Details

sample114.0ms

Algorithm

intervals

Results

55.0ms	103×	body	1280	valid
18.0ms	74×	body	640	valid
15.0ms	255×	body	80	valid
5.0ms	32×	body	320	valid
2.0ms	18×	body	160	valid

simplify878.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

95.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
31.0ms	(+ (exp (- im)) (exp im))

series107.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
34.0ms	(+ (exp (- im)) (exp im))

simplify569.0ms

Counts: 41 → 41

prune147.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

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))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `div-inv`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `-commutative` `flip-+` `distribute-lft-out` `associate-/l`

Counts

3 → 51

Calls

3 calls:

37.0ms	(* (* 0.5 (cos re)) (exp im))
39.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
25.0ms	(/ (* 0.5 (cos re)) (exp im))

series235.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* (* 0.5 (cos re)) (exp im))
126.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
59.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify801.0ms

Counts: 60 → 60

prune156.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cbrt-cube`
12×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`sqrt-prod`
8×	`sqrt-pow1`
6×	`exp-prod` `associate-r`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `pow-prod-down` `associate-/r*`
2×	`cbrt-undiv` `rem-sqrt-square` `pow1/2` `div-exp`
1×	`frac-2neg` `associate-l` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 74

Calls

4 calls:

3.0ms	(sqrt (exp im))
3.0ms	(sqrt (exp im))
15.0ms	(/ (* 0.5 (cos re)) (exp im))
37.0ms	(* (* 0.5 (cos re)) (sqrt (exp im)))

series122.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp im))
13.0ms	(sqrt (exp im))
46.0ms	(/ (* 0.5 (cos re)) (exp im))
50.0ms	(* (* 0.5 (cos re)) (sqrt (exp im)))

simplify593.0ms

Counts: 86 → 86

prune319.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes119.0ms

Accuracy

-61% (0.0b remaining)

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

bsearch0.0ms

simplify38.0ms

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.5s	3041×	body	1280	valid
985.0ms	8359×	body	80	valid
879.0ms	2411×	body	640	valid
328.0ms	1201×	body	320	valid
86.0ms	609×	body	160	valid