Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	207×	body	80	valid
7.0ms	27×	body	1280	valid
5.0ms	28×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	10×	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: 2.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.6b	(/ (* x (/ (sin y) y)) z)

rewrite18.0ms

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:

7.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
5.0ms	(/ (* x (/ (sin y) y)) z)

series149.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify47.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (11.0ms)

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

prune206.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (/ (sin y) y))
0.1b	(/ (sin y) y)
1.7b	(/ x (/ z (/ (sin y) y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
60×	`associate-/r*`
23×	`div-inv`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*`
6×	`associate-/r/`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

3 → 299

Calls

3 calls:

5.0ms	(/ z (/ (sin y) y))
3.0ms	(/ (sin y) y)
12.0ms	(/ x (/ z (/ (sin y) y)))

series174.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ z (/ (sin y) y))
30.0ms	(/ (sin y) y)
80.0ms	(/ x (/ z (/ (sin y) y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1117	2974
1	5001	2852

prune812.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (/ 1 (/ (sin y) y)))
0.1b	(/ (sin y) y)
0.1b	(/ 1 (/ (sin y) y))
1.7b	(/ x (* z (/ 1 (/ (sin y) y))))

rewrite48.0ms

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`
17×	`associate-/r*`
14×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
9×	`associate-/l*`
7×	`pow1`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `un-div-inv`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 215

Calls

4 calls:

19.0ms	(* z (/ 1 (/ (sin y) y)))
3.0ms	(/ (sin y) y)
5.0ms	(/ 1 (/ (sin y) y))
13.0ms	(/ x (* z (/ 1 (/ (sin y) y))))

series197.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* z (/ 1 (/ (sin y) y)))
30.0ms	(/ (sin y) y)
23.0ms	(/ 1 (/ (sin y) y))
80.0ms	(/ x (* z (/ 1 (/ (sin y) y))))

simplify93.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	710	1483
1	3681	1260
2	5003	1130

prune427.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

1.7b	(/ x (* z (/ 1 (/ (sin y) y))))
17.3b	(cbrt (/ x (* z (/ 1 (/ (sin y) y)))))
17.3b	(cbrt (/ x (* z (/ 1 (/ (sin y) y)))))
17.3b	(cbrt (/ x (* z (/ 1 (/ (sin y) y)))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
27×	`cbrt-prod`
18×	`add-cbrt-cube`
15×	`div-exp`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
8×	`associate-/r/`
7×	`cbrt-undiv` `prod-exp`
4×	`pow1` `expm1-log1p-u` `associate-*r/` `un-div-inv` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `cbrt-unprod` `associate-/l*`
2×	`rec-exp` `1-exp`
1×	`frac-2neg` `clear-num` `associate-/r*`

Counts

4 → 93

Calls

4 calls:

9.0ms	(/ x (* z (/ 1 (/ (sin y) y))))
12.0ms	(cbrt (/ x (* z (/ 1 (/ (sin y) y)))))
12.0ms	(cbrt (/ x (* z (/ 1 (/ (sin y) y)))))
9.0ms	(cbrt (/ x (* z (/ 1 (/ (sin y) y)))))

series492.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(/ x (* z (/ 1 (/ (sin y) y))))
137.0ms	(cbrt (/ x (* z (/ 1 (/ (sin y) y)))))
135.0ms	(cbrt (/ x (* z (/ 1 (/ (sin y) y)))))
140.0ms	(cbrt (/ x (* z (/ 1 (/ (sin y) y)))))

simplify43.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	366	879
1	1541	783
2	5001	755

prune297.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes93.0ms

Accuracy

25.9% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 3.1b

bsearch34.0ms

Steps

Iters	Range		Point
7	-50970157.405274585	-963939.4016731131	-50225608.07832851

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	10
1	21	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

308.0ms	1081×	body	1280	valid
238.0ms	5799×	body	80	valid
194.0ms	1024×	body	640	valid
74.0ms	552×	body	320	valid
28.0ms	307×	body	160	valid