Details

sample69.0ms

Algorithm

intervals

Results

19.0ms	362×	body	80	valid
16.0ms	46×	body	1280	valid
13.0ms	58×	body	640	valid
4.0ms	27×	body	320	valid
3.0ms	22×	body	160	valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	32	4
2	68	4
3	144	4
4	278	4
5	517	4
6	1455	4
7	5002	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
15.4b	(/ (* (sin x) (sinh y)) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
3×	`sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

0.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
4.0ms	(/ (* (sin x) (sinh y)) x)

series255.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(sinh y)
109.0ms	(* (sin x) (sinh y))
90.0ms	(/ (* (sin x) (sinh y)) x)

simplify40.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	280	320
1	1233	272
2	5001	255

prune131.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `sinh-def` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

2 → 40

Calls

2 calls:

0.0ms	(sinh y)
8.0ms	(* (sin x) (/ (sinh y) x))

series148.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(sinh y)
89.0ms	(* (sin x) (/ (sinh y) x))

simplify35.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	271	276
1	1124	241
2	5001	232

prune102.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.9b	(/ (sin x) (/ x (sinh y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 110

Calls

3 calls:

0.0ms	(sinh y)
2.0ms	(/ x (sinh y))
6.0ms	(/ (sin x) (/ x (sinh y)))

series260.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(sinh y)
104.0ms	(/ x (sinh y))
93.0ms	(/ (sin x) (/ x (sinh y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	475	938
1	1984	886
2	5001	865

prune290.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(/ 1 (/ (sinh y) x))
0.9b	(/ (sin x) (/ 1 (/ (sinh y) x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

471×	`times-frac`
230×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
57×	`associate-/r*`
33×	`add-exp-log`
22×	`div-inv`
21×	`div-exp`
17×	`add-cbrt-cube`
9×	`cbrt-undiv`
6×	`associate-/r/` `associate-/l*`
4×	`pow1` `rec-exp` `1-exp`
3×	`add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`sinh-def` `pow-flip` `inv-pow`

Counts

3 → 284

Calls

3 calls:

0.0ms	(sinh y)
5.0ms	(/ 1 (/ (sinh y) x))
13.0ms	(/ (sin x) (/ 1 (/ (sinh y) x)))

series240.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
86.0ms	(/ 1 (/ (sinh y) x))
93.0ms	(/ (sin x) (/ 1 (/ (sinh y) x)))

simplify54.0ms

Algorithm

egg-herbie

Counts

293 → 293

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1134	3188
1	5001	2818

prune576.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.2b 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

sample2.2s

Algorithm

intervals

Results

627.0ms	1871×	body	1280	valid
562.0ms	10369×	body	80	valid
453.0ms	1942×	body	640	valid
182.0ms	1084×	body	320	valid
68.0ms	581×	body	160	valid