Details

sample103.0ms

Algorithm

intervals

Results

26.0ms	37×	body	1280	valid
26.0ms	18×	body	2560	valid
17.0ms	148×	body	80	valid
13.0ms	29×	body	640	valid
3.0ms	14×	body	160	valid
3.0ms	10×	body	320	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.9b

localize10.0ms

Local error

Found 3 expressions with local error:

7.0b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
24.7b	(sin (/ x (* y 2.0)))
25.5b	(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)))
2.0ms	(tan (/ x (* y 2.0)))

series112.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
55.0ms	(tan (/ x (* y 2.0)))

simplify67.0ms

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

prune493.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 22.8b

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

13 alts after pruning (12 fresh and 1 done)

Merged error: 22.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(log1p (expm1 (tan (/ x (* y 2.0)))))
7.0b	(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
24.7b	(sin (/ x (* y 2.0)))
25.5b	(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`
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)))))
4.0ms	(/ (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)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(log1p (expm1 (tan (/ x (* y 2.0)))))
130.0ms	(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
11.0ms	(sin (/ x (* y 2.0)))
52.0ms	(tan (/ x (* y 2.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (67.0ms)

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

prune272.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 22.8b

localize19.0ms

Local error

Found 4 expressions with local error:

1.1b	(log1p (expm1 (/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))))
7.0b	(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
24.7b	(sin (/ x (* y 2.0)))
25.5b	(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`
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 (/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ 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)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(log1p (expm1 (/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))))
128.0ms	(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
52.0ms	(tan (/ x (* y 2.0)))

simplify74.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	165	683
1	432	601
2	1768	587
3	5001	581

prune282.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 22.8b

regimes235.0ms

Accuracy

0% (2.4b remaining)

Error of 29.1b against oracle of 26.7b and baseline of 29.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.1s	1439×	body	1280	valid
936.0ms	642×	body	2560	valid
471.0ms	1035×	body	640	valid
447.0ms	4010×	body	80	valid
194.0ms	562×	body	320	valid
81.0ms	312×	body	160	valid