Details

sample122.0ms

Algorithm

intervals

Results

43.0ms	87×	body	1280	valid
30.0ms	295×	body	80	valid
22.0ms	75×	body	640	valid
8.0ms	38×	body	320	valid
4.0ms	29×	body	160	valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	58	7
2	95	7
3	209	7
4	459	7
5	629	7
6	1415	7
7	2148	7
8	5002	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

28.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
9.0ms	(+ (exp (- im)) (exp im))

series85.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
29.0ms	(+ (exp (- im)) (exp im))

simplify38.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	249	347
1	1229	286
2	5001	284

prune98.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 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))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp` `div-inv`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out` `associate-/l*`

Counts

2 → 33

Calls

2 calls:

9.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
5.0ms	(/ (* 0.5 (cos re)) (exp im))

series121.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
39.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify39.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	239	336
1	1220	294
2	5002	287

prune94.0ms

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

sample3.7s

Algorithm

intervals

Results

1.5s	3043×	body	1280	valid
760.0ms	8444×	body	80	valid
740.0ms	2453×	body	640	valid
263.0ms	1229×	body	320	valid
94.0ms	609×	body	160	valid