Details

sample100.0ms

Algorithm

intervals

Results

37.0ms	92×	body	1280	valid
24.0ms	95×	body	640	valid
16.0ms	294×	body	80	valid
5.0ms	31×	body	320	valid
1.0ms	12×	body	160	valid

simplify109.0ms

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

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

localize14.0ms

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)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (exp (- 0.0 im)) (exp im))
66.0ms	(* (* 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

prune90.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Merged error: 0b

Counts

42 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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:

12.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
10.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
6.0ms	(* (* 0.5 (sin re)) (exp im))

series172.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
90.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
37.0ms	(* (* 0.5 (sin re)) (exp im))

simplify53.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (47.0ms)

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

prune120.0ms

Filtered

60 candidates to 41 candidates (68.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	60	4	64

Merged error: 0b

Counts

64 → 4

localize15.0ms

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)))
0.5b	(* (* 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))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

7.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
7.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
13.0ms	(* (* 0.5 (sin re)) (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))))

series262.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
53.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
91.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
70.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

simplify56.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	415	1191
1	1831	1017
2	5002	994

prune228.0ms

Filtered

101 candidates to 62 candidates (61.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	101	4	105

Merged error: 0b

Counts

105 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (neg (exp (+ im im)))) (* 0.5 (sin re)))
0.1b	(/ (* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (neg (exp (+ im im)))) (* 0.5 (sin re))) (- (exp (- 0.0 im)) (exp im)))
5.1b	(- (exp (- 0.0 im)) (exp im))
5.3b	(+ (exp (+ (- 0.0 im) (- 0.0 im))) (neg (exp (+ im im))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
10×	`add-log-exp`
9×	`pow1`
7×	`add-cube-cbrt`
6×	`prod-exp` `cbrt-unprod`
5×	`times-frac` `associate-l` `associate-/r*`
4×	`associate-*l/` `distribute-lft-out`
3×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `flip-+` `distribute-lft-out--` `difference-of-squares`
2×	`flip3--` `distribute-rgt-neg-in` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`+-commutative` `neg-sub0` `associate-+r-` `sub-neg` `frac-2neg` `diff-log` `associate-r` `unsub-neg` `neg-log` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 84

Calls

4 calls:

25.0ms	(* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (neg (exp (+ im im)))) (* 0.5 (sin re)))
31.0ms	(/ (* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (neg (exp (+ im im)))) (* 0.5 (sin re))) (- (exp (- 0.0 im)) (exp im)))
7.0ms	(- (exp (- 0.0 im)) (exp im))
19.0ms	(+ (exp (+ (- 0.0 im) (- 0.0 im))) (neg (exp (+ im im))))

series313.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (neg (exp (+ im im)))) (* 0.5 (sin re)))
131.0ms	(/ (* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (neg (exp (+ im im)))) (* 0.5 (sin re))) (- (exp (- 0.0 im)) (exp im)))
39.0ms	(- (exp (- 0.0 im)) (exp im))
47.0ms	(+ (exp (+ (- 0.0 im) (- 0.0 im))) (neg (exp (+ im im))))

simplify61.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	500	1370
1	2261	1098
2	5001	1082

prune304.0ms

Filtered

96 candidates to 70 candidates (72.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	96	4	100

Merged error: 0b

Counts

100 → 4

regimes170.0ms

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

sample3.1s

Algorithm

intervals

Results

1.3s	2952×	body	1280	valid
681.0ms	2511×	body	640	valid
489.0ms	8553×	body	80	valid
225.0ms	1219×	body	320	valid
77.0ms	637×	body	160	valid

Details

sample100.0ms

simplify109.0ms

prune3.0ms

localize14.0ms

rewrite19.0ms

series91.0ms

simplify38.0ms

prune90.0ms

localize12.0ms

rewrite30.0ms

series172.0ms

simplify53.0ms

prune120.0ms

localize15.0ms

rewrite52.0ms

series262.0ms

simplify56.0ms

prune228.0ms

localize22.0ms

rewrite85.0ms

series313.0ms

simplify61.0ms

prune304.0ms

regimes170.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.1s

Profiling