Details

analyze330.0ms

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
12.5%	87.4%	0.1%	4
18.7%	81.2%	0.1%	5
21.9%	78%	0.1%	6
50%	43.7%	6.3%	7
50%	43.7%	6.3%	8
56.2%	34.3%	9.5%	9
56.2%	34.3%	9.5%	10
59.3%	29.7%	11%	11
59.3%	29.7%	11%	12
60.9%	27.3%	11.8%	13
60.9%	27.3%	11.8%	14

sample74.0ms

Algorithm

intervals

Results

17.0ms	45×	body	1280	invalid
13.0ms	42×	body	1280	valid
8.0ms	42×	body	640	valid
7.0ms	142×	body	80	valid
6.0ms	31×	body	640	invalid
3.0ms	66×	body	80	invalid
3.0ms	20×	body	320	valid
2.0ms	15×	body	320	invalid
1.0ms	10×	body	160	invalid
1.0ms	10×	body	160	valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4909	7
1	4909	7

prune3.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `sinh-def` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

2 → 40

Calls

2 calls:

1.0ms	(sinh y)
7.0ms	(* (sin x) (/ (sinh y) y))

series28.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(sinh y)
21.0ms	(* (sin x) (/ (sinh y) y))

simplify41.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5468	383

prune47.0ms

Filtered

36 candidates to 46 candidates (-27.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Merged error: 0b

Counts

47 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
16.0b	(/ (* (sin x) (sinh y)) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
7.0ms	(/ (* (sin x) (sinh y)) y)

series44.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sinh y)
16.0ms	(* (sin x) (sinh y))
20.0ms	(/ (* (sin x) (sinh y)) y)

simplify37.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	6016	419

prune51.0ms

Filtered

43 candidates to 58 candidates (-34.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	58	3	61

Merged error: 0b

Counts

61 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (sin x)) (/ (sinh y) y))
0.0b	(sinh y)
0.1b	(exp (sin x))
3.3b	(log (pow (exp (sin x)) (/ (sinh y) y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow-unpow`
9×	`times-frac`
7×	`log-prod`
6×	`unpow-prod-down` `exp-prod`
5×	`pow1` `add-exp-log` `add-log-exp`
4×	`pow-pow` `add-cbrt-cube`
3×	`rem-log-exp`
2×	`pow-to-exp` `pow-exp` `sqr-pow`
1×	`sinh-def` `log-pow` `div-inv` `rem-exp-log`

Counts

4 → 67

Calls

4 calls:

5.0ms	(pow (exp (sin x)) (/ (sinh y) y))
1.0ms	(sinh y)
2.0ms	(exp (sin x))
3.0ms	(log (pow (exp (sin x)) (/ (sinh y) y)))

series85.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(pow (exp (sin x)) (/ (sinh y) y))
8.0ms	(sinh y)
6.0ms	(exp (sin x))
37.0ms	(log (pow (exp (sin x)) (/ (sinh y) y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4997	754
1	4997	754

prune83.0ms

Filtered

58 candidates to 79 candidates (-36.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	79	3	82

Merged error: 0b

Counts

82 → 3

regimes190.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

498.0ms	1496×	body	1280	valid
417.0ms	1397×	body	1280	invalid
261.0ms	1294×	body	640	invalid
252.0ms	1268×	body	640	valid
208.0ms	4302×	body	80	valid
122.0ms	2328×	body	80	invalid
87.0ms	582×	body	320	invalid
86.0ms	606×	body	320	valid
35.0ms	328×	body	160	valid
31.0ms	317×	body	160	invalid

Details

analyze330.0ms

sample74.0ms

simplify36.0ms

prune3.0ms

localize6.0ms

rewrite9.0ms

series28.0ms

simplify41.0ms

prune47.0ms

localize6.0ms

rewrite13.0ms

series44.0ms

simplify37.0ms

prune51.0ms

localize11.0ms

rewrite13.0ms

series85.0ms

simplify58.0ms

prune83.0ms

regimes190.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling