Details

sample96.0ms

Algorithm

intervals

Results

44.0ms	121×	body	1280	valid
16.0ms	79×	body	640	valid
12.0ms	277×	body	80	valid
7.0ms	49×	body	320	valid
2.0ms	16×	body	160	valid

simplify74.0ms

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

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- im)) (exp im))
0.0b	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `associate-r` `add-log-exp`
3×	`fma-def` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 42

Calls

2 calls:

9.0ms	(+ (exp (- im)) (exp im))
27.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (- im)) (exp im))
65.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify38.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	258	374
1	1276	311
2	5002	307

prune173.0ms

Filtered

48 candidates to 35 candidates (72.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`fma-def`
6×	`times-frac`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `associate-/r*` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `div-exp`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `-commutative` `flip-+` `distribute-lft-out` `associate-/l`

Counts

3 → 64

Calls

3 calls:

10.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
9.0ms	(* (* 0.5 (cos re)) (exp im))
4.0ms	(/ (* 0.5 (cos re)) (exp im))

series157.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
38.0ms	(* (* 0.5 (cos re)) (exp im))
37.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify50.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	297	490
1	1687	421
2	5001	416

prune166.0ms

Filtered

73 candidates to 57 candidates (78.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	2927×	body	1280	valid
532.0ms	2459×	body	640	valid
382.0ms	8615×	body	80	valid
185.0ms	1273×	body	320	valid
65.0ms	644×	body	160	valid