Details

sample187.0ms

Algorithm

intervals

Results

64.0ms	271×	body	80	valid
56.0ms	97×	body	1280	valid
26.0ms	75×	body	640	valid
11.0ms	44×	body	320	valid
4.0ms	21×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	63	12
3	124	12
4	207	12
5	803	12
done	5001	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

14×	`fma-def` `*-un-lft-identity`
11×	`exp-sum`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 53

Calls

2 calls:

94.0ms	(+ (exp (- 0.0 im)) (exp im))
202.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series166.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (exp (- 0.0 im)) (exp im))
125.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify1.2s

Counts

59 → 59

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	97	642
1	286	622
2	1618	532
done	5001	528

prune734.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-l`
13×	`pow1` `add-cbrt-cube`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `exp-sum`
9×	`add-exp-log` `prod-diff`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `fma-def` `flip3-+` `exp-diff` `associate-*l/` `sum-log` `flip-+`

Counts

3 → 67

Calls

3 calls:

108.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))
149.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
44.0ms	(* (exp im) (* 0.5 (sin re)))

series297.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))
157.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
72.0ms	(* (exp im) (* 0.5 (sin re)))

simplify1.4s

Counts

76 → 76

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	137	1113
1	379	945
2	1577	799
done	5000	788

prune347.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	16	17
done	16	17

end0.0ms

sample7.0s

Algorithm

intervals

Results

2.9s	2948×	body	1280	valid
1.6s	8582×	body	80	valid
1.2s	2511×	body	640	valid
482.0ms	1194×	body	320	valid
123.0ms	666×	body	160	valid