Details

sample85.0ms

Algorithm

intervals

Results

26.0ms	41×	body	1280	valid
23.0ms	18×	body	2560	valid
11.0ms	33×	body	640	valid
9.0ms	134×	body	80	valid
3.0ms	16×	body	320	valid
2.0ms	14×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.7b

localize17.0ms

Local error

Found 3 expressions with local error:

7.9b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.5b	(sin (/ x (* y 2.0)))
27.6b	(tan (/ x (* y 2.0)))

rewrite14.0ms

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

Counts

3 → 43

Calls

3 calls:

7.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series85.0ms

Counts

3 → 9

Calls

3 calls:

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)))

simplify50.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	138	457
1	421	413
2	1765	413
3	5001	413

prune171.0ms

Filtered

52 candidates to 44 candidates (84.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.7b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune28.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 25.7b

localize14.0ms

Local error

Found 4 expressions with local error:

27.5b	(sin (/ x (* y 2.0)))
27.6b	(tan (/ x (* y 2.0)))
27.6b	(tan (/ x (* y 2.0)))
27.6b	(tan (/ x (* y 2.0)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`tan-quot`

Counts

4 → 31

Calls

4 calls:

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

series123.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sin (/ x (* y 2.0)))
39.0ms	(tan (/ x (* y 2.0)))
36.0ms	(tan (/ x (* y 2.0)))
40.0ms	(tan (/ x (* y 2.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	56	224
1	123	196
2	434	196
3	1952	196
4	5001	196

prune172.0ms

Filtered

43 candidates to 39 candidates (90.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 25.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
7.9b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.5b	(sin (/ x (* y 2.0)))
27.6b	(tan (/ x (* y 2.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `associate-/r` `div-inv` `associate-/l`
2×	`tan-quot` `cbrt-undiv` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `unpow3` `clear-num` `associate-/l/` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

5.0ms	(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)))
1.0ms	(tan (/ x (* y 2.0)))

series138.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
39.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	337	1072
1	1554	977
2	5001	968

prune226.0ms

Filtered

101 candidates to 67 candidates (66.3%)

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 25.6b

regimes286.0ms

Accuracy

0% (2.5b remaining)

Error of 28.3b against oracle of 25.8b and baseline of 28.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample2.6s

Algorithm

intervals

Results

838.0ms	1410×	body	1280	valid
768.0ms	607×	body	2560	valid
346.0ms	1000×	body	640	valid
299.0ms	4125×	body	80	valid
126.0ms	539×	body	320	valid
58.0ms	319×	body	160	valid