Details

sample40.0ms

Algorithm

intervals

Results

11.0ms	189×	body	80	valid
8.0ms	31×	body	1280	valid
6.0ms	37×	body	640	valid
3.0ms	23×	body	320	valid
1.0ms	7×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	4
1	24	4
2	48	4
3	71	4
4	79	4
5	79	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
2.9b	(/ (* x (/ (sin y) y)) z)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

8.0ms	(/ (sin y) y)
13.0ms	(* x (/ (sin y) y))
13.0ms	(/ (* x (/ (sin y) y)) z)

series136.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ (sin y) y)
50.0ms	(* x (/ (sin y) y))
63.0ms	(/ (* x (/ (sin y) y)) z)

simplify45.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	333	511
1	1655	443
2	5001	443

prune203.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
2.9b	(* x (/ (/ (sin y) y) z))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt`
89×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
3×	`expm1-log1p-u` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 168

Calls

3 calls:

13.0ms	(/ (/ (sin y) y) z)
8.0ms	(/ (sin y) y)
29.0ms	(* x (/ (/ (sin y) y) z))

series117.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (/ (sin y) y) z)
23.0ms	(/ (sin y) y)
63.0ms	(* x (/ (/ (sin y) y) z))

simplify78.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	613	1200
1	2878	1122
2	5001	1122

prune423.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(* x (/ 1 (/ y (sin y))))
0.2b	(/ 1 (/ y (sin y)))
2.9b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
64×	`add-exp-log`
44×	`associate-r`
34×	`add-cbrt-cube`
30×	`div-exp`
19×	`associate-/r*`
14×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
7×	`pow1` `associate-/l*`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `associate-/r/` `un-div-inv` `associate-/l/`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 215

Calls

4 calls:

7.0ms	(/ y (sin y))
30.0ms	(* x (/ 1 (/ y (sin y))))
10.0ms	(/ 1 (/ y (sin y)))
22.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series168.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ y (sin y))
49.0ms	(* x (/ 1 (/ y (sin y))))
30.0ms	(/ 1 (/ y (sin y)))
62.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify91.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	720	1479
1	3714	1260
2	5002	1123

prune430.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (/ 1 y) (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))
2.9b	(/ (* x (/ (/ 1 y) (/ 1 (sin y)))) z)

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

857×	`times-frac`
429×	`add-sqr-sqrt`
400×	`*-un-lft-identity`
394×	`add-cube-cbrt`
183×	`add-exp-log`
174×	`associate-r`
116×	`div-exp`
61×	`add-cbrt-cube`
58×	`div-inv`
34×	`prod-exp`
31×	`cbrt-undiv`
25×	`rec-exp` `1-exp`
19×	`associate-/r*`
17×	`associate-/l*`
10×	`cbrt-unprod` `unswap-sqr`
7×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `associate-/r/` `associate-/l/`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 527

Calls

4 calls:

68.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
6.0ms	(/ 1 (sin y))
21.0ms	(/ (/ 1 y) (/ 1 (sin y)))
30.0ms	(/ (* x (/ (/ 1 y) (/ 1 (sin y)))) z)

series152.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
13.0ms	(/ 1 (sin y))
29.0ms	(/ (/ 1 y) (/ 1 (sin y)))
62.0ms	(/ (* x (/ (/ 1 y) (/ 1 (sin y)))) z)

simplify95.0ms

Algorithm

egg-herbie

Counts

539 → 539

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	1984	4871
1	5001	4138

prune959.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes192.0ms

Accuracy

92.5% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	21
1	30	21

end0.0ms

sample1.0s

Algorithm

intervals

Results

269.0ms	1005×	body	1280	valid
231.0ms	5827×	body	80	valid
185.0ms	1048×	body	640	valid
64.0ms	544×	body	320	valid
27.0ms	315×	body	160	valid