Details

Time bar (total: 3.7s)

sample60.0ms

Algorithm
intervals
Results
26.0ms52×body1280valid
10.0ms145×body80valid
9.0ms27×body640valid
5.0ms20×body320valid
2.0ms12×body160valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0209
1439
2939
31749
42699
52889
62889

prune3.0ms

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

localize12.0ms

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))

rewrite27.0ms

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:
8.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
9.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
10.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series182.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
42.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
78.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify73.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0158147
1554132
22212131
35002131

prune106.0ms

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)))

rewrite21.0ms

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))))
8.0ms
(/ (sin (* x 0.5)) (/ (sin x) (* (/ 8.0 3.0) (sin (* x 0.5)))))
5.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series182.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ (sin x) (* (/ 8.0 3.0) (sin (* x 0.5))))
79.0ms
(/ (sin (* x 0.5)) (/ (sin x) (* (/ 8.0 3.0) (sin (* x 0.5)))))
42.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify118.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0162183
1607174
23567169
35001169

prune116.0ms

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

localize12.0ms

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))))

rewrite18.0ms

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))
6.0ms
(/ (sin x) (/ (sin (* x 0.5)) (/ 3.0 8.0)))
8.0ms
(/ (sin (* x 0.5)) (/ (sin x) (/ (sin (* x 0.5)) (/ 3.0 8.0))))

series175.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (sin (* x 0.5)) (/ 3.0 8.0))
57.0ms
(/ (sin x) (/ (sin (* x 0.5)) (/ 3.0 8.0)))
78.0ms
(/ (sin (* x 0.5)) (/ (sin x) (/ (sin (* x 0.5)) (/ 3.0 8.0))))

simplify83.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0156220
1523211
22477199
35001199

prune128.0ms

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

localize13.0ms

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)))

rewrite22.0ms

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))
7.0ms
(/ (/ (sin (* x 0.5)) (/ 3.0 8.0)) (sin x))
9.0ms
(* (sin (* x 0.5)) (/ (/ (sin (* x 0.5)) (/ 3.0 8.0)) (sin x)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (sin (* x 0.5)) (/ 3.0 8.0))
66.0ms
(/ (/ (sin (* x 0.5)) (/ 3.0 8.0)) (sin x))
86.0ms
(* (sin (* x 0.5)) (/ (/ (sin (* x 0.5)) (/ 3.0 8.0)) (sin x)))

simplify106.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0163170
1547153
23043152
35001152

prune102.0ms

Filtered
42 candidates to 31 candidates (73.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New40242
Fresh268
Picked101
Done011
Total43952

Merged error: 0.0b

Counts
52 → 9

regimes33.0ms

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

sample1.9s

Algorithm
intervals
Results
805.0ms1537×body1280valid
413.0ms1235×body640valid
311.0ms4306×body80valid
138.0ms612×body320valid
50.0ms310×body160valid