Details

sample43.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
14.0ms	230×	body	80	nan

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	25	9
2	28	9
3	29	9
4	29	9

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: 1.0b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
1.0b	(/ (acos (/ (- g) h)) 3.0)
1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

15×	`frac-add`
10×	`frac-2neg` `clear-num`
8×	`associate-/l*`
6×	`div-sub`
4×	`associate-+r-` `*-commutative` `div-inv`
3×	`acos-neg` `acos-asin` `distribute-frac-neg`
2×	`+-commutative` `cos-diff` `cos-sum`
1×	`distribute-rgt-out` `flip3-+` `flip-+`

Counts

4 → 35

Calls

4 calls:

6.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
2.0ms	(/ (acos (/ (- g) h)) 3.0)
8.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
3.0ms	(/ (* 2.0 PI) 3.0)

series147.0ms

Counts

4 → 10

Calls

4 calls:

35.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
11.0ms	(/ (acos (/ (- g) h)) 3.0)
101.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify107.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	298	405
1	1139	391
2	4375	390
3	5001	390

prune111.0ms

Filtered

45 candidates to 34 candidates (75.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	2	46

Merged error: 0.0b

Counts

46 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (* 2.0 PI) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
58.2b	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

30×	`frac-add`
17×	`frac-2neg` `clear-num`
14×	`associate-/l*`
7×	`*-commutative`
5×	`div-inv`
3×	`+-commutative`
2×	`distribute-rgt-out` `flip3-+` `sin-sum` `flip-+`

Counts

4 → 45

Calls

4 calls:

3.0ms	(/ (* 2.0 PI) 3.0)
6.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
6.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
8.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

simplify101.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	241	406
1	936	372
2	3806	342
3	5002	342

prune182.0ms

Filtered

49 candidates to 35 candidates (71.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	49	2	51

Merged error: 0.0b

Counts

51 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ 3.0 (* 2.0 PI)) (acos (/ (- g) h)))
0.0b	(/ (+ (* (/ 3.0 (* 2.0 PI)) (acos (/ (- g) h))) 3.0) (* (/ 3.0 (* 2.0 PI)) 3.0))
0.0b	(+ (* (/ 3.0 (* 2.0 PI)) (acos (/ (- g) h))) 3.0)
1.0b	(cos (/ (+ (* (/ 3.0 (* 2.0 PI)) (acos (/ (- g) h))) 3.0) (* (/ 3.0 (* 2.0 PI)) 3.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*l/`
7×	`associate-/r*`
5×	`associate-/r/`
4×	`*-commutative`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`flip3-+` `associate-l` `flip-+` `associate-/l/`
1×	`+-commutative`

Counts

4 → 23

Calls

4 calls:

4.0ms	(* (/ 3.0 (* 2.0 PI)) (acos (/ (- g) h)))
10.0ms	(/ (+ (* (/ 3.0 (* 2.0 PI)) (acos (/ (- g) h))) 3.0) (* (/ 3.0 (* 2.0 PI)) 3.0))
5.0ms	(+ (* (/ 3.0 (* 2.0 PI)) (acos (/ (- g) h))) 3.0)
11.0ms	(cos (/ (+ (* (/ 3.0 (* 2.0 PI)) (acos (/ (- g) h))) 3.0) (* (/ 3.0 (* 2.0 PI)) 3.0)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (/ 3.0 (* 2.0 PI)) (acos (/ (- g) h)))
55.0ms	(/ (+ (* (/ 3.0 (* 2.0 PI)) (acos (/ (- g) h))) 3.0) (* (/ 3.0 (* 2.0 PI)) 3.0))
37.0ms	(+ (* (/ 3.0 (* 2.0 PI)) (acos (/ (- g) h))) 3.0)
102.0ms	(cos (/ (+ (* (/ 3.0 (* 2.0 PI)) (acos (/ (- g) h))) 3.0) (* (/ 3.0 (* 2.0 PI)) 3.0)))

simplify134.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (130.0ms)

Iter	Nodes	Cost
0	162	301
1	716	301
2	3720	294
3	5002	292

prune79.0ms

Filtered

35 candidates to 26 candidates (74.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	35	2	37

Merged error: 0.0b

Counts

37 → 2

regimes74.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	22
1	26	22

end0.0ms

sample1.1s

Algorithm

intervals

Results

473.0ms	8000×	body	80	valid
359.0ms	7722×	body	80	nan