Details

sample79.0ms

Algorithm

intervals

Results

27.0ms	89×	body	1280	valid
16.0ms	87×	body	640	valid
12.0ms	277×	body	80	valid
7.0ms	48×	body	320	valid
2.0ms	21×	body	160	valid

simplify60.0ms

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: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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:

20.0ms	(* (cosh x) (/ (sin y) y))
8.0ms	(/ (sin y) y)

series98.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* (cosh x) (/ (sin y) y))
24.0ms	(/ (sin y) y)

simplify45.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (39.0ms)

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

prune228.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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)))

rewrite59.0ms

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:

35.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
5.0ms	(/ y (sin y))
11.0ms	(/ 1 (/ y (sin y)))

series119.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
27.0ms	(/ y (sin y))
25.0ms	(/ 1 (/ y (sin y)))

simplify84.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (70.0ms)

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

prune549.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

6.0ms	(/ (cosh x) y)
17.0ms	(* (/ (cosh x) y) (sin y))

series128.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ (cosh x) y)
71.0ms	(* (/ (cosh x) y) (sin y))

simplify39.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	292	401
1	1003	354
2	5001	337

prune238.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

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

rewrite104.0ms

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:

53.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
6.0ms	(/ 1 (sin y))
22.0ms	(/ 1 (* y (/ 1 (sin y))))
16.0ms	(* y (/ 1 (sin y)))

series133.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
13.0ms	(/ 1 (sin y))
24.0ms	(/ 1 (* y (/ 1 (sin y))))
22.0ms	(* y (/ 1 (sin y)))

simplify69.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (58.0ms)

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

prune342.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes176.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.3s

Algorithm

intervals

Results

926.0ms	2985×	body	1280	valid
468.0ms	2470×	body	640	valid
390.0ms	8582×	body	80	valid
174.0ms	1237×	body	320	valid
57.0ms	628×	body	160	valid