Details

analyze335.0ms

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	59×	body	1280	valid
17.0ms	59×	body	1280	invalid
9.0ms	48×	body	640	invalid
7.0ms	36×	body	640	valid
6.0ms	134×	body	80	valid
2.0ms	17×	body	320	invalid
2.0ms	16×	body	320	valid
1.0ms	11×	body	160	valid
1.0ms	9×	body	160	invalid
1.0ms	10×	body	80	invalid

simplify35.0ms

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 3 expressions with local error:

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

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

series42.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(sinh y)
20.0ms	(* (cos x) (/ (sinh y) y))
15.0ms	(/ (sinh y) y)

simplify51.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4929	621
1	4929	621

prune72.0ms

Filtered

63 candidates to 77 candidates (-22.2%)

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

rewrite35.0ms

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)))
1.0ms	(sinh y)
17.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
3.0ms	(/ y (sinh y))

series55.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ 1 (/ y (sinh y)))
7.0ms	(sinh y)
18.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
15.0ms	(/ y (sinh y))

simplify64.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5161	1902

prune185.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-sqr-sqrt`
66×	`sqrt-prod`
60×	`times-frac`
53×	`add-cube-cbrt` `*-un-lft-identity`
24×	`pow1`
19×	`associate-l`
18×	`swap-sqr`
17×	`associate-r`
15×	`add-exp-log` `add-cbrt-cube`
10×	`unswap-sqr`
8×	`sqrt-pow1` `pow1/2` `sqrt-div`
6×	`pow-prod-down` `associate-/r` `div-inv` `associate-/l`
5×	`associate-*r/` `pow-prod-up`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-sqr`
2×	`cbrt-undiv` `frac-times` `sinh-def` `frac-2neg` `div-exp` `associate-l/` `clear-num` `-commutative` `associate-/l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 165

Calls

4 calls:

13.0ms	(* (cos x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))
3.0ms	(/ (sinh y) y)
3.0ms	(/ (sinh y) y)
13.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

series85.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (cos x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))
11.0ms	(/ (sinh y) y)
11.0ms	(/ (sinh y) y)
26.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4965	1863
1	4965	1863

prune143.0ms

Filtered

125 candidates to 177 candidates (-41.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	177	2	179

Merged error: 0b

Counts

179 → 2

regimes123.0ms

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

504.0ms	1554×	body	1280	valid
420.0ms	1433×	body	1280	invalid
233.0ms	1205×	body	640	valid
232.0ms	1221×	body	640	invalid
189.0ms	4305×	body	80	valid
87.0ms	633×	body	320	invalid
83.0ms	607×	body	320	valid
33.0ms	507×	body	80	invalid
30.0ms	329×	body	160	valid
29.0ms	305×	body	160	invalid

Details

analyze335.0ms

sample77.0ms

simplify35.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series42.0ms

simplify51.0ms

prune72.0ms

localize8.0ms

rewrite35.0ms

series55.0ms

simplify64.0ms

prune185.0ms

localize10.0ms

rewrite39.0ms

series85.0ms

simplify56.0ms

prune143.0ms

regimes123.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

Profiling