Details

sample105.0ms

Algorithm

intervals

Results

32.0ms	46×	body	1280	valid
25.0ms	19×	body	2560	valid
15.0ms	133×	body	80	valid
13.0ms	30×	body	640	valid
5.0ms	16×	body	320	valid
3.0ms	12×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	7
1	13	7
2	13	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.3b

localize11.0ms

Local error

Found 3 expressions with local error:

6.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.7b	(sin (/ x (* y 2.0)))
28.0b	(tan (/ x (* y 2.0)))

rewrite9.0ms

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`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 49

Calls

3 calls:

4.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))

series96.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms	(sin (/ x (* y 2.0)))
49.0ms	(tan (/ x (* y 2.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	146	485
1	433	441
2	1789	441
3	5001	441

prune216.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.2b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune33.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 25.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(log1p (expm1 (tan (/ x (* y 2.0)))))
6.7b	(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
27.7b	(sin (/ x (* y 2.0)))
28.0b	(tan (/ x (* y 2.0)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

0.0ms	(log1p (expm1 (tan (/ x (* y 2.0)))))
3.0ms	(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(log1p (expm1 (tan (/ x (* y 2.0)))))
110.0ms	(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
9.0ms	(sin (/ x (* y 2.0)))
41.0ms	(tan (/ x (* y 2.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	157	605
1	415	531
2	1749	518
3	5001	512

prune272.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 25.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b	(expm1 (/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))
6.7b	(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
27.7b	(sin (/ x (* y 2.0)))
28.0b	(tan (/ x (* y 2.0)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

0.0ms	(expm1 (/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))
8.0ms	(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(expm1 (/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0)))))
116.0ms	(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
11.0ms	(sin (/ x (* y 2.0)))
45.0ms	(tan (/ x (* y 2.0)))

simplify74.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	184	703
1	510	614
2	2015	599
3	5002	589

prune285.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 25.2b

regimes341.0ms

Accuracy

0% (2.4b remaining)

Error of 27.9b against oracle of 25.6b and baseline of 27.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample3.3s

Algorithm

intervals

Results

952.0ms	1297×	body	1280	valid
942.0ms	658×	body	2560	valid
484.0ms	4180×	body	80	valid
448.0ms	1000×	body	640	valid
179.0ms	572×	body	320	valid
77.0ms	293×	body	160	valid