Details

sample75.0ms

Algorithm

intervals

Results

20.0ms	68×	body	1280	valid
17.0ms	324×	body	80	valid
15.0ms	80×	body	640	valid
6.0ms	44×	body	320	valid
1.0ms	16×	body	160	valid

simplify68.0ms

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: 13.7b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.7b	(/ (* (sin x) (sinh y)) x)

rewrite14.0ms

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

series285.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(sinh y)
100.0ms	(* (sin x) (sinh y))
114.0ms	(/ (* (sin x) (sinh y)) x)

simplify46.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (41.0ms)

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

prune128.0ms

Filtered

58 candidates to 43 candidates (74.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	53	5	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	6	59

Merged error: 0.0b

Counts

59 → 6

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))

rewrite15.0ms

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

series266.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(sinh y)
86.0ms	(/ (sinh y) x)
113.0ms	(* (sin x) (/ (sinh y) x))

simplify59.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (48.0ms)

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

prune157.0ms

Filtered

77 candidates to 58 candidates (75.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	76	7	83

Merged error: 0b

Counts

83 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
0.7b	(/ (sin x) (/ x (sinh y)))

rewrite16.0ms

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` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 110

Calls

3 calls:

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

series309.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(/ x (sinh y))
71.0ms	(sinh y)
111.0ms	(/ (sin x) (/ x (sinh y)))

simplify73.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	475	938
1	1984	886
2	5001	865

prune269.0ms

Filtered

119 candidates to 98 candidates (82.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	119	7	126

Merged error: 0b

Counts

126 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.2b	(/ (/ x (sinh y)) (sin x))
0.7b	(/ 1 (/ (/ x (sinh y)) (sin x)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

501×	`times-frac`
246×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
52×	`associate-/r*`
32×	`add-exp-log`
23×	`div-inv`
20×	`add-cbrt-cube` `associate-/l*`
19×	`div-exp`
18×	`sinh-def` `associate-/r/`
10×	`cbrt-undiv`
5×	`pow1`
4×	`add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

4 → 322

Calls

4 calls:

1.0ms	(sinh y)
4.0ms	(/ x (sinh y))
7.0ms	(/ (/ x (sinh y)) (sin x))
13.0ms	(/ 1 (/ (/ x (sinh y)) (sin x)))

series491.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(sinh y)
133.0ms	(/ x (sinh y))
176.0ms	(/ (/ x (sinh y)) (sin x))
113.0ms	(/ 1 (/ (/ x (sinh y)) (sin x)))

simplify82.0ms

Algorithm

egg-herbie

Counts

334 → 334

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	1228	3680
1	5001	3295

prune727.0ms

Filtered

334 candidates to 238 candidates (71.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	334	0	334
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	334	7	341

Merged error: 0b

Counts

341 → 7

regimes130.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

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

566.0ms	1869×	body	1280	valid
464.0ms	10216×	body	80	valid
378.0ms	1925×	body	640	valid
165.0ms	1165×	body	320	valid
56.0ms	617×	body	160	valid