Details

sample90.0ms

Algorithm

intervals

Results

37.0ms	98×	body	1280	valid
14.0ms	66×	body	640	valid
14.0ms	296×	body	80	valid
4.0ms	31×	body	320	valid
2.0ms	18×	body	160	valid

simplify69.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1662	7
8	4217	7
9	5002	7
done	5002	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 35

Calls

2 calls:

40.0ms	(+ (exp (- 0.0 im)) (exp im))
115.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (- 0.0 im)) (exp im))
73.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify37.0ms

Counts

41 → 41

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	268	349
1	1226	295
2	5002	294
done	5002	294

prune102.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube`
9×	`add-exp-log`
8×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-l` `exp-sum` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 51

Calls

3 calls:

57.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
25.0ms	(* (* 0.5 (sin re)) (exp im))
63.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series184.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
39.0ms	(* (* 0.5 (sin re)) (exp im))
49.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify56.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	328	481
1	1554	400
2	5001	395
done	5001	395

prune300.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-cbrt-cube`
10×	`add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-r` `pow-prod-down` `associate-/r*`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l`

Counts

3 → 52

Calls

3 calls:

36.0ms	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
32.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
25.0ms	(* (* 0.5 (sin re)) (exp im))

series266.0ms

Counts

3 → 9

Calls

3 calls:

137.0ms	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
90.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
39.0ms	(* (* 0.5 (sin re)) (exp im))

simplify63.0ms

Counts

61 → 61

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	385	578
1	2136	482
2	5001	479
done	5001	479

prune151.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	11
1	16	11
done	16	11

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.2s	3079×	body	1280	valid
566.0ms	2533×	body	640	valid
427.0ms	8542×	body	80	valid
187.0ms	1213×	body	320	valid
59.0ms	591×	body	160	valid