Details

Time bar (total: 4.1s)

sample64.0ms

Algorithm
intervals
Results
24.0ms51×body1280valid
13.0ms43×body640valid
11.0ms128×body80valid
5.0ms23×body320valid
2.0ms11×body160valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 13.8b

Counts
2 → 1

localize11.0ms

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)))
13.6b
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*l*
13×times-frac
12×prod-exp cbrt-unprod
10×pow1
7×cbrt-undiv div-exp
6×associate-*r*
5×associate-*l/
4×pow-prod-down
3×associate-/r* add-log-exp
2×*-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/l/ associate-/l*
Counts
3 → 79
Calls
3 calls:
9.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
7.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
10.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series172.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
36.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))
79.0ms
(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify62.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0402818
12097614
25002599

prune217.0ms

Filtered
88 candidates to 62 candidates (70.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New761288
Fresh000
Picked101
Done000
Total771289

Merged error: 0.1b

Counts
89 → 12

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
50×times-frac
38×add-sqr-sqrt
33×add-cube-cbrt *-un-lft-identity
31×add-exp-log add-cbrt-cube
16×associate-/r*
13×cbrt-undiv div-exp associate-*l*
6×prod-exp cbrt-unprod
5×pow1 div-inv
4×associate-/l*
3×associate-*r* add-log-exp
2×frac-2neg associate-*l/ clear-num unswap-sqr
1×pow-prod-down associate-/r/ *-commutative associate-/l/
Counts
3 → 110
Calls
3 calls:
4.0ms
(/ (sin x) (sin (* 0.5 x)))
10.0ms
(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
7.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (sin x) (sin (* 0.5 x)))
77.0ms
(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* 0.5 x))))
37.0ms
(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify72.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05401166
12701980
25002956

prune298.0ms

Filtered
119 candidates to 89 candidates (74.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1136119
Fresh7411
Picked101
Done000
Total12110131

Merged error: 0b

Counts
131 → 10

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
24×add-sqr-sqrt
20×times-frac
19×add-cube-cbrt *-un-lft-identity
13×associate-*l*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
5×pow1
4×associate-/r* associate-/l*
3×associate-*r* div-inv add-log-exp
2×frac-2neg associate-*l/ clear-num unswap-sqr
1×pow-prod-down associate-/r/ *-commutative
Counts
3 → 85
Calls
3 calls:
7.0ms
(* (/ (sin x) (sin (* 0.5 x))) 3.0)
9.0ms
(/ (sin x) (sin (* 0.5 x)))
9.0ms
(/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))

series182.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(* (/ (sin x) (sin (* 0.5 x))) 3.0)
39.0ms
(/ (sin x) (sin (* 0.5 x)))
80.0ms
(/ (* 8.0 (sin (* x 0.5))) (* (/ (sin x) (sin (* 0.5 x))) 3.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0423884
12225705
25001686

prune218.0ms

Filtered
94 candidates to 65 candidates (69.1%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New94094
Fresh099
Picked011
Done000
Total9410104

Merged error: 0b

Counts
104 → 10

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
49×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
28×add-exp-log add-cbrt-cube
19×associate-/r*
13×cbrt-undiv div-exp
7×associate-/l*
5×div-inv
4×prod-exp cbrt-unprod
3×pow1 frac-2neg clear-num add-log-exp
1×associate-*r/ associate-/r/ associate-/l/
Counts
3 → 105
Calls
3 calls:
4.0ms
(/ (sin (* 0.5 x)) 3.0)
5.0ms
(/ (sin x) (sin (* 0.5 x)))
9.0ms
(/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))

series162.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (sin (* 0.5 x)) 3.0)
46.0ms
(/ (sin x) (sin (* 0.5 x)))
80.0ms
(/ (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin x) (sin (* 0.5 x))))

simplify71.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05041132
12553976
25002950

prune224.0ms

Filtered
114 candidates to 85 candidates (74.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1122114
Fresh268
Picked011
Done011
Total11410124

Merged error: 0b

Counts
124 → 10

regimes39.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159
1179
2179

end0.0ms

sample1.9s

Algorithm
intervals
Results
958.0ms1548×body1280valid
375.0ms1265×body640valid
301.0ms4304×body80valid
132.0ms609×body320valid
40.0ms274×body160valid

Profiling

Loading profile data...