Details

analyze364.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
37.5%	50%	12.6%	7
37.5%	50%	12.6%	8
43.7%	37.5%	18.8%	9
43.7%	37.5%	18.8%	10
46.8%	31.2%	22%	11
46.8%	31.2%	22%	12
48.4%	28.1%	23.5%	13
48.4%	28.1%	23.5%	14

sample77.0ms

Algorithm

intervals

Results

20.0ms	60×	body	1280	valid
15.0ms	52×	body	1280	invalid
8.0ms	43×	body	640	invalid
7.0ms	36×	body	640	valid
6.0ms	138×	body	80	valid
5.0ms	17×	body	320	invalid
2.0ms	15×	body	320	valid
1.0ms	20×	body	80	invalid
1.0ms	7×	body	160	invalid
1.0ms	7×	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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

3.0ms	(/ (sinh y) y)
6.0ms	(* (cos x) (/ (sinh y) y))
1.0ms	(sinh y)

series37.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/ (sinh y) y)
19.0ms	(* (cos x) (/ (sinh y) y))
8.0ms	(sinh y)

simplify52.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4929	621
1	4929	621

prune79.0ms

Filtered

61 candidates to 77 candidates (-26.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	2	78

Merged error: 0b

Counts

78 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (/ y (sinh y)))
0.0b	(* (cos x) (/ 1 (/ y (sinh y))))
0.0b	(sinh y)
0.0b	(/ y (sinh y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
47×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
17×	`associate-/r*`
15×	`div-exp`
10×	`associate-/r/` `div-inv`
9×	`sinh-def`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 192

Calls

4 calls:

6.0ms	(/ 1 (/ y (sinh y)))
15.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
1.0ms	(sinh y)
3.0ms	(/ y (sinh y))

series54.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ 1 (/ y (sinh y)))
18.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
7.0ms	(sinh y)
18.0ms	(/ y (sinh y))

simplify69.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5161	1902

prune179.0ms

Filtered

141 candidates to 204 candidates (-44.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	204	2	206

Merged error: 0b

Counts

206 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (sinh y) y))
0.0b	(sinh y)
0.1b	(pow (exp (/ (sinh y) y)) (cos x))
0.3b	(log (pow (exp (/ (sinh y) y)) (cos x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

3.0ms	(exp (/ (sinh y) y))
1.0ms	(sinh y)
5.0ms	(pow (exp (/ (sinh y) y)) (cos x))
4.0ms	(log (pow (exp (/ (sinh y) y)) (cos x)))

series109.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(exp (/ (sinh y) y))
7.0ms	(sinh y)
47.0ms	(pow (exp (/ (sinh y) y)) (cos x))
42.0ms	(log (pow (exp (/ (sinh y) y)) (cos x)))

simplify54.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4962	939
1	4962	939

prune108.0ms

Filtered

70 candidates to 89 candidates (-27.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	89	2	91

Merged error: 0b

Counts

91 → 2

regimes132.0ms

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	10	9
1	10	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

484.0ms	1504×	body	1280	valid
449.0ms	1527×	body	1280	invalid
245.0ms	1236×	body	640	valid
229.0ms	1201×	body	640	invalid
203.0ms	4334×	body	80	valid
84.0ms	636×	body	320	invalid
82.0ms	623×	body	320	valid
28.0ms	303×	body	160	valid
27.0ms	286×	body	160	invalid
26.0ms	479×	body	80	invalid

Details

analyze364.0ms

sample77.0ms

simplify36.0ms

prune3.0ms

localize7.0ms

rewrite13.0ms

series37.0ms

simplify52.0ms

prune79.0ms

localize8.0ms

rewrite33.0ms

series54.0ms

simplify69.0ms

prune179.0ms

localize14.0ms

rewrite16.0ms

series109.0ms

simplify54.0ms

prune108.0ms

regimes132.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

Profiling