Details

sample202.0ms

Algorithm

intervals

Results

72.0ms	88×	body	1280	valid
49.0ms	86×	body	640	valid
33.0ms	296×	body	80	valid
24.0ms	45×	body	320	valid
5.0ms	22×	body	160	valid

simplify313.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

312.0ms

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-/r*` `times-frac`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv` `associate-/l*`

Counts

2 → 35

Calls

2 calls:

Slowest

24.0ms	(/ (* 0.5 (cos re)) (exp im))
0.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))

series174.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

112.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
62.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify1.1s

Counts

19 → 41

Calls

19 calls:

Slowest

232.0ms	(/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))
184.0ms	(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
155.0ms	(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))
153.0ms	(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
84.0ms	(- (log (* 0.5 (cos re))) im)

prune423.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

Slowest

39.0ms	(* (exp im) (* 0.5 (cos re)))
14.0ms	(/ (* 0.5 (cos re)) (exp im))

series135.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

75.0ms	(/ (* 0.5 (cos re)) (exp im))
60.0ms	(* (exp im) (* 0.5 (cos re)))

simplify1.9s

Counts

28 → 51

Calls

28 calls:

Slowest

497.0ms	(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))))
416.0ms	(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))))
212.0ms	(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
166.0ms	(/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im)))
130.0ms	(- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im)))

prune463.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample8.3s

Algorithm

intervals

Results

3.7s	2952×	body	1280	valid
1.8s	2501×	body	640	valid
1.6s	8601×	body	80	valid
625.0ms	1290×	body	320	valid
171.0ms	654×	body	160	valid