Details

sample224.0ms

Algorithm

intervals

Results

86.0ms	102×	body	1280	valid
59.0ms	276×	body	80	valid
42.0ms	84×	body	640	valid
15.0ms	35×	body	320	valid
3.0ms	12×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
7	2000
6	1040
5	510
4	239
3	129
2	62
1	27
0	11

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- 0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

rewrite140.0ms

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-cbrt-cube` `add-exp-log`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 55

Calls

2 calls:

48.0ms	(+ (exp (- 0 im)) (exp im))
90.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (exp (- 0 im)) (exp im))
112.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

simplify1.1s

Counts

61 → 61

Iterations

Iter	Nodes
done	2015
3	2015
2	1301
1	298
0	99

prune673.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt`
7×	`fma-def`
6×	`times-frac`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `associate-/r` `associate-r*` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `div-exp`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `associate-l` `-commutative` `flip-+` `distribute-lft-out` `associate-/l`

Counts

3 → 67

Calls

3 calls:

24.0ms	(+ (/ (* 0.5 (sin re)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
37.0ms	(* (* 0.5 (sin re)) (exp im))
16.0ms	(/ (* 0.5 (sin re)) (exp im))

series222.0ms

Counts

3 → 9

Calls

3 calls:

127.0ms	(+ (/ (* 0.5 (sin re)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
53.0ms	(* (* 0.5 (sin re)) (exp im))
42.0ms	(/ (* 0.5 (sin re)) (exp im))

simplify1.2s

Counts

76 → 76

Iterations

Iter	Nodes
done	2009
3	2009
2	1343
1	330
0	116

prune764.0ms

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
66×	`times-frac`
49×	`*-un-lft-identity` `add-cube-cbrt`
42×	`sqrt-prod`
22×	`associate-r` `associate-l`
18×	`add-cbrt-cube` `add-exp-log`
9×	`unswap-sqr`
8×	`pow1` `sqrt-pow1`
6×	`exp-prod` `associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`rem-sqrt-square` `pow1/2`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 156

Calls

4 calls:

4.0ms	(sqrt (exp im))
5.0ms	(sqrt (exp im))
42.0ms	(* (/ 0.5 (sqrt (exp im))) (/ (sin re) (sqrt (exp im))))
10.0ms	(/ (sin re) (sqrt (exp im)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp im))
22.0ms	(sqrt (exp im))
67.0ms	(* (/ 0.5 (sqrt (exp im))) (/ (sin re) (sqrt (exp im))))
74.0ms	(/ (sin re) (sqrt (exp im)))

simplify1.3s

Counts

168 → 168

Iterations

Iter	Nodes
done	2004
3	2004
2	1639
1	503
0	192

prune2.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes176.0ms

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	15
1	15
0	11

end0.0ms

sample8.9s

Algorithm

intervals

Results

3.3s	2991×	body	1280	valid
2.2s	2482×	body	640	valid
1.6s	8482×	body	80	valid
1.1s	1198×	body	320	valid
281.0ms	578×	body	160	valid