Details

sample248.0ms

Algorithm

intervals

Results

125.0ms	102×	body	1280	valid
46.0ms	78×	body	640	valid
33.0ms	255×	body	80	valid
20.0ms	32×	body	320	valid
5.0ms	21×	body	160	valid

simplify220.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

220.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

rewrite162.0ms

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` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 26

Calls

1 calls:

Slowest

161.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

series108.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

108.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

simplify5.6s

Counts

30 → 29

Calls

30 calls:

Slowest

470.0ms	(* (* (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))) (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))))
400.0ms	(* (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im))))
358.0ms	(* (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))) (* (* (+ (exp (- 0 im)) (exp im)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im))))
338.0ms	(* (* 0.5 (sin re)) (+ (pow (exp (- 0 im)) 3) (pow (exp im) 3)))
329.0ms	(exp (* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im))))

prune254.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ 0.5 (/ (exp im) (sin re)))
0.1b	(/ (exp im) (sin re))
0.0b	(* (exp im) (* 0.5 (sin re)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`add-exp-log`
8×	`pow1`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`associate-r` `associate-/r/` `*-commutative`

Counts

3 → 124

Calls

3 calls:

Slowest

42.0ms	(* (exp im) (* 0.5 (sin re)))
12.0ms	(/ 0.5 (/ (exp im) (sin re)))
7.0ms	(/ (exp im) (sin re))

series180.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

69.0ms	(/ 0.5 (/ (exp im) (sin re)))
68.0ms	(* (exp im) (* 0.5 (sin re)))
42.0ms	(/ (exp im) (sin re))

simplify10.0s

Counts

182 → 133

Calls

182 calls:

Slowest

651.0ms	(* (* (* (exp im) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re)))) (* (exp im) (* 0.5 (sin re))))
578.0ms	(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))))
477.0ms	(/ (* (cbrt 0.5) (cbrt 0.5)) (/ (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (sin re)) (cbrt (sin re)))))
428.0ms	(/ (* (* (exp im) (exp im)) (exp im)) (* (* (sin re) (sin re)) (sin re)))
402.0ms	(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))))

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes256.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample9.3s

Algorithm

intervals

Results

4.2s	3071×	body	1280	valid
2.4s	2465×	body	640	valid
1.6s	8513×	body	80	valid
563.0ms	1193×	body	320	valid
183.0ms	642×	body	160	valid