Details

sample73.0ms

Algorithm

intervals

Results

25.0ms	86×	body	1280	valid
16.0ms	83×	body	640	valid
11.0ms	249×	body	80	valid
5.0ms	38×	body	320	valid
2.0ms	16×	body	160	valid

simplify42.0ms

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	139	4
4	271	4
5	520	4
6	1491	4
7	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×	`expm1-log1p-u` `sinh-def` `associate-l` `clear-num` `log1p-expm1-u` `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 → 85

Calls

3 calls:

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

series332.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(/ (sinh y) y)
146.0ms	(* (cos x) (/ (sinh y) y))
66.0ms	(sinh y)

simplify44.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	357	483
1	1425	436
2	5002	424

prune144.0ms

Filtered

94 candidates to 73 candidates (22.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	92	3	95

Merged error: 0b

Counts

95 → 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)

rewrite18.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

3 → 124

Calls

3 calls:

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

series272.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(/ (cos x) (/ y (sinh y)))
93.0ms	(/ y (sinh y))
59.0ms	(sinh y)

simplify87.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	498	985
1	2120	932
2	5002	916

prune231.0ms

Filtered

133 candidates to 110 candidates (17.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	134	2	136

Merged error: 0b

Counts

136 → 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))))

rewrite39.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 238

Calls

4 calls:

3.0ms	(/ y (sinh y))
1.0ms	(sinh y)
1.0ms	(sinh y)
19.0ms	(* (sqrt (/ y (sinh y))) (sqrt (/ y (sinh y))))

series345.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(/ y (sinh y))
61.0ms	(sinh y)
89.0ms	(sinh y)
94.0ms	(* (sqrt (/ y (sinh y))) (sqrt (/ y (sinh y))))

simplify93.0ms

Algorithm

egg-herbie

Counts

250 → 250

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	515	1941
1	2307	1794
2	5002	1776

prune388.0ms

Filtered

250 candidates to 143 candidates (42.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	250	0	250
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	250	2	252

Merged error: 0b

Counts

252 → 2

regimes69.0ms

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	7	4
1	7	4

end0.0ms

sample2.0s

Algorithm

intervals

Results

790.0ms	2949×	body	1280	valid
410.0ms	2585×	body	640	valid
307.0ms	8603×	body	80	valid
142.0ms	1245×	body	320	valid
50.0ms	663×	body	160	valid