Details

analyze353.0ms

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
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
43.7%	46.8%	9.5%	7
43.7%	42.1%	14.1%	8
46.8%	36.7%	16.5%	9
46.8%	34%	19.2%	10
48.4%	31%	20.6%	11
48.4%	29.6%	22%	12
49.2%	28%	22.8%	13
49.2%	27.3%	23.5%	14

sample74.0ms

Algorithm

intervals

Results

16.0ms	45×	body	1280	valid
11.0ms	38×	body	1280	invalid
9.0ms	43×	body	640	invalid
9.0ms	42×	body	640	valid
7.0ms	136×	body	80	valid
3.0ms	20×	body	320	valid
2.0ms	17×	body	320	invalid
1.0ms	13×	body	160	valid
1.0ms	11×	body	160	invalid
1.0ms	17×	body	80	invalid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5814	7

prune4.0ms

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: 0.2b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ (sin y) y))
0.1b	(/ (sin 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×	`cosh-def` `associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 69

Calls

3 calls:

1.0ms	(cosh x)
7.0ms	(* (cosh x) (/ (sin y) y))
4.0ms	(/ (sin y) y)

series32.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(cosh x)
21.0ms	(* (cosh x) (/ (sin y) y))
4.0ms	(/ (sin y) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5250	605

prune118.0ms

Filtered

62 candidates to 78 candidates (-25.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	71	7	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	8	79

Merged error: 0.0b

Counts

79 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (exp x) (exp (neg x))) y)
0.0b	(+ (exp x) (exp (neg x)))
0.3b	(* (sin y) (/ (+ (exp x) (exp (neg x))) y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
31×	`times-frac`
28×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`cosh-undef` `distribute-lft-out`
5×	`pow1` `associate-/l*` `add-log-exp`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative`

Counts

3 → 88

Calls

3 calls:

7.0ms	(/ (+ (exp x) (exp (neg x))) y)
4.0ms	(+ (exp x) (exp (neg x)))
11.0ms	(* (sin y) (/ (+ (exp x) (exp (neg x))) y))

series30.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/ (+ (exp x) (exp (neg x))) y)
3.0ms	(+ (exp x) (exp (neg x)))
15.0ms	(* (sin y) (/ (+ (exp x) (exp (neg x))) y))

simplify70.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4908	1090
1	4908	1090

prune125.0ms

Filtered

69 candidates to 97 candidates (-40.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	95	10	105

Merged error: 0b

Counts

105 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.3b	(/ 1 (/ y (sin y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
104×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
90×	`add-cube-cbrt`
44×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`cosh-def` `associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

4 → 186

Calls

4 calls:

1.0ms	(cosh x)
15.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
3.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cosh x)
20.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
6.0ms	(/ y (sin y))
4.0ms	(/ 1 (/ y (sin y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4937	1834
1	4937	1834

prune209.0ms

Filtered

134 candidates to 198 candidates (-47.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	197	1	198
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	198	10	208

Merged error: 0b

Counts

208 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
427×	`add-sqr-sqrt`
398×	`*-un-lft-identity`
392×	`add-cube-cbrt`
174×	`associate-r`
106×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
36×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
7×	`pow1`
5×	`cbrt-unprod`
4×	`add-log-exp`
3×	`cosh-def` `associate-l`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 487

Calls

4 calls:

1.0ms	(cosh x)
42.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
4.0ms	(/ 1 (sin y))
11.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series32.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cosh x)
17.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
4.0ms	(/ 1 (sin y))
4.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify126.0ms

Algorithm

egg-herbie

Counts

499 → 499

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4970	5995
1	4970	5995

prune517.0ms

Filtered

266 candidates to 499 candidates (-87.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	498	1	499
Fresh	2	4	6
Picked	0	1	1
Done	0	3	3
Total	500	9	509

Merged error: 0b

Counts

509 → 9

regimes311.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	7
1	25	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

545.0ms	1475×	body	1280	valid
433.0ms	1389×	body	1280	invalid
272.0ms	1275×	body	640	valid
249.0ms	1194×	body	640	invalid
225.0ms	4280×	body	80	valid
93.0ms	646×	body	320	valid
90.0ms	616×	body	320	invalid
34.0ms	303×	body	160	invalid
33.0ms	324×	body	160	valid
29.0ms	498×	body	80	invalid

Details

analyze353.0ms

sample74.0ms

simplify71.0ms

prune4.0ms

localize7.0ms

rewrite14.0ms

series32.0ms

simplify38.0ms

prune118.0ms

localize11.0ms

rewrite25.0ms

series30.0ms

simplify70.0ms

prune125.0ms

localize8.0ms

rewrite33.0ms

series36.0ms

simplify85.0ms

prune209.0ms

localize11.0ms

rewrite93.0ms

series32.0ms

simplify126.0ms

prune517.0ms

regimes311.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling