Details

sample92.0ms

Algorithm

intervals

Results

40.0ms	115×	body	1280	valid
16.0ms	82×	body	640	valid
15.0ms	253×	body	80	valid
5.0ms	30×	body	320	valid
2.0ms	19×	body	160	valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	102	4
4	153	4
5	334	4
6	924	4
7	1912	4
8	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ (sin y) y))
0.2b	(/ (sin y) y)

rewrite12.0ms

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` `expm1-log1p-u` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 65

Calls

2 calls:

7.0ms	(* (cosh x) (/ (sin y) y))
3.0ms	(/ (sin y) y)

series101.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* (cosh x) (/ (sin y) y))
25.0ms	(/ (sin y) y)

simplify41.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	271	408
1	1085	363
2	5001	351

prune172.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))

rewrite35.0ms

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×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cosh-def` `frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 184

Calls

3 calls:

20.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
2.0ms	(/ y (sin y))
5.0ms	(/ 1 (/ y (sin y)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
28.0ms	(/ y (sin y))
25.0ms	(/ 1 (/ y (sin y)))

simplify79.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	628	1345
1	3020	1171
2	5002	1048

prune590.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ (sin y) y))
0.2b	(/ (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` `expm1-log1p-u` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 65

Calls

2 calls:

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

series101.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (cosh x) (/ (sin y) y))
25.0ms	(/ (sin y) y)

simplify43.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	271	408
1	1085	363
2	5001	351

prune160.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
0.1b	(/ 1 (sin y))
0.1b	(/ 1 (* y (/ 1 (sin y))))
0.3b	(* y (/ 1 (sin y)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-exp-log`
44×	`prod-exp`
36×	`div-exp`
34×	`add-sqr-sqrt` `add-cbrt-cube`
26×	`*-un-lft-identity` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
18×	`rec-exp` `1-exp`
12×	`pow1`
10×	`cbrt-undiv` `cbrt-unprod`
6×	`associate-l` `associate-/l*`
4×	`expm1-log1p-u` `associate-r/` `associate-/r` `associate-/r/` `un-div-inv` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
3×	`pow-flip` `pow-prod-down`
2×	`cosh-def` `frac-2neg` `clear-num` `*-commutative` `inv-pow`
1×	`frac-times` `associate-*l/`

Counts

4 → 161

Calls

4 calls:

25.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
2.0ms	(/ 1 (sin y))
11.0ms	(/ 1 (* y (/ 1 (sin y))))
8.0ms	(* y (/ 1 (sin y)))

series138.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
13.0ms	(/ 1 (sin y))
29.0ms	(/ 1 (* y (/ 1 (sin y))))
22.0ms	(* y (/ 1 (sin y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	546	940
1	2442	743
2	5001	687

prune252.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes169.0ms

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	7	4
1	7	4

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.0s	3047×	body	1280	valid
519.0ms	8379×	body	80	valid
513.0ms	2458×	body	640	valid
185.0ms	1261×	body	320	valid
64.0ms	607×	body	160	valid