Details

sample181.0ms

Algorithm

intervals

Results

68.0ms	71×	body	640	valid
53.0ms	86×	body	1280	valid
24.0ms	302×	body	80	valid
9.0ms	35×	body	320	valid
4.0ms	21×	body	160	valid

simplify5.7s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 1 expressions with local error:

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

rewrite192.0ms

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:

190.0ms

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

series133.0ms

Counts

1 → 3

Calls

1 calls:

133.0ms

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

simplify1.6s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
2	1068
1	252
0	81

prune205.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (sin re) (exp im) (/ (sin re) (exp im)))
0.3b	(/ (sin re) (exp im))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))
11.0ms	(/ (sin re) (exp im))

series164.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))
54.0ms	(/ (sin re) (exp im))

simplify2.4s

Counts

45 → 45

Iterations

Iter	Nodes
done	5035
4	3365
3	1078
2	412
1	152
0	79

prune346.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* re (fma (* re -1/3) re (fma im im 2)))
0.1b	(fma (* re -1/3) re (fma im im 2))
0.4b	(* re -1/3)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

3 → 52

Calls

3 calls:

11.0ms	(* re (fma (* re -1/3) re (fma im im 2)))
0.0ms	(fma (* re -1/3) re (fma im im 2))
10.0ms	(* re -1/3)

series184.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(* re (fma (* re -1/3) re (fma im im 2)))
57.0ms	(fma (* re -1/3) re (fma im im 2))
28.0ms	(* re -1/3)

simplify2.5s

Counts

61 → 61

Iterations

Iter	Nodes
done	5008
3	2013
2	480
1	178
0	81

prune356.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize50.0ms

Local error

Found 4 expressions with local error:

0.4b	(* re -1/3)
14.7b	(cbrt (fma (* re -1/3) re (fma im im 2)))
14.7b	(cbrt (fma (* re -1/3) re (fma im im 2)))
14.7b	(cbrt (fma (* re -1/3) re (fma im im 2)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 59

Calls

4 calls:

9.0ms	(* re -1/3)
1.0ms	(cbrt (fma (* re -1/3) re (fma im im 2)))
1.0ms	(cbrt (fma (* re -1/3) re (fma im im 2)))
2.0ms	(cbrt (fma (* re -1/3) re (fma im im 2)))

series781.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* re -1/3)
261.0ms	(cbrt (fma (* re -1/3) re (fma im im 2)))
269.0ms	(cbrt (fma (* re -1/3) re (fma im im 2)))
235.0ms	(cbrt (fma (* re -1/3) re (fma im im 2)))

simplify2.0s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
3	1349
2	438
1	176
0	84

prune477.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

regimes151.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample7.0s

Algorithm

intervals

Results

3.0s	3028×	body	1280	valid
1.5s	8608×	body	80	valid
1.4s	2479×	body	640	valid
506.0ms	1295×	body	320	valid
115.0ms	593×	body	160	valid