Details

sample65.0ms

Algorithm

intervals

Results

19.0ms	57×	body	1280	valid
14.0ms	336×	body	80	valid
13.0ms	71×	body	640	valid
4.0ms	30×	body	320	valid
2.0ms	17×	body	160	valid

simplify48.0ms

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	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: 16.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
16.3b	(/ (* (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×	`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)
4.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) x)

series245.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
86.0ms	(* (sin x) (sinh y))
97.0ms	(/ (* (sin x) (sinh y)) x)

simplify39.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (34.0ms)

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

prune126.0ms

Filtered

64 candidates to 49 candidates (76.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	59	5	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	6	65

Merged error: 0.0b

Counts

65 → 6

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))

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×	`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:

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

series229.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ (sinh y) x)
63.0ms	(sinh y)
93.0ms	(* (sin x) (/ (sinh y) x))

simplify41.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (35.0ms)

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

prune153.0ms

Filtered

83 candidates to 65 candidates (78.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	83	6	89

Merged error: 0.0b

Counts

89 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

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-r/` `associate-l*`
5×	`sinh-def`
4×	`div-exp` `pow-prod-down`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-l/` `un-div-inv` `-commutative`
1×	`div-inv`

Counts

3 → 78

Calls

3 calls:

1.0ms	(sinh y)
8.0ms	(* (sin x) (* (sinh y) (/ 1 x)))
7.0ms	(* (sinh y) (/ 1 x))

series242.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
106.0ms	(* (sin x) (* (sinh y) (/ 1 x)))
73.0ms	(* (sinh y) (/ 1 x))

simplify48.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	421	485
1	1597	398
2	5001	357

prune196.0ms

Filtered

87 candidates to 62 candidates (71.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	86	7	93

Merged error: 0b

Counts

93 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.4b	(/ (sin x) (/ x (sinh y)))

rewrite18.0ms

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:

1.0ms	(sinh y)
3.0ms	(/ x (sinh y))
10.0ms	(/ (sin x) (/ x (sinh y)))

series309.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(sinh y)
116.0ms	(/ x (sinh y))
94.0ms	(/ (sin x) (/ x (sinh y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (58.0ms)

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

prune245.0ms

Filtered

125 candidates to 105 candidates (84.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	2	3
Picked	0	1	1
Done	1	2	3
Total	126	6	132

Merged error: 0b

Counts

132 → 6

regimes93.0ms

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

522.0ms	1873×	body	1280	valid
425.0ms	10223×	body	80	valid
383.0ms	1949×	body	640	valid
146.0ms	1090×	body	320	valid
53.0ms	600×	body	160	valid