Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	32×	body	1280	valid
6.0ms	171×	body	80	valid
6.0ms	35×	body	640	valid
1.0ms	13×	body	320	valid
0.0ms	5×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	16	3
3	17	3
4	17	3

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 69

Calls

2 calls:

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

series90.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* x (/ (sin y) y))
33.0ms	(/ (sin y) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	229	344
1	1077	313
2	5001	313

prune108.0ms

Filtered

75 candidates to 54 candidates (28.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	70	5	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-l`
9×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
6×	`associate-/r` `associate-/l`
4×	`pow1`
3×	`associate-r`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

2 → 67

Calls

2 calls:

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

series76.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* (/ (sin y) y) x)
29.0ms	(/ (sin y) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	231	337
1	1132	306
2	5001	306

prune104.0ms

Filtered

73 candidates to 54 candidates (26.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	72	6	78

Merged error: 0b

Counts

78 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ x (/ y (sin y)))
0.1b	(/ y (sin y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`associate-/r*`
9×	`add-exp-log` `associate-/r/` `add-cbrt-cube` `associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`frac-2neg` `clear-num`
2×	`pow1` `add-log-exp`

Counts

2 → 105

Calls

2 calls:

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

series83.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ x (/ y (sin y)))
24.0ms	(/ y (sin y))

simplify49.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	371	731
1	1654	695
2	5002	694

prune177.0ms

Filtered

111 candidates to 90 candidates (18.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	108	3	111
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	111	6	117

Merged error: 0b

Counts

117 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

7.0b	(* (/ x (- y)) (- (sin y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate-l`
33×	`add-sqr-sqrt`
31×	`times-frac`
28×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-*l/`
15×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-r` `associate-/r*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`neg-mul-1`
3×	`pow1` `associate-/l*`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `clear-num` `*-commutative` `distribute-rgt-neg-out` `div-inv` `add-log-exp`

Counts

1 → 76

Calls

1 calls:

15.0ms

(* (/ x (- y)) (- (sin y)))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(* (/ x (- y)) (- (sin y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	409	475
1	2114	448
2	5001	443

prune116.0ms

Filtered

79 candidates to 60 candidates (24.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	79	6	85

Merged error: 0b

Counts

85 → 6

regimes62.0ms

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	6	3
1	6	3

end0.0ms

sample843.0ms

Algorithm

intervals

Results

241.0ms	936×	body	1280	valid
203.0ms	5232×	body	80	valid
160.0ms	995×	body	640	valid
61.0ms	533×	body	320	valid
24.0ms	304×	body	160	valid