Details

analyze321.0ms

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

sample75.0ms

Algorithm

intervals

Results

14.0ms	39×	body	1280	valid
13.0ms	42×	body	1280	invalid
10.0ms	132×	body	80	valid
10.0ms	50×	body	640	valid
5.0ms	28×	body	640	invalid
4.0ms	31×	body	320	valid
3.0ms	53×	body	80	invalid
2.0ms	18×	body	320	invalid
1.0ms	8×	body	160	invalid
0.0ms	4×	body	160	valid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

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

rewrite14.0ms

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

series49.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sinh y)
16.0ms	(/ (sinh y) y)
24.0ms	(* (sin x) (/ (sinh y) y))

simplify49.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4972	621
1	4972	621

prune78.0ms

Filtered

61 candidates to 77 candidates (-26.2%)

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sinh y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
1×	`sinh-def` `cbrt-div`

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt (sinh y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series100.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt (sinh y))
23.0ms	(cbrt y)
23.0ms	(cbrt y)
25.0ms	(cbrt y)

simplify75.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4914	243
1	4914	243

prune56.0ms

Filtered

42 candidates to 57 candidates (-35.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	57	4	61

Merged error: 0b

Counts

61 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(exp (/ (sinh y) y))
0.4b	(pow (exp (/ (sinh y) y)) (sin x))
2.1b	(log (pow (exp (/ (sinh y) y)) (sin x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
26×	`exp-prod`
14×	`pow-pow`
7×	`add-exp-log` `log-prod`
6×	`unpow-prod-down` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
3×	`pow-unpow` `rem-log-exp` `associate-/r` `div-inv` `associate-/l`
2×	`pow-to-exp` `pow-exp` `sqr-pow`
1×	`cbrt-undiv` `sinh-def` `frac-2neg` `div-exp` `clear-num` `log-pow` `rem-exp-log` `associate-/l/`

Counts

4 → 97

Calls

4 calls:

4.0ms	(/ (sinh y) y)
4.0ms	(exp (/ (sinh y) y))
6.0ms	(pow (exp (/ (sinh y) y)) (sin x))
4.0ms	(log (pow (exp (/ (sinh y) y)) (sin x)))

series115.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ (sinh y) y)
12.0ms	(exp (/ (sinh y) y))
42.0ms	(pow (exp (/ (sinh y) y)) (sin x))
49.0ms	(log (pow (exp (/ (sinh y) y)) (sin x)))

simplify68.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4961	1090
1	4961	1090

prune132.0ms

Filtered

86 candidates to 109 candidates (-26.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	109	4	113

Merged error: 0b

Counts

113 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.1b	(/ (sin x) (sqrt y))
0.2b	(* (/ (sin x) (sqrt y)) (/ (sinh y) (sqrt y)))
0.2b	(/ (sinh y) (sqrt y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
84×	`times-frac`
60×	`add-cube-cbrt` `*-un-lft-identity`
48×	`sqrt-prod`
22×	`associate-r` `associate-l`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
9×	`unswap-sqr`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*`
4×	`prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
2×	`sinh-def` `frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 160

Calls

4 calls:

1.0ms	(sinh y)
5.0ms	(/ (sin x) (sqrt y))
19.0ms	(* (/ (sin x) (sqrt y)) (/ (sinh y) (sqrt y)))
5.0ms	(/ (sinh y) (sqrt y))

series66.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sinh y)
14.0ms	(/ (sin x) (sqrt y))
27.0ms	(* (/ (sin x) (sqrt y)) (/ (sinh y) (sqrt y)))
17.0ms	(/ (sinh y) (sqrt y))

simplify41.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5189	1980

prune120.0ms

Filtered

119 candidates to 172 candidates (-44.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	172	4	176

Merged error: 0b

Counts

176 → 4

regimes208.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b 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

498.0ms	1482×	body	1280	valid
430.0ms	1424×	body	1280	invalid
245.0ms	1227×	body	640	valid
242.0ms	1207×	body	640	invalid
212.0ms	4355×	body	80	valid
117.0ms	2339×	body	80	invalid
94.0ms	637×	body	320	valid
84.0ms	614×	body	320	invalid
28.0ms	299×	body	160	valid
28.0ms	284×	body	160	invalid

Details

analyze321.0ms

sample75.0ms

simplify40.0ms

prune3.0ms

localize7.0ms

rewrite14.0ms

series49.0ms

simplify49.0ms

prune78.0ms

localize15.0ms

rewrite6.0ms

series100.0ms

simplify75.0ms

prune56.0ms

localize15.0ms

rewrite21.0ms

series115.0ms

simplify68.0ms

prune132.0ms

localize11.0ms

rewrite36.0ms

series66.0ms

simplify41.0ms

prune120.0ms

regimes208.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling