Details

sample82.0ms

Algorithm

intervals

Results

31.0ms	82×	body	1280	valid
16.0ms	75×	body	640	valid
14.0ms	250×	body	80	valid
5.0ms	33×	body	320	valid
2.0ms	20×	body	160	valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	23	7
1	60	7
2	112	7
3	236	7
4	520	6
5	702	6
6	1514	6
7	2284	6
8	5001	6

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 0.5 (exp im) (/ 0.5 (exp im)))
0.0b	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
0.0b	(/ 0.5 (exp im))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1`
3×	`expm1-log1p-u` `associate-r` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

0.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))
3.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
3.0ms	(/ 0.5 (exp im))

series139.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))
74.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
13.0ms	(/ 0.5 (exp im))

simplify127.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	215	417
1	712	366
2	4318	366
3	5001	364

prune175.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))
0.0b	(/ 0.5 (exp im))
0.0b	(/ 0.5 (exp im))
0.0b	(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
13×	`add-cbrt-cube`
11×	`add-exp-log`
10×	`pow1`
6×	`associate-l` `associate-/r` `sqrt-prod` `associate-/l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r` `*-commutative`

Counts

4 → 96

Calls

4 calls:

1.0ms	(sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))
3.0ms	(/ 0.5 (exp im))
3.0ms	(/ 0.5 (exp im))
12.0ms	(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))
19.0ms	(/ 0.5 (exp im))
14.0ms	(/ 0.5 (exp im))
71.0ms	(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))

simplify116.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	262	745
1	821	634
2	3657	633
3	5001	627

prune337.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	3017×	body	1280	valid
537.0ms	2403×	body	640	valid
376.0ms	8547×	body	80	valid
181.0ms	1252×	body	320	valid
59.0ms	626×	body	160	valid