Details

sample91.0ms

Algorithm

intervals

Results

25.0ms	43×	body	1280	valid
23.0ms	17×	body	2560	valid
16.0ms	38×	body	640	valid
9.0ms	129×	body	80	valid
5.0ms	20×	body	320	valid
2.0ms	9×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 35.4b

localize10.0ms

Local error

Found 3 expressions with local error:

6.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.0b	(sin (/ x (* y 2.0)))
29.2b	(tan (/ x (* y 2.0)))

rewrite21.0ms

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:

11.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
4.0ms	(tan (/ x (* y 2.0)))

series96.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
44.0ms	(tan (/ x (* y 2.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (5.0ms)

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

prune193.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 26.6b

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

prune36.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 26.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(log1p (expm1 (sin (/ x (* y 2.0)))))
6.5b	(/ (tan (/ x (* y 2.0))) (log1p (expm1 (sin (/ x (* y 2.0))))))
29.0b	(sin (/ x (* y 2.0)))
29.2b	(tan (/ x (* y 2.0)))

rewrite18.0ms

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 (sin (/ x (* y 2.0)))))
8.0ms	(/ (tan (/ x (* y 2.0))) (log1p (expm1 (sin (/ x (* y 2.0))))))
5.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series189.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(log1p (expm1 (sin (/ x (* y 2.0)))))
98.0ms	(/ (tan (/ x (* y 2.0))) (log1p (expm1 (sin (/ x (* y 2.0))))))
10.0ms	(sin (/ x (* y 2.0)))
43.0ms	(tan (/ x (* y 2.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	159	622
1	448	532
2	1814	519
3	5001	513

prune219.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 26.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
6.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.0b	(sin (/ x (* y 2.0)))
29.2b	(tan (/ x (* y 2.0)))

rewrite21.0ms

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

Counts

4 → 60

Calls

4 calls:

0.0ms	(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
11.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series180.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
43.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
45.0ms	(tan (/ x (* y 2.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	178	614
1	530	553
2	2057	551
3	5001	551

prune211.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 26.6b

regimes302.0ms

Accuracy

0% (2.5b remaining)

Error of 28.4b against oracle of 25.9b and baseline of 28.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample2.7s

Algorithm

intervals

Results

857.0ms	666×	body	2560	valid
795.0ms	1354×	body	1280	valid
357.0ms	1003×	body	640	valid
292.0ms	4135×	body	80	valid
129.0ms	537×	body	320	valid
56.0ms	305×	body	160	valid