Details

sample92.0ms

Algorithm

intervals

Results

25.0ms	19×	body	2560	valid
21.0ms	35×	body	1280	valid
16.0ms	146×	body	80	valid
11.0ms	29×	body	640	valid
5.0ms	18×	body	320	valid
2.0ms	9×	body	160	valid

simplify6.0ms

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: 31.9b

localize9.0ms

Local error

Found 3 expressions with local error:

7.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
24.3b	(sin (/ x (* y 2.0)))
24.5b	(tan (/ x (* y 2.0)))

rewrite20.0ms

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:

11.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series98.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
13.0ms	(sin (/ x (* y 2.0)))
38.0ms	(tan (/ x (* y 2.0)))

simplify71.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (7.0ms)

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

prune263.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 22.5b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify4.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune35.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 22.5b

localize10.0ms

Local error

Found 4 expressions with local error:

7.7b	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
24.0b	(cos (/ x (* y 2.0)))
24.3b	(sin (/ x (* y 2.0)))
24.3b	(sin (/ x (* y 2.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
46×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 91

Calls

4 calls:

30.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
5.0ms	(cos (/ x (* y 2.0)))
7.0ms	(sin (/ x (* y 2.0)))
5.0ms	(sin (/ x (* y 2.0)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
15.0ms	(cos (/ x (* y 2.0)))
10.0ms	(sin (/ x (* y 2.0)))
10.0ms	(sin (/ x (* y 2.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	351	1606
1	1470	1336
2	5001	1259

prune296.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 22.4b

localize14.0ms

Local error

Found 4 expressions with local error:

7.7b	(/ (/ (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0))))
24.0b	(cos (/ x (* y 2.0)))
24.3b	(sin (/ x (* y 2.0)))
24.3b	(sin (/ x (* y 2.0)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
86×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
48×	`log-pow`
36×	`exp-prod`
25×	`associate-/l*`
16×	`pow1`
9×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 139

Calls

4 calls:

38.0ms	(/ (/ (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0))))
5.0ms	(cos (/ x (* y 2.0)))
5.0ms	(sin (/ x (* y 2.0)))
5.0ms	(sin (/ x (* y 2.0)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (/ (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0))))
12.0ms	(cos (/ x (* y 2.0)))
10.0ms	(sin (/ x (* y 2.0)))
10.0ms	(sin (/ x (* y 2.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	554	2827
1	2113	2265
2	5001	2205

prune354.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 22.4b

regimes485.0ms

Accuracy

40.3% (1.4b remaining)

Error of 27.3b against oracle of 25.9b and baseline of 28.3b

bsearch7.0ms

Steps

Iters	Range		Point
4	21.37040012626099	32.576010825246556	31.946830247424455

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	33
1	17	33

end0.0ms

sample2.7s

Algorithm

intervals

Results

812.0ms	1363×	body	1280	valid
797.0ms	627×	body	2560	valid
353.0ms	1009×	body	640	valid
317.0ms	4123×	body	80	valid
143.0ms	576×	body	320	valid
53.0ms	302×	body	160	valid