Details

sample252.0ms

Algorithm

intervals

Results

104.0ms	109×	body	1280	valid
70.0ms	83×	body	640	valid
37.0ms	269×	body	80	valid
14.0ms	33×	body	320	valid
4.0ms	14×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
16	1977
15	1977
14	1975
13	1738
12	1274
11	1077
10	1023
9	981
8	946
7	828
6	608
5	468
4	198
3	86
2	57
1	23
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

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-*r/` `insert-posit16` `add-log-exp`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

5.0ms	(/ 0.5 (exp im))
62.0ms	(* (cos re) (+ (* (exp im) 0.5) (/ 0.5 (exp im))))

series126.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ 0.5 (exp im))
99.0ms	(* (cos re) (+ (* (exp im) 0.5) (/ 0.5 (exp im))))

simplify1.3s

Counts

57 → 57

Iterations

Iter	Nodes
3	3683
2	879
1	281
0	111

prune525.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

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-l`
13×	`add-exp-log`
11×	`pow1`
6×	`associate-r` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `insert-posit16`
3×	`associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `*-commutative` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `distribute-rgt-out` `associate-*l/` `flip-+`

Counts

4 → 93

Calls

4 calls:

38.0ms	(+ (* (* (exp im) 0.5) (cos re)) (* (/ 0.5 (exp im)) (cos re)))
34.0ms	(* (* (exp im) 0.5) (cos re))
5.0ms	(/ 0.5 (exp im))
24.0ms	(* (/ 0.5 (exp im)) (cos re))

series331.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(+ (* (* (exp im) 0.5) (cos re)) (* (/ 0.5 (exp im)) (cos re)))
79.0ms	(* (* (exp im) 0.5) (cos re))
25.0ms	(/ 0.5 (exp im))
65.0ms	(* (/ 0.5 (exp im)) (cos re))

simplify4.0s

Counts

105 → 105

Iterations

Iter	Nodes
3	7747
2	1618
1	394
0	150

prune989.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Iter	Nodes
2	14
1	14
0	10

end0.0ms

sample7.9s

Algorithm

intervals

Results

3.9s	3027×	body	1280	valid
1.8s	2502×	body	640	valid
1.1s	8518×	body	80	valid
492.0ms	1299×	body	320	valid
154.0ms	614×	body	160	valid