Details

sample69.0ms

Algorithm

intervals

Results

22.0ms	52×	body	1280	valid
18.0ms	20×	body	2560	valid
8.0ms	138×	body	80	valid
7.0ms	26×	body	640	valid
3.0ms	16×	body	320	valid
1.0ms	4×	body	160	valid

simplify6.0ms

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: 34.4b

localize11.0ms

Local error

Found 3 expressions with local error:

7.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.1b	(sin (/ x (* y 2.0)))
27.4b	(tan (/ x (* y 2.0)))

rewrite11.0ms

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

series85.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
40.0ms	(tan (/ x (* y 2.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

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

prune171.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 24.5b

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

prune33.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 24.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
7.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.1b	(sin (/ x (* y 2.0)))
27.4b	(tan (/ x (* y 2.0)))

rewrite18.0ms

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:

6.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
5.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series136.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
37.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
34.0ms	(tan (/ x (* y 2.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (40.0ms)

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

prune285.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 24.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3) 3)
7.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.1b	(sin (/ x (* y 2.0)))
27.4b	(tan (/ x (* y 2.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

10.0ms	(pow (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3) 3)
6.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(pow (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3) 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)))

simplify102.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	523	1810
1	2640	1701
2	5001	1618

prune300.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 24.5b

regimes415.0ms

Accuracy

41.4% (1.4b remaining)

Error of 27.4b against oracle of 26.0b and baseline of 28.4b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	36
1	21	36

end0.0ms

sample2.0s

Algorithm

intervals

Results

622.0ms	1425×	body	1280	valid
575.0ms	641×	body	2560	valid
263.0ms	948×	body	640	valid
246.0ms	4111×	body	80	valid
109.0ms	557×	body	320	valid
47.0ms	318×	body	160	valid