Details

analyze379.0ms

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

sample108.0ms

Algorithm

intervals

Results

28.0ms	51×	body	1280	valid
18.0ms	47×	body	640	valid
16.0ms	41×	body	1280	invalid
10.0ms	39×	body	640	invalid
8.0ms	127×	body	80	valid
5.0ms	73×	body	80	invalid
4.0ms	23×	body	320	invalid
3.0ms	18×	body	320	valid
2.0ms	13×	body	160	valid
0.0ms	1×	body	160	invalid

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)))

rewrite18.0ms

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))
11.0ms	(* (* 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)))

simplify31.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5131	485

prune71.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	1	0	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 (- 0.0 im)))
0.0b	(* (sin re) (exp 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))))
8.0ms	(* (sin re) (exp (- 0.0 im)))
5.0ms	(* (sin re) (exp im))

series34.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im))))
8.0ms	(* (sin re) (exp (- 0.0 im)))
7.0ms	(* (sin re) (exp im))

simplify32.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5291	572

prune87.0ms

Filtered

44 candidates to 59 candidates (-34.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	59	3	62

Merged error: 0b

Counts

62 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-cbrt-cube`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

8.0ms	(+ (* 0.5 (/ (sin re) (exp im))) (* 0.5 (* (sin re) (exp im))))
5.0ms	(/ (sin re) (exp im))
5.0ms	(* (sin re) (exp im))

series179.0ms

Counts

3 → 9

Calls

3 calls:

163.0ms	(+ (* 0.5 (/ (sin re) (exp im))) (* 0.5 (* (sin re) (exp im))))
8.0ms	(/ (sin re) (exp im))
7.0ms	(* (sin re) (exp im))

simplify49.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5005	631

prune72.0ms

Filtered

49 candidates to 66 candidates (-34.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	66	3	69

Merged error: 0b

Counts

69 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- 0.0 im)) 2)
0.7b	(/ (* 0.5 (* (sin re) (- (pow (exp (- 0.0 im)) 2) (pow (exp im) 2)))) (- (exp (- 0.0 im)) (exp im)))
6.5b	(- (pow (exp (- 0.0 im)) 2) (pow (exp im) 2))
6.5b	(- (exp (- 0.0 im)) (exp im))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`difference-of-squares`
14×	`unpow-prod-down`
13×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `unpow2` `sqr-pow`
8×	`add-log-exp`
6×	`pow-pow` `distribute-lft-out--`
5×	`pow1` `exp-prod` `times-frac` `associate-/r*`
4×	`flip3--` `associate-*r/` `flip--`
3×	`cbrt-undiv` `sub-neg` `pow-unpow` `div-exp` `prod-exp` `cbrt-unprod`
2×	`diff-log` `associate-/r/` `associate-/l/`
1×	`pow-to-exp` `frac-2neg` `exp-sum` `pow-exp` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 97

Calls

4 calls:

8.0ms	(pow (exp (- 0.0 im)) 2)
24.0ms	(/ (* 0.5 (* (sin re) (- (pow (exp (- 0.0 im)) 2) (pow (exp im) 2)))) (- (exp (- 0.0 im)) (exp im)))
11.0ms	(- (pow (exp (- 0.0 im)) 2) (pow (exp im) 2))
7.0ms	(- (exp (- 0.0 im)) (exp im))

series58.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(pow (exp (- 0.0 im)) 2)
41.0ms	(/ (* 0.5 (* (sin re) (- (pow (exp (- 0.0 im)) 2) (pow (exp im) 2)))) (- (exp (- 0.0 im)) (exp im)))
9.0ms	(- (pow (exp (- 0.0 im)) 2) (pow (exp im) 2))
5.0ms	(- (exp (- 0.0 im)) (exp im))

simplify51.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5015	1648

prune198.0ms

Filtered

72 candidates to 109 candidates (-51.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	109	3	112

Merged error: 0b

Counts

112 → 3

regimes134.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	28	17
1	28	17

end0.0ms

sample3.2s

Algorithm

intervals

Results

843.0ms	1497×	body	1280	valid
559.0ms	1513×	body	1280	invalid
396.0ms	1249×	body	640	valid
320.0ms	1248×	body	640	invalid
289.0ms	4328×	body	80	valid
169.0ms	2463×	body	80	invalid
122.0ms	634×	body	320	invalid
118.0ms	592×	body	320	valid
46.0ms	334×	body	160	valid
39.0ms	304×	body	160	invalid

Details

analyze379.0ms

sample108.0ms

simplify69.0ms

prune7.0ms

localize11.0ms

rewrite18.0ms

series19.0ms

simplify31.0ms

prune71.0ms

localize13.0ms

rewrite25.0ms

series34.0ms

simplify32.0ms

prune87.0ms

localize11.0ms

rewrite19.0ms

series179.0ms

simplify49.0ms

prune72.0ms

localize17.0ms

rewrite54.0ms

series58.0ms

simplify51.0ms

prune198.0ms

regimes134.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.2s

Profiling