Details

sample98.0ms

Algorithm

intervals

Results

38.0ms	114×	body	1280	valid
18.0ms	88×	body	640	valid
17.0ms	264×	body	80	valid
8.0ms	55×	body	320	valid
2.0ms	15×	body	160	valid

simplify59.0ms

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)

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)

series113.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(* (cosh x) (/ (sin y) y))
33.0ms	(/ (sin y) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (33.0ms)

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

prune163.0ms

Pruning

6 alts after pruning (6 fresh and 0 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))
0.2b	(/ 1 (/ y (sin y)))

rewrite38.0ms

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:

22.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
2.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
22.0ms	(/ y (sin y))
31.0ms	(/ 1 (/ y (sin y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (65.0ms)

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

prune383.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
16×	`associate-r` `add-cbrt-cube`
13×	`add-sqr-sqrt` `prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `times-frac`
7×	`cbrt-unprod`
4×	`div-exp` `associate-l` `pow-prod-down` `associate-*l/`
3×	`cosh-def`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

4.0ms	(* (cosh x) (sin y))
13.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series157.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (cosh x) (sin y))
82.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify49.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	380	448
1	1782	365
2	5001	332

prune139.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cosh x) (sin y))
0.2b	(expm1 (log1p (* (cosh x) (sin y))))
0.3b	(* (expm1 (log1p (* (cosh x) (sin y)))) (/ 1 y))
0.3b	(log1p (* (cosh x) (sin y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
16×	`associate-r`
15×	`add-exp-log` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`times-frac` `add-cbrt-cube`
8×	`pow1`
6×	`associate-l`
5×	`expm1-log1p-u` `prod-exp`
4×	`log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-unprod`
2×	`div-exp` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `rec-exp` `log1p-udef` `expm1-log1p` `cosh-def` `1-exp` `log1p-expm1` `associate-r/` `associate-l/` `un-div-inv` `div-inv` `expm1-udef`

Counts

4 → 81

Calls

4 calls:

4.0ms	(* (cosh x) (sin y))
0.0ms	(expm1 (log1p (* (cosh x) (sin y))))
8.0ms	(* (expm1 (log1p (* (cosh x) (sin y)))) (/ 1 y))
0.0ms	(log1p (* (cosh x) (sin y)))

series411.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (cosh x) (sin y))
114.0ms	(expm1 (log1p (* (cosh x) (sin y))))
117.0ms	(* (expm1 (log1p (* (cosh x) (sin y)))) (/ 1 y))
106.0ms	(log1p (* (cosh x) (sin y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	372	651
1	1476	531
2	5001	506

prune223.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes85.0ms

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

986.0ms	2981×	body	1280	valid
563.0ms	8289×	body	80	valid
518.0ms	2461×	body	640	valid
191.0ms	1268×	body	320	valid
69.0ms	625×	body	160	valid