Details

sample125.0ms

Algorithm

intervals

Results

46.0ms	109×	body	1280	valid
28.0ms	99×	body	640	valid
23.0ms	289×	body	80	valid
9.0ms	48×	body	320	valid
3.0ms	22×	body	160	valid

simplify68.0ms

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

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

28.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	215	246
1	1120	199
2	5002	198

prune55.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize12.0ms

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))

rewrite14.0ms

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

series120.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify40.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (36.0ms)

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

prune90.0ms

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

sample3.4s

Algorithm

intervals

Results

1.4s	3110×	body	1280	valid
737.0ms	8779×	body	80	valid
667.0ms	2467×	body	640	valid
224.0ms	1176×	body	320	valid
81.0ms	577×	body	160	valid