Details

sample104.0ms

Algorithm

intervals

Results

40.0ms	98×	body	1280	valid
17.0ms	77×	body	640	valid
17.0ms	280×	body	80	valid
5.0ms	37×	body	320	valid
3.0ms	25×	body	160	valid

simplify1.8s

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

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite118.0ms

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:

37.0ms	(+ (exp (- im)) (exp im))
79.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (exp (- im)) (exp im))
77.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify4.7s

Counts

48 → 48

Iterations

Useful iterations: 3 (2.3s)

Iter	Nodes	Cost
0	91	586
1	253	566
2	1029	476
3	4427	471
done	5000	471

prune142.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
0.3b	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
0.3b	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
0.3b	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

86.0ms	(* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
42.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
38.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
32.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))

series977.0ms

Counts

4 → 12

Calls

4 calls:

312.0ms	(* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
217.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
203.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
244.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))

simplify2.4s

Counts

92 → 92

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	132	2201
1	316	1994
2	1001	1761
3	3723	1574
done	5001	1558

prune420.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes103.0ms

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	10	11
1	13	11
done	13	11

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	2989×	body	1280	valid
706.0ms	2451×	body	640	valid
521.0ms	8601×	body	80	valid
235.0ms	1234×	body	320	valid
73.0ms	572×	body	160	valid