Details

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 71.111111%

Results

26.0ms	47×	body	1280	valid
11.0ms	38×	body	640	valid
11.0ms	31×	body	1280	invalid
8.0ms	138×	body	80	valid
7.0ms	27×	body	640	invalid
5.0ms	15×	body	160	valid
4.0ms	57×	body	80	invalid
3.0ms	18×	body	320	valid
2.0ms	11×	body	320	invalid
1.0ms	10×	body	160	invalid

simplify108.0ms

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

prune3.0ms

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)))

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)))

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

prune60.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

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

series16.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ (exp (- 0.0 im)) (exp im))
12.0ms	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))

simplify108.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	211	313
1	807	277
2	3867	276
3	5002	276

prune59.0ms

Filtered

30 candidates to 41 candidates (-36.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
0.3b	(pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3)
19.4b	(cbrt (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`*-un-lft-identity`
8×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cube-div` `flip3-+` `associate-r` `flip-+`
3×	`pow-unpow` `pow-pow` `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` `associate-l` `sum-log` `*-commutative` `rem-cbrt-cube`

Counts

4 → 81

Calls

4 calls:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
11.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
12.0ms	(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))

series59.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (exp (- 0.0 im)) (exp im))
14.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
25.0ms	(pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3)
16.0ms	(cbrt (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3))

simplify66.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	410	821
1	2039	785
2	5001	784

prune135.0ms

Filtered

63 candidates to 93 candidates (-47.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

96 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (* re (pow im 2)))
0.0b	(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
0.1b	(* 0.16666666666666666 (pow re 3))
7.5b	(* re (pow im 2))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
24×	`add-exp-log`
21×	`associate-r`
13×	`prod-exp` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-l` `add-log-exp`
8×	`unpow-prod-down` `unswap-sqr`
6×	`pow1`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`pow-to-exp` `pow-exp` `*-commutative`
2×	`diff-log` `unpow2`
1×	`cube-mult` `sub-neg` `flip3--` `unpow3` `pow-prod-down` `associate--l+` `sum-log` `flip--`

Counts

4 → 91

Calls

4 calls:

5.0ms	(* 0.5 (* re (pow im 2)))
6.0ms	(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
6.0ms	(* 0.16666666666666666 (pow re 3))
5.0ms	(* re (pow im 2))

series29.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* 0.5 (* re (pow im 2)))
11.0ms	(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
4.0ms	(* 0.16666666666666666 (pow re 3))
7.0ms	(* re (pow im 2))

simplify55.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	344	512
1	1501	453
2	5001	445

prune121.0ms

Filtered

60 candidates to 103 candidates (-71.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

regimes237.0ms

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	14	7
1	14	7

end0.0ms

sample4.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 71.111111%

Results

815.0ms	1512×	body	1280	valid
712.0ms	1526×	body	1280	invalid
356.0ms	1218×	body	640	valid
312.0ms	1266×	body	640	invalid
266.0ms	4317×	body	80	valid
146.0ms	2298×	body	80	invalid
119.0ms	619×	body	320	valid
101.0ms	581×	body	320	invalid
41.0ms	334×	body	160	valid
41.0ms	316×	body	160	invalid

Details

sample1.2s

simplify108.0ms

prune3.0ms

localize10.0ms

rewrite18.0ms

series19.0ms

simplify37.0ms

prune60.0ms

localize10.0ms

rewrite19.0ms

series16.0ms

simplify108.0ms

prune59.0ms

localize13.0ms

rewrite35.0ms

series59.0ms

simplify66.0ms

prune135.0ms

localize12.0ms

rewrite24.0ms

series29.0ms

simplify55.0ms

prune121.0ms

regimes237.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.5s

Profiling