Details

sample96.0ms

Algorithm

intervals

Results

39.0ms	98×	body	1280	valid
18.0ms	296×	body	80	valid
15.0ms	66×	body	640	valid
5.0ms	31×	body	320	valid
2.0ms	18×	body	160	valid

simplify68.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	64	7
2	126	7
3	212	7
4	323	7
5	864	7
6	1202	7
7	1800	7
8	4421	7
9	5001	7
done	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite197.0ms

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:

57.0ms	(+ (exp (- 0.0 im)) (exp im))
138.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
72.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify36.0ms

Counts

59 → 59

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	277	376
1	1271	319
2	5001	317
done	5001	317

prune159.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

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)))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-r`
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-l` `*-commutative`
1×	`+-commutative` `sub-neg` `fma-def` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 67

Calls

3 calls:

61.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
25.0ms	(* (* 0.5 (sin re)) (exp im))
67.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series186.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
39.0ms	(* (* 0.5 (sin re)) (exp im))
48.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify63.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	436	617
1	2003	504
2	5001	499
done	5001	499

prune227.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize10.0ms

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))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-cbrt-cube`
10×	`add-exp-log`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`fma-def`
6×	`times-frac` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-r` `pow-prod-down` `associate-/r*` `log1p-expm1-u`
2×	`div-inv`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `-commutative` `flip-+` `associate-/l`

Counts

3 → 65

Calls

3 calls:

39.0ms	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
30.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
25.0ms	(* (* 0.5 (sin re)) (exp im))

series464.0ms

Counts

3 → 9

Calls

3 calls:

326.0ms	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
100.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
38.0ms	(* (* 0.5 (sin re)) (exp im))

simplify63.0ms

Counts

74 → 74

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	401	623
1	2229	522
2	5002	516
done	5002	516

prune192.0ms

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

sample3.0s

Algorithm

intervals

Results

1.3s	3079×	body	1280	valid
614.0ms	2533×	body	640	valid
448.0ms	8542×	body	80	valid
199.0ms	1213×	body	320	valid
63.0ms	591×	body	160	valid