Details

sample88.0ms

Algorithm

intervals

Results

37.0ms	101×	body	1280	valid
15.0ms	271×	body	80	valid
13.0ms	65×	body	640	valid
6.0ms	43×	body	320	valid
1.0ms	14×	body	160	valid

simplify898.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	59	11
3	103	11
4	137	11
5	179	11
6	258	11
7	397	11
8	435	11
9	471	11
10	527	11
done	527	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `associate-r` `add-log-exp`
3×	`fma-def` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 42

Calls

2 calls:

59.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
18.0ms	(+ (exp (- im)) (exp im))

series89.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
24.0ms	(+ (exp (- im)) (exp im))

simplify3.0s

Counts

48 → 48

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	91	586
1	253	566
2	1033	476
3	4409	471
done	5000	471

prune120.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))
0.0b	(fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

22.0ms	(* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))
0.0ms	(fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))

series162.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))
66.0ms	(fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))

simplify2.1s

Counts

38 → 38

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	77	695
1	182	478
2	667	397
3	2781	396
done	5000	395

prune84.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (pow im 4) 1/12 (fma im im 2))
0.0b	(* (* 0.5 (cos re)) (fma (pow im 4) 1/12 (fma im im 2)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma (pow im 4) 1/12 (fma im im 2))
20.0ms	(* (* 0.5 (cos re)) (fma (pow im 4) 1/12 (fma im im 2)))

series164.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(fma (pow im 4) 1/12 (fma im im 2))
122.0ms	(* (* 0.5 (cos re)) (fma (pow im 4) 1/12 (fma im im 2)))

simplify2.5s

Counts

38 → 38

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	73	641
1	181	625
2	721	523
3	4096	516
done	5000	515

prune105.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	13	16
done	13	16

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	3006×	body	1280	valid
501.0ms	2370×	body	640	valid
364.0ms	8504×	body	80	valid
169.0ms	1260×	body	320	valid
56.0ms	613×	body	160	valid