Details

sample89.0ms

Algorithm

intervals

Results

37.0ms	99×	body	1280	valid
16.0ms	77×	body	640	valid
12.0ms	265×	body	80	valid
5.0ms	38×	body	320	valid
2.0ms	19×	body	160	valid

simplify73.0ms

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
done	5001	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite62.0ms

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:

61.0ms

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

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

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

simplify36.0ms

Counts

28 → 28

Iterations

Useful iterations: 2 (33.0ms)

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

prune60.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))
0.7b	(* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`sqrt-div` `associate-r`
10×	`-un-lft-identity` `associate-r/`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
7×	`flip3-+` `flip-+`
6×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`frac-times`
2×	`expm1-log1p-u` `associate-l` `associate-l/` `-commutative` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

2 → 61

Calls

2 calls:

59.0ms	(* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))
157.0ms	(* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))

series159.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))
68.0ms	(* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))

simplify56.0ms

Counts

67 → 67

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	362	929
1	1862	754
2	5002	740
done	5002	740

prune141.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7
done	13	7

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	2979×	body	1280	valid
549.0ms	2545×	body	640	valid
371.0ms	8429×	body	80	valid
174.0ms	1235×	body	320	valid
60.0ms	600×	body	160	valid