Details

sample64.0ms

Algorithm

intervals

Results

17.0ms	63×	body	1280	valid
13.0ms	338×	body	80	valid
11.0ms	65×	body	640	valid
4.0ms	32×	body	320	valid
2.0ms	24×	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	146	4
4	292	4
5	556	4
6	1543	4
7	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sin x) (sinh y))
14.5b	(/ (* (sin x) (sinh y)) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

11.0ms	(* (sin x) (sinh y))
13.0ms	(/ (* (sin x) (sinh y)) x)

series199.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(* (sin x) (sinh y))
122.0ms	(/ (* (sin x) (sinh y)) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	271	298
1	1234	252
2	5001	234

prune109.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.4b	(* (sin x) (/ (sinh y) x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

20.0ms

(* (sin x) (/ (sinh y) x))

series88.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

(* (sin x) (/ (sinh y) x))

simplify35.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	252	246
1	1101	213
2	5001	204

prune75.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

1.0b	(/ (sin x) (/ x (sinh y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
44×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`associate-/r*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r/` `div-inv`
4×	`sinh-def`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
1×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

1 → 76

Calls

1 calls:

13.0ms

(/ (sin x) (/ x (sinh y)))

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

(/ (sin x) (/ x (sinh y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	427	751
1	1827	710
2	5001	702

prune193.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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` `sinh-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:

18.0ms	(* (/ (sin x) x) (sinh y))
8.0ms	(/ (sin x) x)

series116.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(* (/ (sin x) x) (sinh y))
30.0ms	(/ (sin x) x)

simplify36.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	298	403
1	1214	358
2	5001	345

prune146.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b 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

sample2.0s

Algorithm

intervals

Results

549.0ms	1827×	body	1280	valid
432.0ms	10400×	body	80	valid
392.0ms	2026×	body	640	valid
157.0ms	1101×	body	320	valid
56.0ms	619×	body	160	valid