Details

sample63.0ms

Algorithm

intervals

Results

16.0ms	53×	body	1280	valid
14.0ms	316×	body	80	valid
12.0ms	58×	body	640	valid
5.0ms	35×	body	320	valid
2.0ms	19×	body	160	valid

simplify49.0ms

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	146	4
4	292	4
5	556	4
6	1543	4
7	5001	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: 9.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
9.4b	(/ (* (sin x) (sinh y)) x)

rewrite13.0ms

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×	`expm1-log1p-u` `sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `log1p-expm1-u` `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 → 55

Calls

3 calls:

1.0ms	(sinh y)
5.0ms	(* (sin x) (sinh y))
6.0ms	(/ (* (sin x) (sinh y)) x)

series237.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
82.0ms	(* (sin x) (sinh y))
94.0ms	(/ (* (sin x) (sinh y)) x)

simplify43.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	292	340
1	1273	291
2	5001	273

prune129.0ms

Filtered

64 candidates to 49 candidates (76.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	57	7	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	8	65

Merged error: 0b

Counts

65 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) x)
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×	`expm1-log1p-u` `associate-l` `associate-/r` `log1p-expm1-u` `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 → 74

Calls

3 calls:

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

series223.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(sinh y)
71.0ms	(/ (sinh y) x)
92.0ms	(* (sin x) (/ (sinh y) x))

simplify43.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	342	450
1	1303	402
2	5001	400

prune154.0ms

Filtered

83 candidates to 63 candidates (75.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Merged error: 0b

Counts

91 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 116

Calls

3 calls:

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

series261.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(/ x (sinh y))
59.0ms	(sinh y)
94.0ms	(/ (sin x) (/ x (sinh y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	488	956
1	2017	903
2	5001	882

prune259.0ms

Filtered

125 candidates to 105 candidates (84.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	2	2	4
Picked	0	1	1
Done	1	1	2
Total	126	6	132

Merged error: 0b

Counts

132 → 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×	`expm1-log1p-u` `sinh-def` `associate-r` `associate-/r` `log1p-expm1-u` `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 → 75

Calls

3 calls:

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

series183.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
93.0ms	(* (/ (sin x) x) (sinh y))
29.0ms	(/ (sin x) x)

simplify40.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	323	445
1	1263	397
2	5001	374

prune148.0ms

Filtered

84 candidates to 65 candidates (77.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	84	6	90

Merged error: 0b

Counts

90 → 6

regimes95.0ms

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

sample2.0s

Algorithm

intervals

Results

582.0ms	1884×	body	1280	valid
492.0ms	10476×	body	80	valid
402.0ms	1987×	body	640	valid
159.0ms	1110×	body	320	valid
67.0ms	626×	body	160	valid