Details

sample108.0ms

Algorithm

intervals

Results

44.0ms	88×	body	1280	valid
20.0ms	79×	body	640	valid
16.0ms	278×	body	80	valid
7.0ms	40×	body	320	valid
2.0ms	20×	body	160	valid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1599	7
8	3585	7
9	4712	7
10	5001	7

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

6.0ms	(+ (exp (- 0.0 im)) (exp im))
12.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series22.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
15.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	265	349
1	1200	295
2	5001	294

prune55.0ms

Filtered

41 candidates to 28 candidates (31.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	1	42

Merged error: 0b

Counts

42 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-cbrt-cube`
8×	`add-exp-log` `associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-l` `exp-sum` `*-commutative` `add-log-exp`
1×	`sub-neg` `exp-diff` `associate-*r/`

Counts

2 → 39

Calls

2 calls:

9.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
6.0ms	(* (* 0.5 (sin re)) (exp im))

series19.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
9.0ms	(* (* 0.5 (sin re)) (exp im))

simplify33.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	233	286
1	1044	228
2	5001	228

prune53.0ms

Filtered

45 candidates to 29 candidates (35.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	1	46

Merged error: 0b

Counts

46 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.3s	2912×	body	1280	valid
646.0ms	2471×	body	640	valid
485.0ms	8598×	body	80	valid
218.0ms	1226×	body	320	valid
74.0ms	628×	body	160	valid

Details

sample108.0ms

simplify109.0ms

prune4.0ms

localize10.0ms

rewrite19.0ms

series22.0ms

simplify37.0ms

prune55.0ms

localize11.0ms

rewrite17.0ms

series19.0ms

simplify33.0ms

prune53.0ms

simplify1.0ms

end0.0ms

sample3.2s

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