Details

sample233.0ms

Algorithm

intervals

Results

69.0ms	293×	body	80	valid
69.0ms	74×	body	1280	valid
43.0ms	80×	body	640	valid
12.0ms	34×	body	320	valid
5.0ms	22×	body	160	valid

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	61	12
3	105	12
4	171	12
5	209	12
6	319	12
7	357	12
8	625	12
9	1054	12
10	1345	12
11	1381	12
12	1435	12
done	1435	12

prune5.0ms

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)))

rewrite200.0ms

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` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

197.0ms

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

series115.0ms

Counts

1 → 3

Calls

1 calls:

115.0ms

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

simplify4.3s

Counts

26 → 26

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	79	424
1	229	414
2	971	340
3	4443	338
done	5001	338

prune120.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (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))))

rewrite325.0ms

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×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 72

Calls

4 calls:

76.0ms	(* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
95.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
76.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
75.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

series1.1s

Counts

4 → 12

Calls

4 calls:

354.0ms	(* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
233.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
221.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
262.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

simplify2.5s

Counts

84 → 84

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	136	2290
1	324	2101
2	948	1883
3	3400	1655
done	5000	1608

prune392.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes196.0ms

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 (0.0ms)

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

end0.0ms

sample7.3s

Algorithm

intervals

Results

3.2s	3006×	body	1280	valid
1.4s	2423×	body	640	valid
1.4s	8567×	body	80	valid
397.0ms	1260×	body	320	valid
174.0ms	628×	body	160	valid