Details

analyze337.0ms

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

sample111.0ms

Algorithm

intervals

Results

29.0ms	60×	body	1280	invalid
23.0ms	50×	body	1280	valid
15.0ms	56×	body	640	invalid
9.0ms	147×	body	80	valid
7.0ms	27×	body	640	valid
5.0ms	28×	body	320	invalid
4.0ms	20×	body	320	valid
2.0ms	12×	body	160	valid
1.0ms	7×	body	160	invalid
1.0ms	12×	body	80	invalid

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

rewrite12.0ms

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

series41.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(* (cos x) (/ (sinh y) y))
11.0ms	(/ (sinh y) y)
8.0ms	(sinh y)

simplify64.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4929	621
1	4929	621

prune79.0ms

Filtered

63 candidates to 77 candidates (-22.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 151

Calls

4 calls:

1.0ms	(sinh y)
4.0ms	(/ (sinh y) y)
3.0ms	(/ (sinh y) y)
15.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sinh y)
11.0ms	(/ (sinh y) y)
11.0ms	(/ (sinh y) y)
21.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5020	1519

prune140.0ms

Filtered

113 candidates to 163 candidates (-44.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	163	3	166

Merged error: 0b

Counts

166 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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:

1.0ms	(sinh y)
7.0ms	(* (cos x) (* (sinh y) (/ 1 y)))
7.0ms	(* (sinh y) (/ 1 y))

series38.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify41.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5027	539

prune65.0ms

Filtered

54 candidates to 81 candidates (-50.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	81	3	84

Merged error: 0b

Counts

84 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos x) (/ (* (sqrt (sinh y)) (sqrt (sinh y))) y))
0.0b	(sinh y)
0.0b	(sinh y)
0.3b	(* (sqrt (sinh y)) (sqrt (sinh y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
21×	`pow1`
18×	`sqrt-prod`
15×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
13×	`associate-r`
9×	`associate-l`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`sinh-def` `unswap-sqr`
5×	`prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`times-frac` `sqrt-div` `pow-prod-down` `add-log-exp`
3×	`pow-sqr`
2×	`cbrt-undiv` `associate-r/` `div-exp` `-commutative`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-*l/` `rem-square-sqrt` `div-inv`

Counts

4 → 96

Calls

4 calls:

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

series44.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (cos x) (/ (* (sqrt (sinh y)) (sqrt (sinh y))) y))
8.0ms	(sinh y)
10.0ms	(sinh y)
8.0ms	(* (sqrt (sinh y)) (sqrt (sinh y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4992	665
1	4992	665

prune259.0ms

Filtered

68 candidates to 108 candidates (-58.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	108	3	111

Merged error: 0b

Counts

111 → 3

regimes147.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	14
1	9	14

end0.0ms

sample2.1s

Algorithm

intervals

Results

501.0ms	1545×	body	1280	valid
420.0ms	1484×	body	1280	invalid
236.0ms	1280×	body	640	invalid
215.0ms	1154×	body	640	valid
183.0ms	4350×	body	80	valid
84.0ms	640×	body	320	invalid
79.0ms	631×	body	320	valid
29.0ms	509×	body	80	invalid
28.0ms	320×	body	160	valid
25.0ms	278×	body	160	invalid

Details

analyze337.0ms

sample111.0ms

simplify36.0ms

prune3.0ms

localize7.0ms

rewrite12.0ms

series41.0ms

simplify64.0ms

prune79.0ms

localize9.0ms

rewrite29.0ms

series50.0ms

simplify51.0ms

prune140.0ms

localize8.0ms

rewrite17.0ms

series38.0ms

simplify41.0ms

prune65.0ms

localize9.0ms

rewrite20.0ms

series44.0ms

simplify49.0ms

prune259.0ms

regimes147.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.1s

Profiling