Details

sample225.0ms

Algorithm

intervals

Results

85.0ms	91×	body	1280	valid
62.0ms	72×	body	640	valid
36.0ms	272×	body	80	valid
17.0ms	40×	body	320	valid
8.0ms	25×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	2018
7	2018
6	1574
5	629
4	254
3	98
2	60
1	27
0	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`associate-*l/` `insert-posit16` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

77.0ms	(* (+ (* (exp im) 0.5) (/ 0.5 (exp im))) (sin re))
10.0ms	(/ 0.5 (exp im))

series130.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(* (+ (* (exp im) 0.5) (/ 0.5 (exp im))) (sin re))
23.0ms	(/ 0.5 (exp im))

simplify1.3s

Counts

55 → 55

Iterations

Iter	Nodes
done	2003
3	2003
2	845
1	263
0	110

prune284.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ (* (exp im) 0.5) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (sin re))
0.0b	(/ (sqrt 0.5) (exp im))
1.0b	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
40×	`times-frac`
35×	`*-un-lft-identity` `add-cube-cbrt`
29×	`sqrt-prod`
25×	`associate-r`
12×	`add-cbrt-cube`
10×	`add-exp-log`
9×	`associate-l`
7×	`pow1` `unswap-sqr`
6×	`associate-/l*`
3×	`associate-/r*` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `flip3-+` `associate-*r/` `flip-+`

Counts

3 → 110

Calls

3 calls:

43.0ms	(* (+ (* (exp im) 0.5) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (sin re))
11.0ms	(/ (sqrt 0.5) (exp im))
20.0ms	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

series423.0ms

Counts

3 → 9

Calls

3 calls:

252.0ms	(* (+ (* (exp im) 0.5) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (sin re))
63.0ms	(/ (sqrt 0.5) (exp im))
108.0ms	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

simplify1.3s

Counts

119 → 119

Iterations

Iter	Nodes
done	2004
3	2004
2	1527
1	441
0	175

prune567.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample9.2s

Algorithm

intervals

Results

4.3s	2946×	body	1280	valid
2.2s	2387×	body	640	valid
1.4s	8446×	body	80	valid
682.0ms	1199×	body	320	valid
226.0ms	642×	body	160	valid