Details

sample59.0ms

Algorithm

intervals

Results

16.0ms	55×	body	1280	valid
13.0ms	310×	body	80	valid
10.0ms	55×	body	640	valid
5.0ms	38×	body	320	valid
2.0ms	23×	body	160	valid

simplify45.0ms

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: 13.4b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.4b	(/ (* (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)
5.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) x)

series228.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(sinh y)
81.0ms	(* (sin x) (sinh y))
91.0ms	(/ (* (sin x) (sinh y)) x)

simplify42.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (35.0ms)

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

prune137.0ms

Filtered

64 candidates to 49 candidates (76.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	57	7	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	7	65

Merged error: 0b

Counts

65 → 7

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))

series225.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
71.0ms	(/ (sinh y) x)
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

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	83	7	90

Merged error: 0b

Counts

90 → 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)))

rewrite15.0ms

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:

3.0ms	(/ x (sinh y))
1.0ms	(sinh y)
6.0ms	(/ (sin x) (/ x (sinh y)))

series251.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(/ x (sinh y))
59.0ms	(sinh y)
90.0ms	(/ (sin x) (/ x (sinh y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (46.0ms)

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

prune245.0ms

Filtered

125 candidates to 105 candidates (84.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	127	5	132

Merged error: 0b

Counts

132 → 5

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)

rewrite16.0ms

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)
9.0ms	(* (/ (sin x) x) (sinh y))
4.0ms	(/ (sin x) x)

series176.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(sinh y)
89.0ms	(* (/ (sin x) x) (sinh y))
28.0ms	(/ (sin x) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (32.0ms)

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

prune140.0ms

Filtered

84 candidates to 65 candidates (77.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0b

Counts

89 → 5

regimes63.0ms

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

619.0ms	1970×	body	1280	valid
471.0ms	10397×	body	80	valid
394.0ms	1941×	body	640	valid
170.0ms	1176×	body	320	valid
61.0ms	610×	body	160	valid