Details

analyze338.0ms

Algorithm: search

sample96.0ms

Algorithm

intervals

Results

26.0ms	48×	body	1280	valid
14.0ms	53×	body	640	valid
14.0ms	43×	body	1280	invalid
8.0ms	134×	body	80	valid
7.0ms	33×	body	640	invalid
4.0ms	76×	body	80	invalid
4.0ms	25×	body	320	invalid
2.0ms	13×	body	320	valid
1.0ms	12×	body	160	invalid
1.0ms	8×	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

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)))

rewrite22.0ms

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:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
14.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series20.0ms

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)))

simplify38.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	265	349
1	1200	295
2	5001	294

prune57.0ms

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: 0.0b

Counts

42 → 3

localize11.0ms

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

rewrite27.0ms

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:

10.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
6.0ms	(* (* 0.5 (sin re)) (exp im))
10.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series41.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
11.0ms	(* (* 0.5 (sin re)) (exp im))
10.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify54.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (48.0ms)

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

prune77.0ms

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: 0b

Counts

63 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube`
21×	`add-exp-log`
19×	`associate-r`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`sqrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`exp-diff` `sqrt-div`
4×	`associate-*r/` `exp-sum`
3×	`associate-l` `*-commutative`
2×	`sub-neg`
1×	`+-commutative` `frac-times` `flip3-+` `associate-*l/` `sum-log` `flip-+`

Counts

4 → 82

Calls

4 calls:

6.0ms	(* (* 0.5 (sin re)) (exp im))
17.0ms	(+ (* (* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im)))) (sqrt (exp (- 0.0 im)))) (* (* 0.5 (sin re)) (exp im)))
11.0ms	(* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im))))
20.0ms	(* (* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im)))) (sqrt (exp (- 0.0 im))))

series56.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (* 0.5 (sin re)) (exp im))
23.0ms	(+ (* (* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im)))) (sqrt (exp (- 0.0 im)))) (* (* 0.5 (sin re)) (exp im)))
13.0ms	(* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im))))
10.0ms	(* (* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im)))) (sqrt (exp (- 0.0 im))))

simplify70.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	436	928
1	2173	746
2	5001	703

prune136.0ms

Filtered

59 candidates to 94 candidates (-59.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	94	4	98

Merged error: 0b

Counts

98 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (exp (- 0.0 im)) (exp im)))
0.0b	(sqrt (+ (exp (- 0.0 im)) (exp im)))
0.0b	(* (* 0.5 (sin re)) (* (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im)))))
1.0b	(* (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

34×	`sqrt-prod`
33×	`pow1`
32×	`*-un-lft-identity`
28×	`add-sqr-sqrt` `sqrt-div`
18×	`add-exp-log` `add-cbrt-cube`
14×	`add-cube-cbrt` `flip3-+` `flip-+`
12×	`associate-*r/`
11×	`swap-sqr` `pow-prod-down`
10×	`sqrt-pow1` `pow1/2`
9×	`prod-exp` `cbrt-unprod`
8×	`frac-times` `associate-r` `associate-l` `distribute-lft-out`
5×	`pow-prod-up`
4×	`associate-*l/` `add-log-exp` `unswap-sqr`
3×	`pow-sqr`
2×	`rem-sqrt-square` `*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 124

Calls

4 calls:

7.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
7.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
23.0ms	(* (* 0.5 (sin re)) (* (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im)))))
20.0ms	(* (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

series35.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
6.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
15.0ms	(* (* 0.5 (sin re)) (* (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im)))))
4.0ms	(* (sqrt (+ (exp (- 0.0 im)) (exp im))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

simplify58.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	402	1391
1	1630	1175
2	5001	1154

prune229.0ms

Filtered

74 candidates to 136 candidates (-83.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	136	4	140

Merged error: 0b

Counts

140 → 4

regimes304.0ms

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	16	10
1	16	10

end0.0ms

analyze334.0ms

Algorithm: search

sample2.9s

Algorithm

intervals

Results

790.0ms	1493×	body	1280	valid
514.0ms	1508×	body	1280	invalid
348.0ms	1229×	body	640	valid
292.0ms	1219×	body	640	invalid
254.0ms	4339×	body	80	valid
146.0ms	2392×	body	80	invalid
117.0ms	650×	body	320	valid
104.0ms	607×	body	320	invalid
41.0ms	330×	body	160	invalid
34.0ms	289×	body	160	valid

Details

analyze338.0ms

sample96.0ms

simplify106.0ms

prune3.0ms

localize10.0ms

rewrite22.0ms

series20.0ms

simplify38.0ms

prune57.0ms

localize11.0ms

rewrite27.0ms

series41.0ms

simplify54.0ms

prune77.0ms

localize13.0ms

rewrite56.0ms

series56.0ms

simplify70.0ms

prune136.0ms

localize12.0ms

rewrite61.0ms

series35.0ms

simplify58.0ms

prune229.0ms

regimes304.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze334.0ms

sample2.9s

Profiling