Details

analyze351.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

sample103.0ms

Algorithm

intervals

Results

22.0ms	42×	body	1280	valid
18.0ms	53×	body	1280	invalid
13.0ms	42×	body	640	invalid
11.0ms	40×	body	640	valid
8.0ms	142×	body	80	valid
5.0ms	83×	body	80	invalid
4.0ms	22×	body	320	invalid
3.0ms	19×	body	320	valid
2.0ms	14×	body	160	invalid
2.0ms	13×	body	160	valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5009	12

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize11.0ms

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)))

rewrite21.0ms

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))
14.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series19.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (exp (- 0.0 im)) (exp im))
15.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify27.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5131	485

prune62.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `add-cbrt-cube`
6×	`associate-l`
5×	`add-exp-log` `add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sub-neg` `flip3-+` `exp-diff` `associate-*r/` `exp-sum` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 50

Calls

3 calls:

11.0ms	(+ (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im))))
5.0ms	(* (sin re) (exp im))
8.0ms	(* (sin re) (exp (- 0.0 im)))

series36.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im))))
7.0ms	(* (sin re) (exp im))
8.0ms	(* (sin re) (exp (- 0.0 im)))

simplify30.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5291	572

prune77.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	59	3	62

Merged error: 0b

Counts

62 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))
0.4b	(pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3)
21.0b	(cbrt (pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
10×	`add-sqr-sqrt` `associate-*r/`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`add-log-exp`
4×	`cube-div` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
3×	`pow-unpow` `pow-pow` `associate-l` `pow-exp` `rem-cube-cbrt`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `unpow3` `cube-prod` `distribute-lft-out` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

6.0ms	(+ (exp (- 0.0 im)) (exp im))
10.0ms	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))
14.0ms	(pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3)
4.0ms	(cbrt (pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3))

series54.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (exp (- 0.0 im)) (exp im))
12.0ms	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))
25.0ms	(pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3)
14.0ms	(cbrt (pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3))

simplify23.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5056	1238

prune141.0ms

Filtered

65 candidates to 93 candidates (-43.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes253.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	12
1	24	12

end0.0ms

sample3.2s

Algorithm

intervals

Results

807.0ms	1493×	body	1280	valid
698.0ms	1541×	body	1280	invalid
369.0ms	1241×	body	640	valid
315.0ms	1286×	body	640	invalid
266.0ms	4343×	body	80	valid
140.0ms	2307×	body	80	invalid
113.0ms	601×	body	320	valid
113.0ms	653×	body	320	invalid
44.0ms	322×	body	160	valid
38.0ms	312×	body	160	invalid

Details

analyze351.0ms

sample103.0ms

simplify69.0ms

prune7.0ms

localize11.0ms

rewrite21.0ms

series19.0ms

simplify27.0ms

prune62.0ms

localize13.0ms

rewrite25.0ms

series36.0ms

simplify30.0ms

prune77.0ms

localize14.0ms

rewrite36.0ms

series54.0ms

simplify23.0ms

prune141.0ms

regimes253.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.2s

Profiling