Details

sample125.0ms

Algorithm

intervals

Results

35.0ms	96×	body	1280	valid
20.0ms	89×	body	640	valid
13.0ms	258×	body	80	valid
5.0ms	31×	body	320	valid
2.0ms	20×	body	160	valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	139	4
4	271	4
5	520	4
6	1491	4
7	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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

Counts

2 → 44

Calls

2 calls:

1.0ms	(sinh y)
7.0ms	(* (sin x) (/ (sinh y) y))

series161.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(sinh y)
99.0ms	(* (sin x) (/ (sinh y) y))

simplify38.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	286	287
1	1185	252
2	5001	243

prune110.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/120 (pow y 5) y)
0.0b	(/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 39

Calls

2 calls:

1.0ms	(fma 1/120 (pow y 5) y)
3.0ms	(/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y)

series196.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(fma 1/120 (pow y 5) y)
79.0ms	(/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y)

simplify71.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	136	320
1	439	294
2	2174	294
3	5001	294

prune149.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (fma 1/6 (pow y 3) (expm1 (log1p (fma 1/120 (pow y 5) y)))) y)
0.0b	(fma 1/120 (pow y 5) y)
0.0b	(expm1 (log1p (fma 1/120 (pow y 5) y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
1×	`cbrt-undiv` `expm1-log1p` `frac-2neg` `div-exp` `clear-num` `fma-udef` `div-inv` `expm1-udef`

Counts

3 → 50

Calls

3 calls:

3.0ms	(/ (fma 1/6 (pow y 3) (expm1 (log1p (fma 1/120 (pow y 5) y)))) y)
1.0ms	(fma 1/120 (pow y 5) y)
1.0ms	(expm1 (log1p (fma 1/120 (pow y 5) y)))

series1.2s

Counts

3 → 9

Calls

3 calls:

266.0ms	(/ (fma 1/6 (pow y 3) (expm1 (log1p (fma 1/120 (pow y 5) y)))) y)
108.0ms	(fma 1/120 (pow y 5) y)
832.0ms	(expm1 (log1p (fma 1/120 (pow y 5) y)))

simplify107.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	246	530
1	752	485
2	3458	449
3	5001	445

prune258.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1/120 (pow y 5) y)
0.0b	(log1p (/ (fma 1/6 (pow y 3) (expm1 (log1p (fma 1/120 (pow y 5) y)))) y))
0.0b	(expm1 (log1p (fma 1/120 (pow y 5) y)))
0.0b	(expm1 (log1p (/ (fma 1/6 (pow y 3) (expm1 (log1p (fma 1/120 (pow y 5) y)))) y)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`expm1-log1p-u`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`expm1-log1p` `expm1-udef`
1×	`log1p-udef` `log1p-expm1` `fma-udef`

Counts

4 → 43

Calls

4 calls:

1.0ms	(fma 1/120 (pow y 5) y)
1.0ms	(log1p (/ (fma 1/6 (pow y 3) (expm1 (log1p (fma 1/120 (pow y 5) y)))) y))
1.0ms	(expm1 (log1p (fma 1/120 (pow y 5) y)))
1.0ms	(expm1 (log1p (/ (fma 1/6 (pow y 3) (expm1 (log1p (fma 1/120 (pow y 5) y)))) y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

111.0ms	(fma 1/120 (pow y 5) y)
159.0ms	(log1p (/ (fma 1/6 (pow y 3) (expm1 (log1p (fma 1/120 (pow y 5) y)))) y))
842.0ms	(expm1 (log1p (fma 1/120 (pow y 5) y)))
192.0ms	(expm1 (log1p (/ (fma 1/6 (pow y 3) (expm1 (log1p (fma 1/120 (pow y 5) y)))) y)))

simplify38.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	331	515
1	1215	448
2	5001	409

prune242.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes116.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.3s

Algorithm

intervals

Results

892.0ms	3040×	body	1280	valid
456.0ms	2521×	body	640	valid
370.0ms	8609×	body	80	valid
161.0ms	1284×	body	320	valid
62.0ms	656×	body	160	valid