Details

analyze343.0ms

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

sample95.0ms

Algorithm

intervals

Results

21.0ms	39×	body	1280	valid
11.0ms	40×	body	640	valid
9.0ms	155×	body	80	valid
2.0ms	12×	body	320	valid
1.0ms	10×	body	160	valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

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:

9.0ms	(+ (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))
16.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify26.0ms

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

localize14.0ms

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)))

rewrite24.0ms

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)))

simplify29.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5291	572

prune76.0ms

Filtered

44 candidates to 59 candidates (-34.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	60	2	62

Merged error: 0b

Counts

62 → 2

localize10.0ms

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))

rewrite18.0ms

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:

7.0ms	(+ (* 0.5 (/ (sin re) (exp im))) (* 0.5 (* (sin re) (exp im))))
4.0ms	(/ (sin re) (exp im))
5.0ms	(* (sin re) (exp im))

series38.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (* 0.5 (/ (sin re) (exp im))) (* 0.5 (* (sin re) (exp im))))
9.0ms	(/ (sin re) (exp im))
9.0ms	(* (sin re) (exp im))

simplify45.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5005	631

prune61.0ms

Filtered

49 candidates to 66 candidates (-34.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	66	2	68

Merged error: 0b

Counts

68 → 2

regimes106.0ms

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	15
1	14	15

end0.0ms

sample3.2s

Algorithm

intervals

Results

768.0ms	1481×	body	1280	valid
344.0ms	1214×	body	640	valid
250.0ms	4366×	body	80	valid
111.0ms	624×	body	320	valid
39.0ms	315×	body	160	valid

Details

analyze343.0ms

sample95.0ms

simplify68.0ms

prune7.0ms

localize11.0ms

rewrite21.0ms

series19.0ms

simplify26.0ms

prune62.0ms

localize14.0ms

rewrite24.0ms

series36.0ms

simplify29.0ms

prune76.0ms

localize10.0ms

rewrite18.0ms

series38.0ms

simplify45.0ms

prune61.0ms

regimes106.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.2s

Profiling