Details

sample74.0ms

Algorithm

intervals

Results

29.0ms	60×	body	1280	valid
11.0ms	249×	body	80	valid
10.0ms	41×	body	640	valid
4.0ms	110×	body	80	overflowed
4.0ms	26×	body	320	valid
2.0ms	15×	body	160	valid

simplify91.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

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	(/ 0.5 (exp im))
4.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))

series122.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))
16.0ms	(/ 0.5 (exp im))
65.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))

simplify120.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	215	417
1	712	366
2	4318	366
3	5002	364

prune161.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
0.0b	(/ 0.5 (exp im))
0.4b	(pow (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 3)
0.6b	(cbrt (pow (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`add-exp-log`
9×	`pow1` `times-frac`
8×	`cbrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow1/3` `div-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `div-inv` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

3.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
3.0ms	(/ 0.5 (exp im))
3.0ms	(pow (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 3)
1.0ms	(cbrt (pow (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 3))

series240.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
13.0ms	(/ 0.5 (exp im))
90.0ms	(pow (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 3)
69.0ms	(cbrt (pow (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	282	734
1	1139	683
2	5002	682

prune265.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes43.0ms

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

sample2.1s

Algorithm

intervals

Results

762.0ms	1570×	body	1280	valid
396.0ms	8562×	body	80	valid
318.0ms	1248×	body	640	valid
153.0ms	3443×	body	80	overflowed
97.0ms	613×	body	320	valid
35.0ms	342×	body	160	valid