Details

sample86.0ms

Algorithm

intervals

Results

36.0ms	101×	body	1280	valid
18.0ms	77×	body	640	valid
10.0ms	248×	body	80	valid
6.0ms	47×	body	320	valid
2.0ms	23×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	58	11
3	108	11
4	253	11
5	389	11
6	530	11
7	809	11
8	1323	11
done	5000	11

prune3.0ms

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

rewrite40.0ms

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:

9.0ms	(+ (exp (- im)) (exp im))
30.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series80.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (exp (- im)) (exp im))
56.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify464.0ms

Counts

48 → 48

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	91	586
1	263	566
2	1062	476
done	5001	476

prune112.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- im)) 3)
0.0b	(* (exp im) (exp im))
0.1b	(pow (exp im) 3)
5.5b	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

31×	`exp-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow-pow`
13×	`pow1`
8×	`add-cbrt-cube`
6×	`unpow-prod-down` `pow-unpow` `cube-prod` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `swap-sqr` `associate-r` `associate-l`
2×	`cube-div` `cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `flip3--` `distribute-rgt-out--` `pow-plus` `exp-diff` `fma-neg` `diff-log` `prod-diff` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

4.0ms	(pow (exp (- im)) 3)
7.0ms	(* (exp im) (exp im))
2.0ms	(pow (exp im) 3)
7.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

series111.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(pow (exp (- im)) 3)
14.0ms	(* (exp im) (exp im))
23.0ms	(pow (exp im) 3)
48.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

simplify1.3s

Counts

130 → 130

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	162	1108
1	401	822
2	2055	743
done	5001	742

prune401.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	13	11
done	13	11

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	2990×	body	1280	valid
495.0ms	2386×	body	640	valid
366.0ms	8530×	body	80	valid
162.0ms	1205×	body	320	valid
60.0ms	645×	body	160	valid