Details

sample181.0ms

Algorithm

intervals

Results

65.0ms	92×	body	1280	valid
44.0ms	99×	body	640	valid
29.0ms	291×	body	80	valid
13.0ms	42×	body	320	valid
3.0ms	17×	body	160	valid

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	61	12
3	105	12
4	171	12
5	209	12
6	319	12
7	357	12
8	625	12
9	1054	12
10	1345	12
11	1381	12
12	1435	12
done	1435	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)))

rewrite246.0ms

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:

59.0ms	(+ (exp (- 0.0 im)) (exp im))
185.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series128.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (exp (- 0.0 im)) (exp im))
88.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify4.4s

Counts

41 → 41

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	93	600
1	263	582
2	1038	490
3	4500	487
done	5000	487

prune154.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite180.0ms

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:

74.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
68.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
35.0ms	(* (* 0.5 (sin re)) (exp im))

series284.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
136.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
64.0ms	(* (* 0.5 (sin re)) (exp im))

simplify1.6s

Counts

60 → 60

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	116	884
1	318	754
2	1279	646
done	5001	637

prune202.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite140.0ms

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:

49.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
62.0ms	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
27.0ms	(* (* 0.5 (sin re)) (exp im))

series399.0ms

Counts

3 → 9

Calls

3 calls:

167.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
185.0ms	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
47.0ms	(* (* 0.5 (sin re)) (exp im))

simplify1.8s

Counts

61 → 61

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	127	1021
1	380	896
2	1769	767
done	5001	763

prune231.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
60×	`sqrt-prod`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`add-cbrt-cube`
26×	`add-exp-log`
12×	`associate-/r*`
11×	`associate-/l*`
10×	`cbrt-undiv` `div-exp`
9×	`pow1` `prod-exp` `cbrt-unprod` `div-inv`
6×	`add-log-exp`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+` `associate-/l/`

Counts

4 → 153

Calls

4 calls:

128.0ms	(+ (/ (/ (* (* 0.5 (sin re)) (exp 0.0)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (sin re)) (exp im)))
51.0ms	(/ (/ (* (* 0.5 (sin re)) (exp 0.0)) (sqrt (exp im))) (sqrt (exp im)))
44.0ms	(* (* 0.5 (sin re)) (exp im))
63.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (sqrt (exp im)))

series486.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(+ (/ (/ (* (* 0.5 (sin re)) (exp 0.0)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (sin re)) (exp im)))
111.0ms	(/ (/ (* (* 0.5 (sin re)) (exp 0.0)) (sqrt (exp im))) (sqrt (exp im)))
57.0ms	(* (* 0.5 (sin re)) (exp im))
151.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (sqrt (exp im)))

simplify1.7s

Counts

165 → 165

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	248	3688
1	678	3171
2	2691	2785
done	5000	2741

prune622.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

Details

sample181.0ms

simplify5.5s

prune5.0ms

localize26.0ms

rewrite246.0ms

series128.0ms

simplify4.4s

prune154.0ms

localize28.0ms

rewrite180.0ms

series284.0ms

simplify1.6s

prune202.0ms

localize19.0ms

rewrite140.0ms

series399.0ms

simplify1.8s

prune231.0ms

localize37.0ms

rewrite299.0ms

series486.0ms

simplify1.7s

prune622.0ms

regimes2.0ms