Details

sample230.0ms

Algorithm

intervals

Results

89.0ms	102×	body	1280	valid
71.0ms	84×	body	640	valid
34.0ms	275×	body	80	valid
17.0ms	34×	body	320	valid
4.0ms	14×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
7	2001
6	1348
5	617
4	210
3	86
2	57
1	23
0	10

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `insert-posit16` `associate-/l`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

60.0ms	(* (cos re) (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))
23.0ms	(+ (/ 0.5 (exp im)) (* (exp im) 0.5))
13.0ms	(/ 0.5 (exp im))

series205.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(* (cos re) (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))
84.0ms	(+ (/ 0.5 (exp im)) (* (exp im) 0.5))
20.0ms	(/ 0.5 (exp im))

simplify939.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	2000
3	2000
2	1121
1	326
0	125

prune516.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
16×	`add-cbrt-cube`
14×	`associate-r`
13×	`add-exp-log`
11×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `insert-posit16`
3×	`associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `*-commutative` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`

Counts

4 → 93

Calls

4 calls:

14.0ms	(* (cos re) (/ 0.5 (exp im)))
18.0ms	(+ (* (cos re) (/ 0.5 (exp im))) (* (cos re) (* (exp im) 0.5)))
30.0ms	(* (cos re) (* (exp im) 0.5))
5.0ms	(/ 0.5 (exp im))

series185.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (cos re) (/ 0.5 (exp im)))
89.0ms	(+ (* (cos re) (/ 0.5 (exp im))) (* (cos re) (* (exp im) 0.5)))
38.0ms	(* (cos re) (* (exp im) 0.5))
18.0ms	(/ 0.5 (exp im))

simplify953.0ms

Counts

105 → 105

Iterations

Iter	Nodes
done	2010
3	2010
2	1517
1	410
0	152

prune725.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (cos re) (exp (- (log 0.5) im))) (* (cos re) (* (exp im) 0.5)))
0.0b	(* (cos re) (* (exp im) 0.5))
0.0b	(- (log 0.5) im)
0.1b	(exp (- (log 0.5) im))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`pow1`
9×	`add-cbrt-cube` `add-log-exp`
8×	`add-exp-log` `add-cube-cbrt`
6×	`log-prod` `exp-prod` `associate--l+`
5×	`exp-sum`
4×	`insert-posit16` `distribute-lft-out--`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `diff-log` `log-pow` `difference-of-squares` `rem-exp-log`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `exp-diff` `associate-r` `*-commutative` `flip-+` `flip--` `distribute-lft-out`

Counts

4 → 73

Calls

4 calls:

41.0ms	(+ (* (cos re) (exp (- (log 0.5) im))) (* (cos re) (* (exp im) 0.5)))
26.0ms	(* (cos re) (* (exp im) 0.5))
6.0ms	(- (log 0.5) im)
12.0ms	(exp (- (log 0.5) im))

series428.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(+ (* (cos re) (exp (- (log 0.5) im))) (* (cos re) (* (exp im) 0.5)))
47.0ms	(* (cos re) (* (exp im) 0.5))
204.0ms	(- (log 0.5) im)
20.0ms	(exp (- (log 0.5) im))

simplify1.0s

Counts

85 → 85

Iterations

Iter	Nodes
done	2011
3	2011
2	954
1	322
0	133

prune745.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample7.5s

Algorithm

intervals

Results

3.0s	2991×	body	1280	valid
2.3s	2486×	body	640	valid
1.1s	8489×	body	80	valid
538.0ms	1196×	body	320	valid
211.0ms	575×	body	160	valid