Details

sample37.0ms

Algorithm

intervals

Results

8.0ms	31×	body	1280	valid
7.0ms	189×	body	80	valid
7.0ms	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)

rewrite46.0ms

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×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

9.0ms	(/ (sin y) y)
15.0ms	(* x (/ (sin y) y))
20.0ms	(/ (* x (/ (sin y) y)) z)

series154.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ (sin y) y)
50.0ms	(* x (/ (sin y) y))
74.0ms	(/ (* x (/ (sin y) y)) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	326	487
1	1643	420
2	5001	420

prune198.0ms

Pruning

8 alts after pruning (8 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))

rewrite63.0ms

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×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 162

Calls

3 calls:

15.0ms	(/ (/ (sin y) y) z)
8.0ms	(/ (sin y) y)
32.0ms	(* x (/ (/ (sin y) y) z))

series126.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (/ (sin y) y) z)
22.0ms	(/ (sin y) y)
66.0ms	(* x (/ (/ (sin y) y) z))

simplify70.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	605	1176
1	2862	1100
2	5001	1100

prune416.0ms

Pruning

8 alts after pruning (7 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)

rewrite85.0ms

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×	`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 → 207

Calls

4 calls:

7.0ms	(/ y (sin y))
32.0ms	(* x (/ 1 (/ y (sin y))))
11.0ms	(/ 1 (/ y (sin y)))
25.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series162.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ y (sin y))
48.0ms	(* x (/ 1 (/ y (sin y))))
30.0ms	(/ 1 (/ y (sin y)))
64.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify89.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	709	1445
1	3691	1227
2	5003	1090

prune384.0ms

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)

rewrite175.0ms

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×	`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 → 519

Calls

4 calls:

73.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
6.0ms	(/ 1 (sin y))
19.0ms	(/ (/ 1 y) (/ 1 (sin y)))
35.0ms	(/ (* x (/ (/ 1 y) (/ 1 (sin y)))) z)

series161.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
12.0ms	(/ 1 (sin y))
25.0ms	(/ (/ 1 y) (/ 1 (sin y)))
70.0ms	(/ (* x (/ (/ 1 y) (/ 1 (sin y)))) z)

simplify80.0ms

Algorithm

egg-herbie

Counts

531 → 531

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1974	4830
1	5001	4099

prune931.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes182.0ms

Accuracy

92.3% (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	34	27
1	34	27

end0.0ms

sample1.3s

Algorithm

intervals

Results

445.0ms	5827×	body	80	valid
271.0ms	1005×	body	1280	valid
193.0ms	1048×	body	640	valid
75.0ms	544×	body	320	valid
37.0ms	315×	body	160	valid