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
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

sample68.0ms

Algorithm

intervals

Results

14.0ms	41×	body	1280	valid
8.0ms	41×	body	640	valid
6.0ms	147×	body	80	valid
2.0ms	16×	body	320	valid
1.0ms	11×	body	160	valid

simplify36.0ms

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

rewrite17.0ms

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:

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

series39.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/ (sinh y) y)
7.0ms	(sinh y)
21.0ms	(* (sin x) (/ (sinh y) y))

simplify41.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4972	621
1	4972	621

prune68.0ms

Filtered

61 candidates to 77 candidates (-26.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
16.6b	(* (* (sin x) (sinh y)) (/ 1 y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
8.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

series42.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(sinh y)
16.0ms	(* (sin x) (sinh y))
19.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

simplify32.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5270	602

prune59.0ms

Filtered

48 candidates to 76 candidates (-58.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Merged error: 0b

Counts

79 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`add-sqr-sqrt` `pow-prod-down`
17×	`associate-r`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1/2`
11×	`add-exp-log` `add-cbrt-cube`
10×	`times-frac` `pow-prod-up`
8×	`associate-*r/`
7×	`associate-l`
6×	`sqrt-div` `sqrt-prod` `pow-sqr`
4×	`swap-sqr` `add-log-exp`
3×	`prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`*-commutative`
1×	`cbrt-undiv` `pow2` `frac-times` `pow-plus` `sqrt-unprod` `div-exp` `associate-*l/` `rem-square-sqrt` `div-inv`

Counts

4 → 108

Calls

4 calls:

7.0ms	(* (sin x) (/ (sinh y) y))
4.0ms	(sqrt (* (sin x) (/ (sinh y) y)))
4.0ms	(sqrt (* (sin x) (/ (sinh y) y)))
12.0ms	(* (sqrt (* (sin x) (/ (sinh y) y))) (sqrt (* (sin x) (/ (sinh y) y))))

series201.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (sin x) (/ (sinh y) y))
69.0ms	(sqrt (* (sin x) (/ (sinh y) y)))
70.0ms	(sqrt (* (sin x) (/ (sinh y) y)))
44.0ms	(* (sqrt (* (sin x) (/ (sinh y) y))) (sqrt (* (sin x) (/ (sinh y) y))))

simplify43.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5508	1884

prune134.0ms

Filtered

77 candidates to 120 candidates (-55.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	120	3	123

Merged error: 0b

Counts

123 → 3

regimes183.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

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

523.0ms	1492×	body	1280	valid
268.0ms	1275×	body	640	valid
215.0ms	4293×	body	80	valid
91.0ms	618×	body	320	valid
33.0ms	322×	body	160	valid

Details

analyze337.0ms

sample68.0ms

simplify36.0ms

prune3.0ms

localize7.0ms

rewrite17.0ms

series39.0ms

simplify41.0ms

prune68.0ms

localize8.0ms

rewrite17.0ms

series42.0ms

simplify32.0ms

prune59.0ms

localize10.0ms

rewrite31.0ms

series201.0ms

simplify43.0ms

prune134.0ms

regimes183.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling