Details

sample80.0ms

Algorithm

intervals

Results

27.0ms	53×	body	1280	valid
18.0ms	19×	body	2560	valid
10.0ms	33×	body	640	valid
9.0ms	123×	body	80	valid
5.0ms	21×	body	320	valid
1.0ms	7×	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (* y 2.0))
8.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.8b	(sin (/ x (* y 2.0)))
30.9b	(tan (/ x (* y 2.0)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `associate-/r*` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`tan-quot` `frac-2neg` `clear-num` `div-inv`
1×	`prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 64

Calls

4 calls:

3.0ms	(/ x (* y 2.0))
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)))

series120.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ x (* y 2.0))
50.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
44.0ms	(tan (/ x (* y 2.0)))

simplify137.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	229	540
1	840	484
2	4370	484
3	5002	484

prune250.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 27.4b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune54.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 27.4b

localize12.0ms

Local error

Found 4 expressions with local error:

8.6b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
29.8b	(sin (/ x (* y 2.0)))
29.8b	(sin (/ x (* y 2.0)))
30.3b	(cos (/ x (* y 2.0)))

rewrite19.0ms

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:

12.0ms	(/ (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)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
8.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
12.0ms	(cos (/ x (* y 2.0)))

simplify81.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (76.0ms)

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

prune194.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 27.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (pow (/ 1 (cos (/ x (* y 2.0)))) 3))
0.2b	(/ x (* y 2.0))
0.4b	(pow (/ 1 (cos (/ x (* y 2.0)))) 3)
30.3b	(cos (/ x (* y 2.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`cbrt-prod`
26×	`unpow-prod-down` `cube-prod`
14×	`add-exp-log`
12×	`add-cbrt-cube`
6×	`pow1`
5×	`div-inv`
4×	`div-exp` `pow-exp` `add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `pow-pow` `associate-/l*`
2×	`cube-div` `cube-mult` `unpow3` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `rec-exp` `cbrt-div` `pow-flip` `frac-2neg` `pow1/3` `1-exp` `prod-exp` `clear-num` `associate-/r*` `rem-cbrt-cube` `cbrt-unprod` `inv-pow`

Counts

4 → 120

Calls

4 calls:

4.0ms	(cbrt (pow (/ 1 (cos (/ x (* y 2.0)))) 3))
3.0ms	(/ x (* y 2.0))
4.0ms	(pow (/ 1 (cos (/ x (* y 2.0)))) 3)
2.0ms	(cos (/ x (* y 2.0)))

series95.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt (pow (/ 1 (cos (/ x (* y 2.0)))) 3))
18.0ms	(/ x (* y 2.0))
41.0ms	(pow (/ 1 (cos (/ x (* y 2.0)))) 3)
11.0ms	(cos (/ x (* y 2.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	416	937
1	1683	815
2	5001	809

prune202.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 26.9b

regimes518.0ms

Accuracy

0% (3.6b remaining)

Error of 29.0b against oracle of 25.4b and baseline of 29.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample2.4s

Algorithm

intervals

Results

708.0ms	1399×	body	1280	valid
647.0ms	643×	body	2560	valid
337.0ms	1039×	body	640	valid
302.0ms	4033×	body	80	valid
142.0ms	586×	body	320	valid
53.0ms	300×	body	160	valid