Merged error: 0.3b

Counts

31 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
0.3b	(* (cosh x) (/ (sin y) y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`cosh-def` `clear-num`
3×	`frac-times` `frac-2neg` `associate-*r/`
2×	`div-inv`
1×	`associate-r` `associate-l/` `un-div-inv` `-commutative`

Counts

2 → 13

Calls

2 calls:

2.0ms	(/ (sin y) y)
4.0ms	(* (cosh x) (/ (sin y) y))

series103.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (sin y) y)
73.0ms	(* (cosh x) (/ (sin y) y))

simplify49.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	117	85
1	371	77
2	1816	65
3	5001	61

prune39.0ms

Filtered

19 candidates to 13 candidates (68.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	19	5	24

Merged error: 0.3b

Counts

24 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (sin y))
0.5b	(* (/ 1 y) (* (cosh x) (sin y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-*l/`
5×	`cosh-def`
3×	`frac-times` `*-commutative`
2×	`frac-2neg` `associate-r` `clear-num`
1×	`associate-r/` `associate-l*` `div-inv`

Counts

2 → 13

Calls

2 calls:

3.0ms	(* (cosh x) (sin y))
5.0ms	(* (/ 1 y) (* (cosh x) (sin y)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (cosh x) (sin y))
81.0ms	(* (/ 1 y) (* (cosh x) (sin y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	156	105
1	576	95
2	2664	69
3	5001	69

prune63.0ms

Filtered

19 candidates to 14 candidates (73.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	19	5	24

Merged error: 0.3b

Counts

24 → 5

regimes110.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.2s

Algorithm

intervals

Results

908.0ms	3005×	body	1280	valid
439.0ms	2444×	body	640	valid
344.0ms	8256×	body	80	valid
152.0ms	1230×	body	320	valid
52.0ms	603×	body	160	valid