Details

sample93.0ms

Algorithm

intervals

Results

37.0ms	93×	body	1280	valid
16.0ms	289×	body	80	valid
14.0ms	65×	body	640	valid
8.0ms	52×	body	320	valid
3.0ms	31×	body	160	valid

simplify71.0ms

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	1662	7
8	4217	7
9	5002	7

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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)))

rewrite19.0ms

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

series90.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
68.0ms	(* (* 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	268	349
1	1226	295
2	5002	294

prune97.0ms

Filtered

41 candidates to 28 candidates (68.3%)

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

10.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
11.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
6.0ms	(* (* 0.5 (sin re)) (exp im))

series170.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
46.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
36.0ms	(* (* 0.5 (sin re)) (exp im))

simplify55.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	328	481
1	1554	400
2	5002	395

prune142.0ms

Filtered

60 candidates to 42 candidates (70.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	60	3	63

Merged error: 0.0b

Counts

63 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(+ (exp (- 0.0 im)) (exp im))
0.4b	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
0.5b	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`*-un-lft-identity`
14×	`sqrt-div` `associate-r`
10×	`associate-*r/`
9×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt` `sqrt-prod` `add-log-exp`
4×	`frac-times` `distribute-lft-out`
2×	`+-commutative` `associate-l` `associate-l/` `sum-log` `-commutative`

Counts

4 → 81

Calls

4 calls:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
7.0ms	(+ (exp (- 0.0 im)) (exp im))
12.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
22.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

series202.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (exp (- 0.0 im)) (exp im))
22.0ms	(+ (exp (- 0.0 im)) (exp im))
87.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
67.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

simplify55.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	411	1087
1	1858	905
2	5002	894

prune229.0ms

Filtered

93 candidates to 60 candidates (64.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	92	4	96

Merged error: 0b

Counts

96 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (+ (exp (- 0.0 im)) (exp im))))
0.3b	(* (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))
0.3b	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))
0.4b	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

114×	`sqrt-div`
38×	`sqrt-prod`
36×	`associate-*r/`
35×	`flip3-+` `flip-+`
34×	`pow1`
32×	`add-exp-log` `frac-times` `add-cbrt-cube`
27×	`associate-r`
22×	`*-un-lft-identity`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`add-sqr-sqrt` `associate-*l/`
14×	`add-cube-cbrt`
4×	`sqrt-pow1` `distribute-lft-out` `add-log-exp`
3×	`associate-l` `*-commutative`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 139

Calls

4 calls:

8.0ms	(sqrt (sqrt (+ (exp (- 0.0 im)) (exp im))))
38.0ms	(* (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))
23.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))
13.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))

series436.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(sqrt (sqrt (+ (exp (- 0.0 im)) (exp im))))
69.0ms	(* (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))
145.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))
89.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))

simplify102.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	709	3148
1	3332	2610
2	5001	2467

prune423.0ms

Filtered

151 candidates to 88 candidates (58.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	151	4	155

Merged error: 0b

Counts

155 → 4

regimes126.0ms

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

sample2.8s

Algorithm

intervals

Results

1.2s	3013×	body	1280	valid
552.0ms	2424×	body	640	valid
415.0ms	8444×	body	80	valid
197.0ms	1339×	body	320	valid
61.0ms	608×	body	160	valid