Details

sample91.0ms

Algorithm

intervals

Results

33.0ms	26×	body	2560	valid
21.0ms	37×	body	1280	valid
11.0ms	32×	body	640	valid
10.0ms	134×	body	80	valid
4.0ms	18×	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: 34.9b

localize10.0ms

Local error

Found 3 expressions with local error:

6.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.2b	(sin (/ x (* y 2.0)))
28.3b	(tan (/ x (* y 2.0)))

rewrite24.0ms

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:

15.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series76.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
7.0ms	(sin (/ x (* y 2.0)))
33.0ms	(tan (/ x (* y 2.0)))

simplify49.0ms

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

prune195.0ms

Pruning

16 alts after pruning (16 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

prune33.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 25.7b

localize11.0ms

Local error

Found 4 expressions with local error:

6.7b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
28.1b	(cos (/ x (* y 2.0)))
28.2b	(sin (/ x (* y 2.0)))
28.2b	(sin (/ x (* y 2.0)))

rewrite43.0ms

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:

29.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
5.0ms	(cos (/ x (* y 2.0)))
4.0ms	(sin (/ x (* y 2.0)))
5.0ms	(sin (/ x (* y 2.0)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
9.0ms	(cos (/ x (* y 2.0)))
7.0ms	(sin (/ x (* y 2.0)))
7.0ms	(sin (/ 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

prune165.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 25.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 2 (cos (/ x (* y 2.0))))
0.3b	(log (pow (exp (/ 2 (cos (/ x (* y 2.0))))) 1/2))
0.5b	(exp (/ 2 (cos (/ x (* y 2.0)))))
28.1b	(cos (/ x (* y 2.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
13×	`exp-prod`
7×	`add-exp-log` `log-prod`
6×	`add-cbrt-cube`
5×	`add-log-exp`
4×	`pow1`
3×	`unpow-prod-down` `rem-log-exp` `associate-/r` `associate-/l`
2×	`div-inv`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `div-exp` `pow-exp` `clear-num` `log-pow` `rem-exp-log` `sqr-pow`

Counts

4 → 73

Calls

4 calls:

5.0ms	(/ 2 (cos (/ x (* y 2.0))))
7.0ms	(log (pow (exp (/ 2 (cos (/ x (* y 2.0))))) 1/2))
9.0ms	(exp (/ 2 (cos (/ x (* y 2.0)))))
5.0ms	(cos (/ x (* y 2.0)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ 2 (cos (/ x (* y 2.0))))
87.0ms	(log (pow (exp (/ 2 (cos (/ x (* y 2.0))))) 1/2))
43.0ms	(exp (/ 2 (cos (/ x (* y 2.0)))))
11.0ms	(cos (/ x (* y 2.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	211	635
1	649	548
2	2346	537
3	5001	536

prune278.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 25.6b

regimes339.0ms

Accuracy

0% (2.4b remaining)

Error of 28.5b against oracle of 26.1b and baseline of 28.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample2.8s

Algorithm

intervals

Results

860.0ms	1378×	body	1280	valid
822.0ms	633×	body	2560	valid
360.0ms	1015×	body	640	valid
307.0ms	4089×	body	80	valid
142.0ms	577×	body	320	valid
64.0ms	308×	body	160	valid