Details

sample205.0ms

Algorithm

intervals

Results

75.0ms	91×	body	1280	valid
50.0ms	272×	body	80	valid
37.0ms	72×	body	640	valid
14.0ms	40×	body	320	valid
7.0ms	25×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
7	2000
6	1040
5	510
4	239
3	129
2	62
1	27
0	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

16.0ms	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (sin re))
11.0ms	(/ 0.5 (exp im))

series146.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (sin re))
29.0ms	(/ 0.5 (exp im))

simplify835.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	2002
3	2002
2	627
1	223
0	106

prune355.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (fma (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)))

rewrite45.0ms

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×	`expm1-log1p-u` `associate-/r*` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `associate-*r/`

Counts

3 → 114

Calls

3 calls:

17.0ms	(* (fma (exp im) 0.5 (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (sin re))
10.0ms	(/ (sqrt 0.5) (exp im))
15.0ms	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

series393.0ms

Counts

3 → 9

Calls

3 calls:

266.0ms	(* (fma (exp im) 0.5 (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (sin re))
48.0ms	(/ (sqrt 0.5) (exp im))
78.0ms	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

simplify1.2s

Counts

123 → 123

Iterations

Iter	Nodes
done	2003
3	2003
2	1226
1	402
0	172

prune572.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample9.3s

Algorithm

intervals

Results

4.8s	2946×	body	1280	valid
1.9s	2387×	body	640	valid
1.4s	8446×	body	80	valid
559.0ms	1199×	body	320	valid
199.0ms	642×	body	160	valid