Details

sample65.0ms

Algorithm

intervals

Results

21.0ms	61×	body	1280	valid
14.0ms	319×	body	80	valid
13.0ms	68×	body	640	valid
4.0ms	30×	body	320	valid
1.0ms	13×	body	160	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
14.0b	(/ (* (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)

series241.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(sinh y)
84.0ms	(* (sin x) (sinh y))
95.0ms	(/ (* (sin x) (sinh y)) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (34.0ms)

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

prune119.0ms

Filtered

58 candidates to 43 candidates (74.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	51	7	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	7	59

Merged error: 0b

Counts

59 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) x)
0.2b	(* (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:

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

series229.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
73.0ms	(/ (sinh y) x)
92.0ms	(* (sin x) (/ (sinh y) x))

simplify43.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (37.0ms)

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

prune143.0ms

Filtered

77 candidates to 60 candidates (77.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	77	7	84

Merged error: 0b

Counts

84 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(sinh y)
0.6b	(/ (sin x) (/ x (sinh y)))

rewrite11.0ms

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)))

series158.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(sinh y)
95.0ms	(/ (sin x) (/ x (sinh y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (42.0ms)

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

prune185.0ms

Filtered

88 candidates to 75 candidates (85.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	88	7	95

Merged error: 0b

Counts

95 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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:

2.0ms	(sinh y)
11.0ms	(* (/ (sin x) x) (sinh y))
5.0ms	(/ (sin x) x)

series350.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(sinh y)
262.0ms	(* (/ (sin x) x) (sinh y))
32.0ms	(/ (sin x) x)

simplify41.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (31.0ms)

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

prune124.0ms

Filtered

78 candidates to 59 candidates (75.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	79	6	85

Merged error: 0b

Counts

85 → 6

regimes94.0ms

Accuracy

0% (0.2b 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	7	4
1	7	4

end0.0ms

sample2.0s

Algorithm

intervals

Results

591.0ms	1930×	body	1280	valid
460.0ms	10317×	body	80	valid
404.0ms	1989×	body	640	valid
161.0ms	1152×	body	320	valid
60.0ms	590×	body	160	valid