Details

sample169.0ms

Algorithm

intervals

Results

80.0ms	74×	body	1280	valid
29.0ms	80×	body	640	valid
23.0ms	293×	body	80	valid
9.0ms	34×	body	320	valid
3.0ms	22×	body	160	valid

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	63	12
3	120	12
4	197	12
5	244	12
6	355	12
7	423	12
8	700	12
9	1173	12
10	1473	12
11	1509	12
12	1566	12
done	1566	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `associate-*r/`
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:

227.0ms

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

series144.0ms

Counts

1 → 3

Calls

1 calls:

144.0ms

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

simplify4.8s

Counts

28 → 28

Iterations

Useful iterations: 3 (2.7s)

Iter	Nodes	Cost
0	81	450
1	233	439
2	1003	365
3	4681	364
done	5000	364

prune142.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
0.6b	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
0.6b	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
0.6b	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

rewrite300.0ms

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:

72.0ms	(* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
79.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
62.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
82.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

series1.1s

Counts

4 → 12

Calls

4 calls:

360.0ms	(* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
281.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
236.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
214.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

simplify2.8s

Counts

92 → 92

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	140	2430
1	333	2237
2	998	2005
3	3631	1769
done	5001	1722

prune437.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes198.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	14	12
done	14	12

end0.0ms

sample7.2s

Algorithm

intervals

Results

2.6s	3006×	body	1280	valid
1.7s	2423×	body	640	valid
1.0s	8567×	body	80	valid
660.0ms	1260×	body	320	valid
603.0ms	628×	body	160	valid