Details

sample63.0ms

Algorithm

intervals

Results

19.0ms	69×	body	1280	valid
15.0ms	348×	body	80	valid
10.0ms	59×	body	640	valid
4.0ms	33×	body	320	valid
1.0ms	16×	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	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: 13.1b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.0b	(/ (* (sin x) (sinh y)) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`sinh-def`
2×	`associate-r/` `-commutative` `associate-/l*`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 9

Calls

3 calls:

1.0ms	(sinh y)
3.0ms	(* (sin x) (sinh y))
4.0ms	(/ (* (sin x) (sinh y)) x)

series228.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(sinh y)
80.0ms	(* (sin x) (sinh y))
89.0ms	(/ (* (sin x) (sinh y)) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	161	93
1	414	87
2	1620	85
3	5001	62

prune34.0ms

Filtered

18 candidates to 13 candidates (72.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`sinh-def` `associate-/r/`
5×	`frac-2neg` `clear-num` `div-inv`
4×	`frac-times` `associate-l` `associate-*l/`
3×	`associate-/r*`
1×	`associate-r/` `-commutative`

Counts

3 → 22

Calls

3 calls:

1.0ms	(sinh y)
5.0ms	(* (/ (sin x) (/ x 1)) (sinh y))
3.0ms	(/ (sin x) (/ x 1))

series174.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(sinh y)
88.0ms	(* (/ (sin x) (/ x 1)) (sinh y))
27.0ms	(/ (sin x) (/ x 1))

simplify172.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	190	132
1	745	116
2	4104	93
3	5001	93

prune61.0ms

Filtered

31 candidates to 23 candidates (74.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(/ (* 2 (sinh y)) (/ (* 2 x) (sin x)))
0.1b	(/ (* 2 x) (sin x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate-/l*`
5×	`associate-/r/` `div-inv`
4×	`*-commutative`
3×	`frac-2neg` `clear-num`
2×	`sinh-def` `times-frac`
1×	`associate-r/` `associate-/r` `associate-/l/`

Counts

3 → 20

Calls

3 calls:

1.0ms	(sinh y)
6.0ms	(/ (* 2 (sinh y)) (/ (* 2 x) (sin x)))
3.0ms	(/ (* 2 x) (sin x))

series172.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(sinh y)
80.0ms	(/ (* 2 (sinh y)) (/ (* 2 x) (sin x)))
33.0ms	(/ (* 2 x) (sin x))

simplify146.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	200	133
1	784	116
2	4654	96
3	5003	96

prune66.0ms

Filtered

29 candidates to 25 candidates (86.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	29	4	33

Merged error: 0.0b

Counts

33 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*r/`
7×	`sinh-def`
6×	`clear-num` `un-div-inv`
5×	`frac-times` `associate-*l/`
3×	`frac-2neg` `associate-l` `*-commutative`
2×	`associate-r` `div-inv`

Counts

3 → 23

Calls

3 calls:

1.0ms	(sinh y)
5.0ms	(* (* (sin x) (/ 1 x)) (sinh y))
4.0ms	(* (sin x) (/ 1 x))

series173.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(sinh y)
88.0ms	(* (* (sin x) (/ 1 x)) (sinh y))
30.0ms	(* (sin x) (/ 1 x))

simplify124.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	174	133
1	639	126
2	3285	97
3	5001	97

prune50.0ms

Filtered

32 candidates to 18 candidates (56.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	32	4	36

Merged error: 0.0b

Counts

36 → 4

regimes74.0ms

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	11	5
1	11	5

end0.0ms

sample1.8s

Algorithm

intervals

Results

522.0ms	1819×	body	1280	valid
405.0ms	10338×	body	80	valid
359.0ms	2029×	body	640	valid
138.0ms	1086×	body	320	valid
48.0ms	567×	body	160	valid