Details

sample139.0ms

Algorithm

intervals

Results

56.0ms	108×	body	1280	valid
32.0ms	103×	body	640	valid
21.0ms	264×	body	80	valid
10.0ms	46×	body	320	valid
3.0ms	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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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:

28.0ms

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

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (32.0ms)

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

prune128.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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:

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

series41.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(* (* 0.5 (cos re)) (exp im))
21.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
11.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify51.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (44.0ms)

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

prune445.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes262.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

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

1.6s	3129×	body	1280	valid
803.0ms	2481×	body	640	valid
591.0ms	8397×	body	80	valid
275.0ms	1243×	body	320	valid
99.0ms	666×	body	160	valid