Details

sample146.0ms

Algorithm

intervals

Results

54.0ms	101×	body	1280	valid
32.0ms	74×	body	640	valid
21.0ms	274×	body	80	valid
10.0ms	42×	body	320	valid
3.0ms	21×	body	160	valid

simplify7.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	364
1	26	364
2	63	364
3	120	364
4	207	364
5	472	364
6	1092	364
7	2838	364
done	5001	364

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `associate-*r/` `add-cube-cbrt`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

175.0ms

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

series126.0ms

Counts

1 → 3

Calls

1 calls:

126.0ms

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

simplify2.0s

Counts

28 → 28

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	81	11924
1	252	11043
2	1068	10978
done	5000	10644

prune183.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* 0.16666666666666666 (* re re)))
0.0b	(* (* im im) 0.5)
0.1b	(* re (- 1.0 (* 0.16666666666666666 (* re re))))
0.1b	(* 0.16666666666666666 (* re re))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`prod-diff`
7×	`associate-r` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `*-commutative` `unswap-sqr`
2×	`flip3--` `associate-*r/` `flip--`
1×	`diff-log`

Counts

4 → 94

Calls

4 calls:

5.0ms	(- 1.0 (* 0.16666666666666666 (* re re)))
14.0ms	(* (* im im) 0.5)
27.0ms	(* re (- 1.0 (* 0.16666666666666666 (* re re))))
30.0ms	(* 0.16666666666666666 (* re re))

series378.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(- 1.0 (* 0.16666666666666666 (* re re)))
42.0ms	(* (* im im) 0.5)
189.0ms	(* re (- 1.0 (* 0.16666666666666666 (* re re))))
48.0ms	(* 0.16666666666666666 (* re re))

simplify2.1s

Counts

106 → 106

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	146	23659
1	399	20598
2	1394	19700
done	5001	19500

prune550.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* re (- 1.0 (* 0.16666666666666666 (* re re))))
0.1b	(* 0.16666666666666666 (* re re))
2.8b	(exp (log (* (* im im) 0.5)))
31.3b	(log (* (* im im) 0.5))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
17×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt`
7×	`prod-exp`
6×	`exp-prod` `associate-l` `prod-diff` `log-pow`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `associate-r` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`rem-log-exp`
2×	`log-prod` `sub-neg` `associate-r/` `-commutative` `unswap-sqr`
1×	`flip3--` `exp-sum` `flip--` `rem-exp-log`

Counts

4 → 86

Calls

4 calls:

26.0ms	(* re (- 1.0 (* 0.16666666666666666 (* re re))))
13.0ms	(* 0.16666666666666666 (* re re))
69.0ms	(exp (log (* (* im im) 0.5)))
16.0ms	(log (* (* im im) 0.5))

series402.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* re (- 1.0 (* 0.16666666666666666 (* re re))))
42.0ms	(* 0.16666666666666666 (* re re))
50.0ms	(exp (log (* (* im im) 0.5)))
200.0ms	(log (* (* im im) 0.5))

simplify115.0ms

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	143	21941