Details

sample66.0ms

Algorithm

intervals

Results

20.0ms	69×	body	1280	valid
14.0ms	337×	body	80	valid
13.0ms	72×	body	640	valid
4.0ms	34×	body	320	valid
2.0ms	19×	body	160	valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	32	4
2	68	4
3	144	4
4	278	4
5	517	4
6	1455	4
7	5002	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 14.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
14.1b	(/ (* (sin x) (sinh y)) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
3×	`sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) x)

series228.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(sinh y)
80.0ms	(* (sin x) (sinh y))
91.0ms	(/ (* (sin x) (sinh y)) x)

simplify40.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	280	320
1	1233	272
2	5001	255

prune118.0ms

Filtered

58 candidates to 43 candidates (74.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	50	8	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	8	59

Merged error: 0.0b

Counts

59 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

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

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:

3.0ms	(/ (sinh y) x)
1.0ms	(sinh y)
7.0ms	(* (sin x) (/ (sinh y) x))

series220.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(/ (sinh y) x)
61.0ms	(sinh y)
89.0ms	(* (sin x) (/ (sinh y) x))

simplify46.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	328	433
1	1261	387
2	5001	385

prune150.0ms

Filtered

77 candidates to 58 candidates (75.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	77	8	85

Merged error: 0b

Counts

85 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(sinh y)
0.7b	(/ (sin x) (/ x (sinh y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
45×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
5×	`sinh-def` `associate-/r/` `div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`pow1` `add-log-exp`
1×	`frac-2neg` `clear-num`

Counts

2 → 82

Calls

2 calls:

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

series159.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(sinh y)
95.0ms	(/ (sin x) (/ x (sinh y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	444	781
1	1850	741
2	5002	736

prune190.0ms

Filtered

88 candidates to 75 candidates (85.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	4	2	6
Picked	0	1	1
Done	0	1	1
Total	90	6	96

Merged error: 0b

Counts

96 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`sinh-def` `associate-r` `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	(sinh y)
7.0ms	(* (/ (sin x) x) (sinh y))
4.0ms	(/ (sin x) x)

series190.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(sinh y)
95.0ms	(* (/ (sin x) x) (sinh y))
30.0ms	(/ (sin x) x)

simplify41.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	311	427
1	1229	381
2	5001	358

prune128.0ms

Filtered

78 candidates to 59 candidates (75.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	78	6	84

Merged error: 0b

Counts

84 → 6

regimes70.0ms

Accuracy

0% (0.1b 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	4
1	7	4

end0.0ms

sample1.9s

Algorithm

intervals

Results

548.0ms	1852×	body	1280	valid
450.0ms	10369×	body	80	valid
391.0ms	2015×	body	640	valid
149.0ms	1114×	body	320	valid
55.0ms	603×	body	160	valid