Details

sample90.0ms

Algorithm

intervals

Results

25.0ms	43×	body	1280	valid
22.0ms	17×	body	2560	valid
13.0ms	38×	body	640	valid
12.0ms	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)))

rewrite22.0ms

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:

12.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

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)))

simplify54.0ms

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

prune203.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune38.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 26.6b

localize12.0ms

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)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(log1p (expm1 (sin (/ x (* y 2.0)))))
96.0ms	(/ (tan (/ x (* y 2.0))) (log1p (expm1 (sin (/ x (* y 2.0))))))
10.0ms	(sin (/ x (* y 2.0)))
42.0ms	(tan (/ x (* y 2.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (49.0ms)

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

prune233.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 26.6b

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b	(expm1 (/ (tan (/ x (* y 2.0))) (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`
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))) (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)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(expm1 (/ (tan (/ x (* y 2.0))) (log1p (expm1 (sin (/ x (* y 2.0)))))))
94.0ms	(/ (tan (/ x (* y 2.0))) (log1p (expm1 (sin (/ x (* y 2.0))))))
10.0ms	(sin (/ x (* y 2.0)))
42.0ms	(tan (/ x (* y 2.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	186	720
1	538	614
2	2073	599
3	5001	587

prune254.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 26.6b

regimes265.0ms

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
808.0ms	1354×	body	1280	valid
352.0ms	1003×	body	640	valid
290.0ms	4135×	body	80	valid
127.0ms	537×	body	320	valid
54.0ms	305×	body	160	valid