Details

sample81.0ms

Algorithm

intervals

Results

20.0ms	66×	body	1280	valid
20.0ms	347×	body	80	valid
17.0ms	84×	body	640	valid
7.0ms	48×	body	320	valid
2.0ms	22×	body	160	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 12.6b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
12.6b	(/ (* (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×	`expm1-log1p-u` `sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `log1p-expm1-u` `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 → 55

Calls

3 calls:

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

series239.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(sinh y)
83.0ms	(* (sin x) (sinh y))
94.0ms	(/ (* (sin x) (sinh y)) x)

simplify42.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	292	340
1	1273	291
2	5001	273

prune137.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 74

Calls

3 calls:

0.0ms	(sinh y)
2.0ms	(/ (sinh y) x)
8.0ms	(* (sin x) (/ (sinh y) x))

series233.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(sinh y)
73.0ms	(/ (sinh y) x)
95.0ms	(* (sin x) (/ (sinh y) x))

simplify51.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	342	450
1	1303	402
2	5001	400

prune180.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(sinh y)
0.5b	(/ (sin x) (/ x (sinh y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 86

Calls

2 calls:

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

series154.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify58.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	453	793
1	1878	752
2	5002	747

prune217.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`expm1-log1p-u` `sinh-def` `associate-r` `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:

0.0ms	(sinh y)
8.0ms	(* (/ (sin x) x) (sinh y))
3.0ms	(/ (sin x) x)

series184.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
93.0ms	(* (/ (sin x) x) (sinh y))
29.0ms	(/ (sin x) x)

simplify39.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	323	445
1	1263	397
2	5001	374

prune178.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes55.0ms

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	11	5
1	11	5

end0.0ms

sample2.2s

Algorithm

intervals

Results

639.0ms	10560×	body	80	valid
590.0ms	1941×	body	1280	valid
401.0ms	1948×	body	640	valid
159.0ms	1087×	body	320	valid
61.0ms	570×	body	160	valid