Details

Time bar (total: 3.3s)

sample52.0ms

Algorithm
intervals
Results
22.0ms52×body1280valid
8.0ms145×body80valid
7.0ms27×body640valid
4.0ms20×body320valid
2.0ms12×body160valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0209
1439
2939
31749
42699
52889
62889

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.9b

Counts
2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.4b
(* (/ 8.0 3.0) (sin (* x 0.5)))
16.7b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
15×associate-*l/
9×associate-*l*
5×*-commutative associate-/l*
4×frac-2neg clear-num div-inv
3×associate-/l/
Counts
3 → 23
Calls
3 calls:
7.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
4.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
9.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series162.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
34.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
74.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify91.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0154149
1530136
22106135
35001135

prune88.0ms

Filtered
32 candidates to 27 candidates (84.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New24832
Fresh000
Picked101
Done000
Total25833

Merged error: 0.2b

Counts
33 → 8

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin x) (* (/ 8.0 3.0) (sin (* x 0.5))))
0.2b
(/ (sin (* x 0.5)) (/ (sin x) (* (/ 8.0 3.0) (sin (* x 0.5)))))
0.4b
(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-/r/
10×associate-/r*
9×associate-*l/
6×frac-2neg clear-num div-inv
3×associate-*l* *-commutative
Counts
3 → 27
Calls
3 calls:
6.0ms
(/ (sin x) (* (/ 8.0 3.0) (sin (* x 0.5))))
7.0ms
(/ (sin (* x 0.5)) (/ (sin x) (* (/ 8.0 3.0) (sin (* x 0.5)))))
4.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series166.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(/ (sin x) (* (/ 8.0 3.0) (sin (* x 0.5))))
73.0ms
(/ (sin (* x 0.5)) (/ (sin x) (* (/ 8.0 3.0) (sin (* x 0.5)))))
34.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify127.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0158185
1587178
23475173
35002173

prune97.0ms

Filtered
36 candidates to 30 candidates (83.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New31536
Fresh257
Picked101
Done000
Total341044

Merged error: 0.0b

Counts
44 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin (* x 0.5)) (/ 3.0 8.0))
0.1b
(/ (sin x) (/ (sin (* x 0.5)) (/ 3.0 8.0)))
0.2b
(/ (sin (* x 0.5)) (/ (sin x) (/ (sin (* x 0.5)) (/ 3.0 8.0))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-/r/
16×associate-/r*
9×frac-2neg clear-num div-inv
Counts
3 → 33
Calls
3 calls:
4.0ms
(/ (sin (* x 0.5)) (/ 3.0 8.0))
5.0ms
(/ (sin x) (/ (sin (* x 0.5)) (/ 3.0 8.0)))
7.0ms
(/ (sin (* x 0.5)) (/ (sin x) (/ (sin (* x 0.5)) (/ 3.0 8.0))))

series169.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (sin (* x 0.5)) (/ 3.0 8.0))
54.0ms
(/ (sin x) (/ (sin (* x 0.5)) (/ 3.0 8.0)))
75.0ms
(/ (sin (* x 0.5)) (/ (sin x) (/ (sin (* x 0.5)) (/ 3.0 8.0))))

simplify101.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0152222
1503215
22385203
35001203

prune112.0ms

Filtered
42 candidates to 34 candidates (81.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New38442
Fresh459
Picked011
Done000
Total421052

Merged error: 0.0b

Counts
52 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin (* x 0.5)) (/ 3.0 8.0))
0.3b
(/ (/ (sin (* x 0.5)) (/ 3.0 8.0)) (sin x))
0.3b
(* (sin (* x 0.5)) (/ (/ (sin (* x 0.5)) (/ 3.0 8.0)) (sin x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
11×associate-*r/
10×clear-num
9×associate-/r/ associate-/l/
8×frac-2neg div-inv associate-/l*
3×associate-/r*
2×un-div-inv
1×associate-*r* *-commutative
Counts
3 → 33
Calls
3 calls:
4.0ms
(/ (sin (* x 0.5)) (/ 3.0 8.0))
6.0ms
(/ (/ (sin (* x 0.5)) (/ 3.0 8.0)) (sin x))
8.0ms
(* (sin (* x 0.5)) (/ (/ (sin (* x 0.5)) (/ 3.0 8.0)) (sin x)))

series175.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (sin (* x 0.5)) (/ 3.0 8.0))
59.0ms
(/ (/ (sin (* x 0.5)) (/ 3.0 8.0)) (sin x))
78.0ms
(* (sin (* x 0.5)) (/ (/ (sin (* x 0.5)) (/ 3.0 8.0)) (sin x)))

simplify115.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0158174
1525158
22943157
35001157

prune89.0ms

Filtered
42 candidates to 32 candidates (76.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New39342
Fresh358
Picked101
Done011
Total43952

Merged error: 0.0b

Counts
52 → 9

regimes31.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129
1129

end0.0ms

sample1.6s

Algorithm
intervals
Results
690.0ms1537×body1280valid
348.0ms1235×body640valid
264.0ms4306×body80valid
115.0ms612×body320valid
40.0ms310×body160valid