Details

sample152.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.21875%

Results

16.0ms	45×	body	1280	valid
10.0ms	33×	body	1280	invalid
9.0ms	46×	body	640	invalid
9.0ms	42×	body	640	valid
8.0ms	149×	body	80	invalid
7.0ms	139×	body	80	valid
4.0ms	26×	body	320	invalid
3.0ms	20×	body	320	valid
1.0ms	10×	body	160	valid
1.0ms	7×	body	160	invalid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	98	4
4	143	4
5	310	4
6	877	4
7	1781	4
8	4989	4
9	5001	4

prune8.0ms

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: 0.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ (sin y) y))
0.0b	(cosh x)
0.1b	(/ (sin y) 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×	`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:

6.0ms	(* (cosh x) (/ (sin y) y))
1.0ms	(cosh x)
4.0ms	(/ (sin y) y)

series28.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (cosh x) (/ (sin y) y))
7.0ms	(cosh x)
4.0ms	(/ (sin y) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	291	432
1	1111	386
2	5001	364

prune93.0ms

Filtered

59 candidates to 78 candidates (-32.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	70	8	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	8	79

Merged error: 0b

Counts

79 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (cosh x))
0.0b	(cbrt (cosh x))
0.0b	(* (cbrt (cosh x)) (cbrt (cosh x)))
0.1b	(/ (sin y) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`times-frac`
8×	`add-exp-log` `pow1/3`
6×	`cbrt-div` `cosh-def` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube`
4×	`add-log-exp` `unswap-sqr`
3×	`associate-/r` `associate-/l`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`cbrt-undiv` `pow2` `frac-times` `frac-2neg` `pow-plus` `associate-r/` `div-exp` `associate-l/` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt (cosh x))
1.0ms	(cbrt (cosh x))
5.0ms	(* (cbrt (cosh x)) (cbrt (cosh x)))
3.0ms	(/ (sin y) y)

series90.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt (cosh x))
24.0ms	(cbrt (cosh x))
38.0ms	(* (cbrt (cosh x)) (cbrt (cosh x)))
4.0ms	(/ (sin y) y)

simplify142.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	276	587
1	948	545
2	4535	507
3	5001	503

prune104.0ms

Filtered

74 candidates to 106 candidates (-43.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	106	8	114

Merged error: 0b

Counts

114 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (* (sin y) (/ 1 y)))
0.2b	(* (sin 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-l`
5×	`associate-*r/`
4×	`cosh-def` `div-exp` `pow-prod-down`
3×	`un-div-inv` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `*-commutative`
1×	`associate-*l/` `div-inv`

Counts

3 → 71

Calls

3 calls:

1.0ms	(cosh x)
7.0ms	(* (cosh x) (* (sin y) (/ 1 y)))
7.0ms	(* (sin y) (/ 1 y))

series29.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(cosh x)
19.0ms	(* (cosh x) (* (sin y) (/ 1 y)))
4.0ms	(* (sin y) (/ 1 y))

simplify44.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	361	448
1	1482	363
2	5002	334

prune83.0ms

Filtered

54 candidates to 80 candidates (-48.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	80	8	88

Merged error: 0b

Counts

88 → 8

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)))

rewrite34.0ms

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)
14.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
3.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))

series34.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cosh x)
18.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
5.0ms	(/ y (sin y))
4.0ms	(/ 1 (/ y (sin y)))

simplify77.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	644	1359
1	3041	1184
2	5002	1051

prune133.0ms

Filtered

124 candidates to 198 candidates (-59.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	198	8	206

Merged error: 0b

Counts

206 → 8

regimes214.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	11	11

end0.0ms

sample2.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.21875%

Results

566.0ms	1531×	body	1280	valid
456.0ms	1449×	body	1280	invalid
268.0ms	1280×	body	640	invalid
264.0ms	1229×	body	640	valid
236.0ms	4230×	body	80	invalid
233.0ms	4295×	body	80	valid
94.0ms	616×	body	320	invalid
92.0ms	627×	body	320	valid
37.0ms	350×	body	160	invalid
33.0ms	318×	body	160	valid

Details

sample152.0ms

simplify88.0ms

prune8.0ms

localize8.0ms

rewrite13.0ms

series28.0ms

simplify38.0ms

prune93.0ms

localize11.0ms

rewrite13.0ms

series90.0ms

simplify142.0ms

prune104.0ms

localize8.0ms

rewrite17.0ms

series29.0ms

simplify44.0ms

prune83.0ms

localize8.0ms

rewrite34.0ms

series34.0ms

simplify77.0ms

prune133.0ms

regimes214.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.8s

Profiling