Details

sample198.0ms

Algorithm

intervals

Results

64.0ms	75×	body	640	valid
64.0ms	97×	body	1280	valid
24.0ms	271×	body	80	valid
12.0ms	44×	body	320	valid
5.0ms	21×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	61	12
3	108	12
4	174	12
5	759	12
done	5000	12

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite243.0ms

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:

70.0ms	(+ (exp (- 0.0 im)) (exp im))
170.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series158.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (exp (- 0.0 im)) (exp im))
124.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify1.0s

Counts

41 → 41

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	93	600
1	277	582
2	1548	494
done	5001	489

prune195.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize20.0ms

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)))

rewrite712.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

549.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))
129.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
31.0ms	(* (exp im) (* 0.5 (sin re)))

series347.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))
170.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
70.0ms	(* (exp im) (* 0.5 (sin re)))

simplify1.0s

Counts

60 → 60

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	113	882
1	318	758
2	1309	650
done	5000	637

prune270.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample7.1s

Algorithm

intervals

Results

2.4s	2948×	body	1280	valid
2.3s	2511×	body	640	valid
1.2s	8582×	body	80	valid
441.0ms	1194×	body	320	valid
176.0ms	666×	body	160	valid