Details

sample178.0ms

Algorithm

intervals

Results

65.0ms	96×	body	1280	valid
42.0ms	264×	body	80	valid
31.0ms	79×	body	640	valid
8.0ms	30×	body	320	valid
6.0ms	20×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4184
4	470
3	93
2	57
1	23
0	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 1 expressions with local error:

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

rewrite104.0ms

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-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

102.0ms

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

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

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

simplify1.0s

Counts

26 → 26

Iterations

Iter	Nodes
done	5001
2	1485
1	224
0	71

prune166.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

40.0ms	(* (exp im) (* 0.5 (cos re)))
40.0ms	(+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))
16.0ms	(/ (cos re) (exp im))

series226.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* (exp im) (* 0.5 (cos re)))
116.0ms	(+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))
38.0ms	(/ (cos re) (exp im))

simplify906.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	1263
1	298
0	117

prune332.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.3s	2945×	body	1280	valid
1.9s	2519×	body	640	valid
761.0ms	8517×	body	80	valid
674.0ms	1205×	body	320	valid
104.0ms	631×	body	160	valid