Details

sample84.0ms

Algorithm

intervals

Results

33.0ms	87×	body	1280	valid
18.0ms	75×	body	640	valid
12.0ms	295×	body	80	valid
5.0ms	38×	body	320	valid
3.0ms	29×	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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

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:

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

series88.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
28.0ms	(+ (exp (- im)) (exp im))

simplify40.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (36.0ms)

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

prune127.0ms

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))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

10.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
5.0ms	(/ (* 0.5 (cos re)) (exp im))

series125.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
40.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify40.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	249	366
1	1279	315
2	5002	309

prune131.0ms

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

sample2.5s

Algorithm

intervals

Results

1.1s	3043×	body	1280	valid
511.0ms	2453×	body	640	valid
356.0ms	8444×	body	80	valid
173.0ms	1229×	body	320	valid
57.0ms	609×	body	160	valid