Details

sample128.0ms

Algorithm

intervals

Results

51.0ms	101×	body	1280	valid
26.0ms	86×	body	640	valid
20.0ms	295×	body	80	valid
7.0ms	32×	body	320	valid
4.0ms	25×	body	160	valid

simplify63.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

9.0ms	(* (cosh x) (/ (sin y) y))
1.0ms	(cosh x)
3.0ms	(/ (sin y) y)

series156.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(* (cosh x) (/ (sin y) y))
51.0ms	(cosh x)
26.0ms	(/ (sin y) y)

simplify41.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	303	450
1	1150	402
2	5002	380

prune227.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (/ (sin y) 1/2) (cosh x))
0.1b	(/ (* (/ (sin y) 1/2) (cosh x)) (* 2 y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

0.0ms	(cosh x)
9.0ms	(* (/ (sin y) 1/2) (cosh x))
7.0ms	(/ (* (/ (sin y) 1/2) (cosh x)) (* 2 y))

series203.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(cosh x)
74.0ms	(* (/ (sin y) 1/2) (cosh x))
84.0ms	(/ (* (/ (sin y) 1/2) (cosh x)) (* 2 y))

simplify76.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	451	571
1	2819	437
2	5002	414

prune224.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (/ (sin y) 1/2) (cosh x))
0.3b	(* (* (/ (sin y) 1/2) (cosh x)) (/ 1/2 y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log` `add-cbrt-cube`
23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
14×	`associate-l`
12×	`prod-exp` `cbrt-unprod`
10×	`pow1`
7×	`cosh-def`
6×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/`
4×	`associate-*r/` `pow-prod-down`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`

Counts

3 → 91

Calls

3 calls:

0.0ms	(cosh x)
10.0ms	(* (/ (sin y) 1/2) (cosh x))
19.0ms	(* (* (/ (sin y) 1/2) (cosh x)) (/ 1/2 y))

series220.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(cosh x)
81.0ms	(* (/ (sin y) 1/2) (cosh x))
88.0ms	(* (* (/ (sin y) 1/2) (cosh x)) (/ 1/2 y))

simplify92.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	524	698
1	3096	590
2	5003	587

prune247.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh x)
0.0b	(* (/ (sin y) 1/2) (cosh x))
0.1b	(/ (* 2 y) (* (/ (sin y) 1/2) (cosh x)))
0.4b	(/ 1 (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

103×	`add-exp-log`
59×	`add-cbrt-cube`
47×	`div-exp`
39×	`times-frac`
30×	`add-sqr-sqrt` `prod-exp`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`cbrt-undiv`
16×	`associate-/r/` `cbrt-unprod`
13×	`cosh-def` `associate-l`
9×	`associate-/r*`
7×	`pow1` `rec-exp` `1-exp` `div-inv`
6×	`frac-times` `associate-r/` `associate-l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`associate-r`
2×	`frac-2neg` `clear-num` `unswap-sqr`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 154

Calls

4 calls:

0.0ms	(cosh x)
9.0ms	(* (/ (sin y) 1/2) (cosh x))
11.0ms	(/ (* 2 y) (* (/ (sin y) 1/2) (cosh x)))
15.0ms	(/ 1 (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x))))

series349.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(cosh x)
77.0ms	(* (/ (sin y) 1/2) (cosh x))
135.0ms	(/ (* 2 y) (* (/ (sin y) 1/2) (cosh x)))
86.0ms	(/ 1 (/ (* 2 y) (* (/ (sin y) 1/2) (cosh x))))

simplify130.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	692	1417
1	4492	1076
2	5002	1024

prune334.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

sample2.7s

Algorithm

intervals

Results

973.0ms	2913×	body	1280	valid
620.0ms	8548×	body	80	valid
521.0ms	2471×	body	640	valid
188.0ms	1253×	body	320	valid
56.0ms	575×	body	160	valid