Details

sample146.0ms

Algorithm

intervals

Results

54.0ms	96×	body	1280	valid
28.0ms	83×	body	640	valid
22.0ms	297×	body	80	valid
10.0ms	42×	body	320	valid
3.0ms	20×	body	160	valid

simplify125.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite140.0ms

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:

84.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
54.0ms	(+ (exp (- im)) (exp im))

series126.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
36.0ms	(+ (exp (- im)) (exp im))

simplify32.0ms

Counts: 41 → 41

prune117.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

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:

31.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
18.0ms	(/ (* 0.5 (cos re)) (exp im))
35.0ms	(* (* 0.5 (cos re)) (exp im))

series220.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
56.0ms	(/ (* 0.5 (cos re)) (exp im))
44.0ms	(* (* 0.5 (cos re)) (exp im))

simplify42.0ms

Counts: 60 → 60

prune190.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
63×	`sqrt-prod`
55×	`add-sqr-sqrt`
54×	`add-cube-cbrt` `*-un-lft-identity`
23×	`add-cbrt-cube`
21×	`add-exp-log`
12×	`associate-/r*`
11×	`associate-/l*`
10×	`pow1`
9×	`div-inv`
7×	`cbrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`sqrt-pow1` `add-log-exp`
3×	`exp-prod` `associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`rem-sqrt-square` `pow1/2` `associate-l` `*-commutative` `associate-/l/`

Counts

4 → 154

Calls

4 calls:

3.0ms	(sqrt (exp im))
28.0ms	(* (* 0.5 (cos re)) (exp im))
15.0ms	(/ (* 0.5 (cos re)) (sqrt (exp im)))
38.0ms	(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (exp im))
54.0ms	(* (* 0.5 (cos re)) (exp im))
61.0ms	(/ (* 0.5 (cos re)) (sqrt (exp im)))
51.0ms	(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))

simplify64.0ms

Counts: 166 → 166

prune529.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes56.0ms

Accuracy

-57.3% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.4s	3025×	body	1280	valid
1.2s	2447×	body	640	valid
654.0ms	8568×	body	80	valid
343.0ms	1276×	body	320	valid
131.0ms	648×	body	160	valid