Details

sample117.0ms

Algorithm

intervals

Results

40.0ms	86×	body	1280	valid
30.0ms	288×	body	80	valid
21.0ms	73×	body	640	valid
8.0ms	44×	body	320	valid
3.0ms	23×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	4594
7	2791
6	1848
5	764
4	238
3	102
2	59
1	23
0	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite58.0ms

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-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 26

Calls

1 calls:

57.0ms

(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series92.0ms

Counts

1 → 3

Calls

1 calls:

92.0ms

(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify1.3s

Counts

29 → 29

Iterations

Iter	Nodes
done	5001
2	993
1	229
0	74

prune103.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))
0.1b	(/ 0.5 (exp im))
0.1b	(expm1 (log1p (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))))
0.3b	(log1p (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube`
7×	`add-exp-log`
6×	`pow1`
5×	`expm1-log1p-u`
4×	`insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `log1p-expm1` `*-commutative` `cbrt-unprod` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

7.0ms	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))
5.0ms	(/ 0.5 (exp im))
0.0ms	(expm1 (log1p (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))))
0.0ms	(log1p (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))

series401.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))
18.0ms	(/ 0.5 (exp im))
144.0ms	(expm1 (log1p (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))))
162.0ms	(log1p (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))

simplify1.3s

Counts

87 → 87

Iterations

Iter	Nodes
done	5007
3	2523
2	713
1	270
0	136

prune356.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.0s	2920×	body	1280	valid
1.4s	2519×	body	640	valid
1.2s	8459×	body	80	valid
369.0ms	1194×	body	320	valid
105.0ms	652×	body	160	valid