Details

sample33.0ms

Algorithm

intervals

Results

8.0ms	32×	body	1280	valid
7.0ms	169×	body	80	valid
6.0ms	35×	body	640	valid
1.0ms	9×	body	320	valid
1.0ms	11×	body	160	valid

simplify6.0ms

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

prune3.0ms

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: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

6.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)

series15.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)

simplify31.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	213	320
1	988	289
2	5001	289

prune83.0ms

Filtered

48 candidates to 65 candidates (-35.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	58	7	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	7	66

Merged error: 0b

Counts

66 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`add-cube-cbrt` `times-frac`
9×	`pow1`
7×	`cbrt-unprod`
6×	`associate-l`
4×	`associate-*r/` `div-exp` `pow-prod-down`
3×	`unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `un-div-inv` `*-commutative` `add-log-exp`
1×	`div-inv`

Counts

2 → 60

Calls

2 calls:

7.0ms	(* x (* (sin y) (/ 1 y)))
7.0ms	(* (sin y) (/ 1 y))

series17.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(* x (* (sin y) (/ 1 y)))
4.0ms	(* (sin y) (/ 1 y))

simplify37.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	282	337
1	1251	269
2	5001	252

prune64.0ms

Filtered

42 candidates to 66 candidates (-57.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	66	7	73

Merged error: 0b

Counts

73 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.3b	(/ 1 (/ y (sin y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 176

Calls

3 calls:

14.0ms	(* x (/ 1 (/ y (sin y))))
3.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))

series20.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(* x (/ 1 (/ y (sin y))))
6.0ms	(/ y (sin y))
4.0ms	(/ 1 (/ y (sin y)))

simplify66.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	567	1202
1	2885	1044
2	5001	923

prune126.0ms

Filtered

113 candidates to 185 candidates (-63.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	186	6	192

Merged error: 0b

Counts

192 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ y (sin y))
0.3b	(/ x (/ y (sin y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 97

Calls

2 calls:

3.0ms	(/ y (sin y))
5.0ms	(/ x (/ y (sin y)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ y (sin y))
10.0ms	(/ x (/ y (sin y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	365	711
1	1625	675
2	5001	674

prune75.0ms

Filtered

84 candidates to 103 candidates (-22.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	103	6	109

Merged error: 0b

Counts

109 → 6

regimes86.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample975.0ms

Algorithm

intervals

Results

262.0ms	970×	body	1280	valid
213.0ms	5274×	body	80	valid
169.0ms	964×	body	640	valid
61.0ms	502×	body	320	valid
27.0ms	290×	body	160	valid

Details

sample33.0ms

simplify6.0ms

prune3.0ms

localize5.0ms

rewrite11.0ms

series15.0ms

simplify31.0ms

prune83.0ms

localize6.0ms

rewrite16.0ms

series17.0ms

simplify37.0ms

prune64.0ms

localize6.0ms

rewrite30.0ms

series20.0ms

simplify66.0ms

prune126.0ms

localize5.0ms

rewrite12.0ms

series16.0ms

simplify44.0ms

prune75.0ms

regimes86.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample975.0ms

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