Details

sample58.0ms

Algorithm

intervals

Results

15.0ms	55×	body	1280	valid
13.0ms	339×	body	80	valid
12.0ms	67×	body	640	valid
4.0ms	36×	body	320	valid
1.0ms	14×	body	160	valid

simplify51.0ms

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: 12.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
12.1b	(/ (* (sin x) (sinh y)) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
36×	`times-frac`
30×	`add-cube-cbrt` `*-un-lft-identity`
15×	`associate-r` `associate-l`
12×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `*-commutative` `unswap-sqr`
3×	`sinh-def` `associate-/r*` `add-log-exp`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 93

Calls

3 calls:

1.0ms	(sinh y)
5.0ms	(* (sin x) (sinh y))
9.0ms	(/ (* (sin x) (sinh y)) x)

series252.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(sinh y)
86.0ms	(* (sin x) (sinh y))
102.0ms	(/ (* (sin x) (sinh y)) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	408	700
1	1720	650
2	5002	636

prune173.0ms

Filtered

102 candidates to 79 candidates (77.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	97	5	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
19×	`times-frac`
13×	`associate-r`
10×	`add-exp-log` `associate-*r/` `add-cbrt-cube`
7×	`associate-/l*`
6×	`associate-/r*`
5×	`pow1`
3×	`sinh-def` `associate-l` `clear-num` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `prod-exp` `un-div-inv` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

3 → 79

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(/ (sinh y) x)
9.0ms	(* (sin x) (/ (sinh y) x))

series237.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(sinh y)
75.0ms	(/ (sinh y) x)
97.0ms	(* (sin x) (/ (sinh y) x))

simplify48.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	345	471
1	1355	425
2	5001	413

prune150.0ms

Filtered

88 candidates to 65 candidates (73.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	87	6	93

Merged error: 0b

Counts

93 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.5b	(/ (sin x) (/ x (sinh y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
20×	`associate-/r*`
14×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`sinh-def` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

3 → 118

Calls

3 calls:

1.0ms	(sinh y)
3.0ms	(/ x (sinh y))
8.0ms	(/ (sin x) (/ x (sinh y)))

series280.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(sinh y)
113.0ms	(/ x (sinh y))
102.0ms	(/ (sin x) (/ x (sinh y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	480	966
1	2010	914
2	5001	893

prune235.0ms

Filtered

127 candidates to 104 candidates (81.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	124	3	127
Fresh	3	1	4
Picked	1	0	1
Done	1	0	1
Total	129	4	133

Merged error: 0b

Counts

133 → 4

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

28×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-l`
11×	`sinh-def`
10×	`add-exp-log` `add-cbrt-cube`
9×	`frac-times` `associate-l/` `associate-/r` `associate-/l*`
5×	`pow1`
3×	`frac-2neg` `associate-r` `clear-num` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

3 → 85

Calls

3 calls:

1.0ms	(sinh y)
8.0ms	(* (/ (sin x) x) (sinh y))
4.0ms	(/ (sin x) x)

series196.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(sinh y)
99.0ms	(* (/ (sin x) x) (sinh y))
30.0ms	(/ (sin x) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	360	535
1	1637	490
2	5001	451

prune155.0ms

Filtered

94 candidates to 72 candidates (76.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	94	4	98

Merged error: 0b

Counts

98 → 4

regimes61.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b 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

sample1.8s

Algorithm

intervals

Results

518.0ms	1813×	body	1280	valid
411.0ms	10252×	body	80	valid
369.0ms	2020×	body	640	valid
145.0ms	1096×	body	320	valid
56.0ms	625×	body	160	valid