Details

sample92.0ms

Algorithm

intervals

Results

40.0ms	96×	body	1280	valid
19.0ms	89×	body	640	valid
11.0ms	259×	body	80	valid
4.0ms	32×	body	320	valid
2.0ms	19×	body	160	valid

simplify76.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

10.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify36.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	219	263
1	1151	215
2	5001	213

prune59.0ms

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-cbrt-cube`
8×	`add-exp-log`
7×	`pow1`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `associate-l` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

2 → 43

Calls

2 calls:

6.0ms	(* (* 0.5 (cos re)) (exp im))
6.0ms	(/ (* 0.5 (cos re)) (exp im))

series74.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (* 0.5 (cos re)) (exp im))
40.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify37.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	209	288
1	1194	235
2	5002	235

prune108.0ms

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

sample2.6s

Algorithm

intervals

Results

1.1s	3039×	body	1280	valid
532.0ms	2520×	body	640	valid
376.0ms	8615×	body	80	valid
178.0ms	1283×	body	320	valid
60.0ms	657×	body	160	valid