Details

analyze333.0ms

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

sample82.0ms

Algorithm

intervals

Results

21.0ms	63×	body	1280	valid
12.0ms	41×	body	1280	invalid
8.0ms	86×	body	80	invalid
7.0ms	36×	body	640	valid
7.0ms	35×	body	640	invalid
7.0ms	138×	body	80	valid
3.0ms	22×	body	320	invalid
2.0ms	12×	body	320	valid
1.0ms	12×	body	160	invalid
1.0ms	7×	body	160	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

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

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

series44.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* (sin x) (/ (sinh y) y))
11.0ms	(/ (sinh y) y)
8.0ms	(sinh y)

simplify44.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4972	621
1	4972	621

prune100.0ms

Filtered

63 candidates to 77 candidates (-22.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	4	78

Merged error: 0b

Counts

78 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sin x) (* (sinh y) (/ 1 y)))
0.0b	(sinh y)
0.2b	(* (sinh y) (/ 1 y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
19×	`add-sqr-sqrt`
17×	`add-cbrt-cube`
14×	`associate-r`
13×	`*-un-lft-identity` `prod-exp`
12×	`add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
7×	`cbrt-unprod`
6×	`associate-r/` `associate-l*`
5×	`sinh-def`
4×	`div-exp` `pow-prod-down`
3×	`add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-l/` `un-div-inv` `-commutative`
1×	`div-inv`

Counts

3 → 72

Calls

3 calls:

8.0ms	(* (sin x) (* (sinh y) (/ 1 y)))
1.0ms	(sinh y)
7.0ms	(* (sinh y) (/ 1 y))

series41.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* (sin x) (* (sinh y) (/ 1 y)))
8.0ms	(sinh y)
13.0ms	(* (sinh y) (/ 1 y))

simplify45.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5026	539

prune69.0ms

Filtered

54 candidates to 81 candidates (-50.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	81	4	85

Merged error: 0b

Counts

85 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) y)
0.4b	(pow (* (/ (sinh y) y) (sin x)) 3)
20.6b	(cbrt (pow (* (/ (sinh y) y) (sin x)) 3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
9×	`times-frac`
8×	`cbrt-prod`
7×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `pow-exp` `associate-/r` `associate-/l` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-div` `cube-mult` `sinh-def` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `frac-2neg` `pow1/3` `pow-prod-down` `clear-num` `rem-cbrt-cube` `div-inv` `associate-/l/`

Counts

4 → 79

Calls

4 calls:

1.0ms	(sinh y)
4.0ms	(/ (sinh y) y)
6.0ms	(pow (* (/ (sinh y) y) (sin x)) 3)
2.0ms	(cbrt (pow (* (/ (sinh y) y) (sin x)) 3))

series72.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sinh y)
11.0ms	(/ (sinh y) y)
32.0ms	(pow (* (/ (sinh y) y) (sin x)) 3)
22.0ms	(cbrt (pow (* (/ (sinh y) y) (sin x)) 3))

simplify41.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4951	786
1	4951	786

prune106.0ms

Filtered

71 candidates to 91 candidates (-28.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	91	4	95

Merged error: 0b

Counts

95 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.1b	(/ 1 (sqrt y))
0.1b	(* (/ 1 (sqrt y)) (/ (sinh y) (sqrt y)))
0.3b	(/ (sinh y) (sqrt y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-sqr-sqrt`
94×	`times-frac`
66×	`*-un-lft-identity`
60×	`add-cube-cbrt`
53×	`sqrt-prod`
32×	`add-exp-log`
22×	`associate-r` `associate-l`
20×	`add-cbrt-cube`
15×	`unswap-sqr`
12×	`associate-/r*`
11×	`div-exp`
8×	`pow1` `prod-exp`
6×	`cbrt-undiv` `associate-/l*`
4×	`cbrt-unprod` `div-inv` `add-log-exp`
3×	`rec-exp` `pow-flip` `1-exp`
2×	`sinh-def` `frac-2neg` `clear-num`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 176

Calls

4 calls:

1.0ms	(sinh y)
4.0ms	(/ 1 (sqrt y))
18.0ms	(* (/ 1 (sqrt y)) (/ (sinh y) (sqrt y)))
4.0ms	(/ (sinh y) (sqrt y))

series41.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sinh y)
6.0ms	(/ 1 (sqrt y))
11.0ms	(* (/ 1 (sqrt y)) (/ (sinh y) (sqrt y)))
16.0ms	(/ (sinh y) (sqrt y))

simplify61.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4967	1788
1	4967	1788

prune133.0ms

Filtered

113 candidates to 188 candidates (-66.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	188	4	192

Merged error: 0b

Counts

192 → 4

regimes211.0ms

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	7
1	7	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

536.0ms	1568×	body	1280	valid
434.0ms	1469×	body	1280	invalid
233.0ms	1192×	body	640	invalid
229.0ms	1175×	body	640	valid
211.0ms	4294×	body	80	valid
121.0ms	2324×	body	80	invalid
86.0ms	620×	body	320	invalid
83.0ms	602×	body	320	valid
37.0ms	361×	body	160	valid
30.0ms	270×	body	160	invalid

Details

analyze333.0ms

sample82.0ms

simplify37.0ms

prune3.0ms

localize7.0ms

rewrite13.0ms

series44.0ms

simplify44.0ms

prune100.0ms

localize8.0ms

rewrite18.0ms

series41.0ms

simplify45.0ms

prune69.0ms

localize10.0ms

rewrite15.0ms

series72.0ms

simplify41.0ms

prune106.0ms

localize10.0ms

rewrite35.0ms

series41.0ms

simplify61.0ms

prune133.0ms

regimes211.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling