Details

sample95.0ms

Algorithm

intervals

Results

30.0ms	47×	body	1280	valid
29.0ms	24×	body	2560	valid
9.0ms	28×	body	640	valid
8.0ms	119×	body	80	valid
6.0ms	25×	body	320	valid
2.0ms	13×	body	160	valid

simplify5.0ms

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: 39.4b

localize10.0ms

Local error

Found 3 expressions with local error:

8.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.8b	(sin (/ x (* y 2.0)))
31.3b	(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` `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:

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

series83.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify55.0ms

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

prune190.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 28.4b

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

14 alts after pruning (13 fresh and 1 done)

Merged error: 28.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
8.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.8b	(sin (/ x (* y 2.0)))
31.3b	(tan (/ x (* y 2.0)))

rewrite15.0ms

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)))

series139.0ms

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)))
37.0ms	(tan (/ x (* y 2.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (42.0ms)

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

prune314.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 28.4b

localize14.0ms

Local error

Found 4 expressions with local error:

8.4b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
30.8b	(sin (/ x (* y 2.0)))
30.8b	(sin (/ x (* y 2.0)))
31.0b	(cos (/ x (* y 2.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `associate-/r/` `sin-cos-mult` `cbrt-unprod` `div-inv`

Counts

4 → 43

Calls

4 calls:

10.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(cos (/ x (* y 2.0)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
10.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
10.0ms	(cos (/ x (* y 2.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	147	493
1	478	347
2	2436	345
3	5001	339

prune167.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 28.4b

regimes462.0ms

Accuracy

35.6% (1.5b remaining)

Error of 27.9b against oracle of 26.3b and baseline of 28.7b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	22
1	22	22

end0.0ms

sample2.7s

Algorithm

intervals

Results

872.0ms	677×	body	2560	valid
837.0ms	1394×	body	1280	valid
346.0ms	980×	body	640	valid
303.0ms	4077×	body	80	valid
135.0ms	569×	body	320	valid
54.0ms	303×	body	160	valid