Details

sample28.0ms

Algorithm

intervals

Results

7.0ms	175×	body	80	valid
7.0ms	42×	body	640	valid
4.0ms	15×	body	1280	valid
2.0ms	15×	body	320	valid
1.0ms	9×	body	160	valid

simplify8.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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

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:

8.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)

series93.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* x (/ (sin y) y))
30.0ms	(/ (sin y) y)

simplify37.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	213	320
1	988	289
2	5002	289

prune145.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

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:

24.0ms	(* x (/ 1 (/ y (sin y))))
2.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))

series115.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* x (/ 1 (/ y (sin y))))
24.0ms	(/ y (sin y))
29.0ms	(/ 1 (/ y (sin y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	567	1204
1	2885	1046
2	5001	925

prune341.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(/ 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:

2.0ms	(/ y (sin y))
5.0ms	(/ x (/ y (sin y)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ y (sin y))
61.0ms	(/ x (/ y (sin y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	365	711
1	1625	675
2	5002	674

prune245.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (/ 1 y) (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
426×	`add-sqr-sqrt`
397×	`*-un-lft-identity`
391×	`add-cube-cbrt`
174×	`associate-r`
105×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
35×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
6×	`pow1`
5×	`cbrt-unprod`
3×	`associate-l` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `inv-pow`

Counts

3 → 477

Calls

3 calls:

63.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
2.0ms	(/ 1 (sin y))
11.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series104.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
14.0ms	(/ 1 (sin y))
28.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

486 → 486

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1776	4443
1	5002	3822

prune808.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes100.0ms

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

sample808.0ms

Algorithm

intervals

Results

214.0ms	895×	body	1280	valid
195.0ms	5264×	body	80	valid
163.0ms	997×	body	640	valid
61.0ms	561×	body	320	valid
22.0ms	283×	body	160	valid