Details

analyze372.0ms

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
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

sample96.0ms

Algorithm

intervals

Results

29.0ms	55×	body	1280	valid
17.0ms	53×	body	1280	invalid
13.0ms	36×	body	640	valid
7.0ms	33×	body	640	invalid
7.0ms	138×	body	80	valid
3.0ms	16×	body	320	valid
3.0ms	19×	body	320	invalid
1.0ms	11×	body	160	valid
1.0ms	10×	body	160	invalid
1.0ms	17×	body	80	invalid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	258	11
1	258	11

prune6.0ms

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

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (neg im)) (exp im))
0.0b	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

rewrite15.0ms

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:

5.0ms	(+ (exp (neg im)) (exp im))
9.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

series17.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ (exp (neg im)) (exp im))
14.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

simplify51.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5913	437

prune54.0ms

Filtered

27 candidates to 41 candidates (-51.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	4	42

Merged error: 0b

Counts

42 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (exp im) -2)
0.1b	(pow (exp im) 3)
0.1b	(pow (exp im) -3)
6.8b	(- (pow (exp im) 2) 1)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`unpow-prod-down` `pow-pow`
9×	`pow-unpow` `exp-prod`
8×	`difference-of-squares`
7×	`pow1`
6×	`add-log-exp` `sqr-pow`
5×	`add-cbrt-cube`
4×	`add-exp-log` `difference-of-sqr-1`
3×	`pow-to-exp` `cube-prod` `pow-exp` `unpow2`
1×	`cube-mult` `sub-neg` `flip3--` `diff-log` `unpow3` `flip--` `distribute-lft-out--` `rem-cube-cbrt`

Counts

4 → 90

Calls

4 calls:

3.0ms	(pow (exp im) -2)
3.0ms	(pow (exp im) 3)
3.0ms	(pow (exp im) -3)
6.0ms	(- (pow (exp im) 2) 1)

series19.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(pow (exp im) -2)
4.0ms	(pow (exp im) 3)
7.0ms	(pow (exp im) -3)
4.0ms	(- (pow (exp im) 2) 1)

simplify32.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5060	605

prune158.0ms

Filtered

60 candidates to 102 candidates (-70.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	102	4	106

Merged error: 0b

Counts

106 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (neg im)) (exp im))
0.0b	(* (cos re) (+ (exp (neg im)) (exp im)))
0.3b	(cbrt (pow (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im)))) 3))
0.4b	(pow (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im)))) 3)

rewrite28.0ms

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:

5.0ms	(+ (exp (neg im)) (exp im))
8.0ms	(* (cos re) (+ (exp (neg im)) (exp im)))
3.0ms	(cbrt (pow (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im)))) 3))
10.0ms	(pow (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im)))) 3)

series52.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (exp (neg im)) (exp im))
10.0ms	(* (cos re) (+ (exp (neg im)) (exp im)))
12.0ms	(cbrt (pow (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im)))) 3))
26.0ms	(pow (* 0.5 (* (cos re) (+ (exp (neg im)) (exp im)))) 3)

simplify50.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4951	1106
1	4951	1106

prune110.0ms

Filtered

62 candidates to 93 candidates (-50.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	93	4	97

Merged error: 0b

Counts

97 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (neg im)) (exp im))
0.0b	(exp (+ (exp (neg im)) (exp im)))
0.1b	(pow (exp (+ (exp (neg im)) (exp im))) (* 0.5 (cos re)))
0.6b	(log (pow (exp (+ (exp (neg im)) (exp im))) (* 0.5 (cos re))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
8×	`unpow-prod-down` `log-prod` `exp-prod`
5×	`pow1` `add-exp-log` `pow-pow`
4×	`add-cbrt-cube`
3×	`rem-log-exp` `exp-sum` `distribute-lft-out`
2×	`pow-to-exp` `pow-exp` `sum-log` `rem-exp-log` `sqr-pow`
1×	`+-commutative` `pow-unpow` `flip3-+` `log-pow` `flip-+`

Counts

4 → 65

Calls

4 calls:

5.0ms	(+ (exp (neg im)) (exp im))
6.0ms	(exp (+ (exp (neg im)) (exp im)))
7.0ms	(pow (exp (+ (exp (neg im)) (exp im))) (* 0.5 (cos re)))
6.0ms	(log (pow (exp (+ (exp (neg im)) (exp im))) (* 0.5 (cos re))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (exp (neg im)) (exp im))
9.0ms	(exp (+ (exp (neg im)) (exp im)))
21.0ms	(pow (exp (+ (exp (neg im)) (exp im))) (* 0.5 (cos re)))
26.0ms	(log (pow (exp (+ (exp (neg im)) (exp im))) (* 0.5 (cos re))))

simplify56.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5049	911

prune85.0ms

Filtered

53 candidates to 77 candidates (-45.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	77	4	81

Merged error: 0b

Counts

81 → 4

regimes244.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	26
1	25	26

end0.0ms

analyze345.0ms

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
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

sample2.7s

Algorithm

intervals

Results

782.0ms	1519×	body	1280	valid
507.0ms	1549×	body	1280	invalid
332.0ms	1228×	body	640	valid
262.0ms	1194×	body	640	invalid
231.0ms	4345×	body	80	valid
103.0ms	611×	body	320	valid
101.0ms	619×	body	320	invalid
37.0ms	296×	body	160	invalid
33.0ms	297×	body	160	valid
29.0ms	489×	body	80	invalid

Details

analyze372.0ms

sample96.0ms

simplify10.0ms

prune6.0ms

localize12.0ms

rewrite15.0ms

series17.0ms

simplify51.0ms

prune54.0ms

localize20.0ms

rewrite17.0ms

series19.0ms

simplify32.0ms

prune158.0ms

localize13.0ms

rewrite28.0ms

series52.0ms

simplify50.0ms

prune110.0ms

localize18.0ms

rewrite26.0ms

series59.0ms

simplify56.0ms

prune85.0ms

regimes244.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze345.0ms

sample2.7s

Profiling