Details

sample63.0ms

Algorithm

intervals

Results

22.0ms	86×	body	1280	valid
14.0ms	83×	body	640	valid
10.0ms	249×	body	80	valid
4.0ms	38×	body	320	valid
1.0ms	16×	body	160	valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	137	4
4	262	4
5	492	4
6	1390	4
7	4856	4
8	5001	4

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(* (cos x) (/ (sinh y) y))
0.0b	(sinh y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
19×	`times-frac`
13×	`associate-r`
10×	`add-exp-log` `associate-*r/` `add-cbrt-cube`
7×	`associate-/l*`
6×	`associate-/r*`
5×	`pow1`
3×	`sinh-def` `associate-l` `clear-num` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `prod-exp` `un-div-inv` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

3 → 79

Calls

3 calls:

7.0ms	(/ (sinh y) y)
8.0ms	(* (cos x) (/ (sinh y) y))
1.0ms	(sinh y)

series249.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(/ (sinh y) y)
95.0ms	(* (cos x) (/ (sinh y) y))
62.0ms	(sinh y)

simplify43.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	342	467
1	1384	421
2	5002	409

prune137.0ms

Filtered

88 candidates to 67 candidates (23.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	3	89

Merged error: 0b

Counts

89 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (cos x) (/ y (sinh y)))
0.0b	(/ y (sinh y))
0.0b	(sinh y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
20×	`associate-/r*`
14×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`sinh-def` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

3 → 118

Calls

3 calls:

7.0ms	(/ (cos x) (/ y (sinh y)))
3.0ms	(/ y (sinh y))
1.0ms	(sinh y)

series253.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(/ (cos x) (/ y (sinh y)))
95.0ms	(/ y (sinh y))
64.0ms	(sinh y)

simplify64.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	484	967
1	2080	916
2	5001	900

prune226.0ms

Filtered

127 candidates to 104 candidates (18.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	128	2	130

Merged error: 0b

Counts

130 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (sinh y))
0.0b	(sinh y)
0.0b	(sinh y)
0.0b	(* (sqrt (/ y (sinh y))) (sqrt (/ y (sinh y))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

180×	`sqrt-div`
112×	`add-sqr-sqrt`
84×	`add-cube-cbrt` `*-un-lft-identity`
81×	`frac-times`
70×	`sqrt-prod`
63×	`associate-/r` `associate-/l`
51×	`times-frac`
21×	`frac-2neg` `clear-num`
19×	`pow1` `swap-sqr`
17×	`associate-r` `associate-l`
9×	`associate-r/` `associate-l/` `unswap-sqr`
8×	`add-exp-log` `sqrt-pow1` `pow1/2` `add-cbrt-cube`
7×	`sinh-def`
5×	`associate-/r/` `pow-prod-up` `div-inv`
4×	`add-log-exp`
3×	`pow-prod-down` `pow-sqr`
1×	`cbrt-undiv` `pow2` `pow-plus` `sqrt-unprod` `div-exp` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 230

Calls

4 calls:

3.0ms	(/ y (sinh y))
1.0ms	(sinh y)
1.0ms	(sinh y)
23.0ms	(* (sqrt (/ y (sinh y))) (sqrt (/ y (sinh y))))

series321.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(/ y (sinh y))
66.0ms	(sinh y)
67.0ms	(sinh y)
89.0ms	(* (sqrt (/ y (sinh y))) (sqrt (/ y (sinh y))))

simplify94.0ms

Algorithm

egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	502	1925
1	2262	1780
2	5001	1765

prune389.0ms

Filtered

242 candidates to 135 candidates (44.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	242	0	242
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	242	2	244

Merged error: 0b

Counts

244 → 2

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

803.0ms	2949×	body	1280	valid
441.0ms	2585×	body	640	valid
322.0ms	8603×	body	80	valid
143.0ms	1245×	body	320	valid
59.0ms	663×	body	160	valid