Details

sample88.0ms

Algorithm

intervals

Results

32.0ms	25×	body	2560	valid
22.0ms	38×	body	1280	valid
10.0ms	30×	body	640	valid
10.0ms	140×	body	80	valid
3.0ms	14×	body	320	valid
2.0ms	9×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.8b

localize10.0ms

Local error

Found 3 expressions with local error:

8.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.3b	(sin (/ x (* y 2.0)))
26.6b	(tan (/ x (* y 2.0)))

rewrite8.0ms

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)))

series87.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
42.0ms	(tan (/ x (* y 2.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (6.0ms)

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

prune198.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 24.5b

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

prune35.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 24.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.8b	(log1p (expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))))
8.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.3b	(sin (/ x (* y 2.0)))
26.6b	(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`
2×	`tan-quot`
1×	`cbrt-undiv` `log1p-udef` `frac-2neg` `log1p-expm1` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

4 → 60

Calls

4 calls:

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

series173.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(log1p (expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))))
35.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
39.0ms	(tan (/ x (* y 2.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	159	598
1	450	539
2	1808	539
3	5001	539

prune248.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 24.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.8b	(log1p (expm1 (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3))))
8.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.3b	(sin (/ x (* y 2.0)))
26.6b	(tan (/ x (* y 2.0)))

rewrite9.0ms

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`
2×	`tan-quot`
1×	`cbrt-undiv` `log1p-udef` `frac-2neg` `log1p-expm1` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

4 → 60

Calls

4 calls:

0.0ms	(log1p (expm1 (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3))))
4.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(log1p (expm1 (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3))))
40.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
36.0ms	(tan (/ x (* y 2.0)))

simplify64.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	167	570
1	468	539
2	1891	539
3	5003	539

prune245.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 24.5b

regimes356.0ms

Accuracy

37.5% (1.6b remaining)

Error of 27.8b against oracle of 26.2b and baseline of 28.7b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	16
1	16	16

end0.0ms

sample2.6s

Algorithm

intervals

Results

804.0ms	1374×	body	1280	valid
791.0ms	626×	body	2560	valid
375.0ms	1059×	body	640	valid
282.0ms	4078×	body	80	valid
124.0ms	529×	body	320	valid
63.0ms	334×	body	160	valid