Details

analyze424.0ms

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

sample96.0ms

Algorithm

intervals

Results

22.0ms	42×	body	1280	valid
15.0ms	44×	body	1280	invalid
11.0ms	37×	body	640	valid
11.0ms	44×	body	640	invalid
9.0ms	147×	body	80	valid
5.0ms	79×	body	80	invalid
3.0ms	19×	body	320	valid
3.0ms	18×	body	320	invalid
1.0ms	12×	body	160	invalid
1.0ms	11×	body	160	valid

simplify106.0ms

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

prune7.0ms

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: 0.3b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.2b	(* (* 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)))

series18.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ (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 (32.0ms)

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 (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: 0.2b

Counts

42 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (exp im))
0.0b	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
0.3b	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

6.0ms	(* (* 0.5 (sin re)) (exp im))
12.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
9.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(* (* 0.5 (sin re)) (exp im))
19.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
10.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify53.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	327	481
1	1562	398
2	5001	393

prune76.0ms

Filtered

41 candidates to 60 candidates (-46.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	59	4	63

Merged error: 0.0b

Counts

63 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow im 2) 2)
0.0b	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
0.0b	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
0.1b	(* 1/12 (pow im 4))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

5.0ms	(+ (pow im 2) 2)
8.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
11.0ms	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
5.0ms	(* 1/12 (pow im 4))

series37.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (pow im 2) 2)
4.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
26.0ms	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
4.0ms	(* 1/12 (pow im 4))

simplify62.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	408	554
1	2102	489
2	5001	486

prune122.0ms

Filtered

54 candidates to 84 candidates (-55.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (* 0.5 (sin re))) 0.0) im)
0.0b	(+ (exp (- (+ (log (* 0.5 (sin re))) 0.0) im)) (* (* 0.5 (sin re)) (exp im)))
0.1b	(log (* 0.5 (sin re)))
2.0b	(exp (- (+ (log (* 0.5 (sin re))) 0.0) im))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
15×	`add-log-exp`
13×	`pow1`
9×	`add-sqr-sqrt`
8×	`exp-prod` `distribute-lft-out--`
7×	`add-exp-log`
6×	`log-pow` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`diff-log` `add-cbrt-cube`
3×	`exp-sum` `pow-prod-down` `sum-log` `rem-exp-log`
2×	`sub-neg` `rem-log-exp` `associate--l+` `difference-of-squares`
1×	`+-commutative` `log-prod` `flip3--` `flip3-+` `exp-diff` `prod-exp` `flip--` `flip-+`

Counts

4 → 64

Calls

4 calls:

8.0ms	(- (+ (log (* 0.5 (sin re))) 0.0) im)
11.0ms	(+ (exp (- (+ (log (* 0.5 (sin re))) 0.0) im)) (* (* 0.5 (sin re)) (exp im)))
3.0ms	(log (* 0.5 (sin re)))
9.0ms	(exp (- (+ (log (* 0.5 (sin re))) 0.0) im))

series56.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (+ (log (* 0.5 (sin re))) 0.0) im)
20.0ms	(+ (exp (- (+ (log (* 0.5 (sin re))) 0.0) im)) (* (* 0.5 (sin re)) (exp im)))
12.0ms	(log (* 0.5 (sin re)))
11.0ms	(exp (- (+ (log (* 0.5 (sin re))) 0.0) im))

simplify36.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	285	603
1	1145	553
2	5002	518

prune102.0ms

Filtered

49 candidates to 76 candidates (-55.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	76	4	80

Merged error: 0.0b

Counts

80 → 4

regimes285.0ms

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

analyze371.0ms

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

sample3.3s

Algorithm

intervals

Results

898.0ms	1491×	body	1280	valid
561.0ms	1422×	body	1280	invalid
420.0ms	1284×	body	640	valid
321.0ms	1175×	body	640	invalid
301.0ms	4298×	body	80	valid
168.0ms	2356×	body	80	invalid
127.0ms	611×	body	320	valid
119.0ms	600×	body	320	invalid
44.0ms	316×	body	160	valid
43.0ms	296×	body	160	invalid

Details

analyze424.0ms

sample96.0ms

simplify106.0ms

prune7.0ms

localize10.0ms

rewrite18.0ms

series18.0ms

simplify37.0ms

prune60.0ms

localize11.0ms

rewrite29.0ms

series37.0ms

simplify53.0ms

prune76.0ms

localize14.0ms

rewrite31.0ms

series37.0ms

simplify62.0ms

prune122.0ms

localize13.0ms

rewrite33.0ms

series56.0ms

simplify36.0ms

prune102.0ms

regimes285.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze371.0ms

sample3.3s

Profiling