Details

sample153.0ms

Algorithm

intervals

Results

67.0ms	103×	body	1280	valid
24.0ms	72×	body	640	valid
21.0ms	300×	body	80	valid
10.0ms	47×	body	320	valid
5.0ms	30×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4184
4	470
3	93
2	57
1	23
0	10

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

71.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
23.0ms	(+ (exp (- im)) (exp im))

series117.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
34.0ms	(+ (exp (- im)) (exp im))

simplify1.1s

Counts

41 → 41

Iterations

Iter	Nodes
done	5002
2	1645
1	260
0	85

prune211.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
16×	`add-cbrt-cube` `associate-r`
12×	`add-exp-log`
11×	`pow1`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down`
3×	`associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `*-commutative` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `associate-*r/` `flip-+`

Counts

4 → 88

Calls

4 calls:

23.0ms	(+ (* (cos re) (/ 0.5 (exp im))) (* (* 0.5 (cos re)) (exp im)))
19.0ms	(* (cos re) (/ 0.5 (exp im)))
27.0ms	(* (* 0.5 (cos re)) (exp im))
9.0ms	(/ 0.5 (exp im))

series209.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(+ (* (cos re) (/ 0.5 (exp im))) (* (* 0.5 (cos re)) (exp im)))
43.0ms	(* (cos re) (/ 0.5 (exp im)))
40.0ms	(* (* 0.5 (cos re)) (exp im))
23.0ms	(/ 0.5 (exp im))

simplify1.7s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	2537
1	411
0	148

prune530.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes242.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.4s	2888×	body	1280	valid
1.4s	2498×	body	640	valid
824.0ms	8561×	body	80	valid
380.0ms	1228×	body	320	valid
92.0ms	597×	body	160	valid