Details

sample166.0ms

Algorithm

intervals

Results

59.0ms	90×	body	1280	valid
47.0ms	92×	body	640	valid
28.0ms	300×	body	80	valid
13.0ms	43×	body	320	valid
5.0ms	23×	body	160	valid

simplify251.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

251.0ms

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

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 1 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `associate-*r/` `add-cube-cbrt`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

1 → 24

Calls

1 calls:

Slowest

57.0ms

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

series81.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

81.0ms

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

simplify5.1s

Counts

28 → 27

Calls

28 calls:

Slowest

533.0ms	(* (* (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
397.0ms	(exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
378.0ms	(* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))))
360.0ms	(* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))))
306.0ms	(* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3)))

prune315.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
16×	`add-cbrt-cube`
14×	`associate-l`
12×	`add-exp-log`
11×	`pow1`
6×	`associate-r` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `insert-posit16`
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-*l/` `flip-+`

Counts

4 → 92

Calls

4 calls:

Slowest

40.0ms	(+ (* (/ 0.5 (exp im)) (cos re)) (* (* 0.5 (cos re)) (exp im)))
38.0ms	(* (* 0.5 (cos re)) (exp im))
24.0ms	(* (/ 0.5 (exp im)) (cos re))
10.0ms	(/ 0.5 (exp im))

series302.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

142.0ms	(+ (* (/ 0.5 (exp im)) (cos re)) (* (* 0.5 (cos re)) (exp im)))
82.0ms	(* (/ 0.5 (exp im)) (cos re))
53.0ms	(* (* 0.5 (cos re)) (exp im))
24.0ms	(/ 0.5 (exp im))

simplify8.6s

Counts

115 → 104

Calls

115 calls:

Slowest

635.0ms	(* (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (* (* 0.5 (cos re)) (exp im)))
600.0ms	(* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
520.0ms	(/ (* (* 0.5 0.5) 0.5) (* (* (exp im) (exp im)) (exp im)))
493.0ms	(* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))
367.0ms	(* (exp (* (/ 0.5 (exp im)) (cos re))) (exp (* (* 0.5 (cos re)) (exp im))))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes209.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample8.3s

Algorithm

intervals

Results

3.5s	2913×	body	1280	valid
2.1s	2379×	body	640	valid
1.7s	8319×	body	80	valid
566.0ms	1255×	body	320	valid
172.0ms	658×	body	160	valid