Details

sample155.0ms

Algorithm

intervals

Results

83.0ms	96×	body	1280	valid
24.0ms	79×	body	640	valid
18.0ms	264×	body	80	valid
6.0ms	30×	body	320	valid
3.0ms	20×	body	160	valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4343
4	489
3	108
2	59
1	23
0	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite50.0ms

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-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

49.0ms

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

series129.0ms

Counts

1 → 3

Calls

1 calls:

129.0ms

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

simplify1.2s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
2	1719
1	242
0	75

prune164.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

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-r`
12×	`add-exp-log`
11×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
3×	`associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `*-commutative` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `associate-*r/` `flip-+`

Counts

4 → 97

Calls

4 calls:

28.0ms	(* (exp im) (* (cos re) 0.5))
17.0ms	(* (cos re) (/ 0.5 (exp im)))
36.0ms	(+ (* (exp im) (* (cos re) 0.5)) (* (cos re) (/ 0.5 (exp im))))
10.0ms	(/ 0.5 (exp im))

series278.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (exp im) (* (cos re) 0.5))
55.0ms	(* (cos re) (/ 0.5 (exp im)))
148.0ms	(+ (* (exp im) (* (cos re) 0.5)) (* (cos re) (/ 0.5 (exp im))))
16.0ms	(/ 0.5 (exp im))

simplify1.6s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	2190
1	415
0	153

prune533.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample6.6s

Algorithm

intervals

Results

2.3s	2945×	body	1280	valid
1.9s	8517×	body	80	valid
1.2s	2519×	body	640	valid
393.0ms	1205×	body	320	valid
112.0ms	631×	body	160	valid